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Paper Citation Record · LEDGER

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia

As of 10 August 2026, this Paper Citation Record lists 57 of 57 outbound references and 1 inbound Pith citation observation for arXiv:2506.07926.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.07926 v1

Coverage vector

measured 57 of 57 reference resolution

Typed states for the displayed outbound observations.

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measured 58 of 58 standing notices

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measured 1 of 1 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: pith, observed 2026-08-07T05:27:22.245705Z

Reference resolution

57 of 57 outbound references displayed

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External citation measurements

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Outbound references

Observation 5b15f8ce-6433-498c-9f3e-e56c4cb49e94 · outbound

This paper cites FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia

Reference 1

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Observation e545dbef-4c44-43e6-b8fe-4640e0d8fd7f · outbound

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FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Unresolved cited work

Reference 2

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Observation 9193f98e-5f5f-4d50-bd2e-e311efe72b58 · outbound

This paper cites define the problem then solve the problem.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia define the problem then solve the problem

Reference 3

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Observation cec6326e-8ec4-4dde-8f00-4f3c80135897 · outbound

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FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Unresolved cited work

Reference 4

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Observation 30528715-4250-48e6-ae4f-8139fbe6a21f · outbound

This paper cites In this work, we present a high performance package for numerically solve frac- tional differential equations within the Julia language and SciML ecosystem.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia In this work, we present a high performance package for numerically solve frac- tional differential equations within the Julia language and SciML ecosystem

Reference 5

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Observation f137b820-ec5e-4a94-bd1c-acfe5cdae169 · outbound

This paper cites define problem-solve problem.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia define problem-solve problem

Reference 6

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Observation 70205b6c-3cb9-4e7e-b653-15cb65f57bf5 · outbound

This paper cites Algorithm xxxx: Fdesolver, a julia package for solving fractional differential equations.ACM Trans.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Algorithm xxxx: Fdesolver, a julia package for solving fractional differential equations.ACM Trans

Reference 7

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Observation 0ea5e829-9288-460d-b24e-05261257607c · outbound

This paper cites Julia: A fresh approach to numerical computing.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Julia: A fresh approach to numerical computing

Reference 8

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Observation ca558444-a48d-4fb9-b9df-93ba3b33f253 · outbound

This paper cites Differentialequations.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Differentialequations

Reference 9

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Observation db48d1a6-32d6-46c2-bc6f-849e4f28bc7c · outbound

This paper cites A review and evaluation of numerical tools for fractional calculus and fractional order controls.International journal of control, 90(6):1165–1181, 2017.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia A review and evaluation of numerical tools for fractional calculus and fractional order controls.International journal of control, 90(6):1165–1181, 2017

Reference 10

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Source-reported events for the cited work

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Observation dea03139-0cbf-49d6-8e44-173dfb724504 · outbound

This paper cites Numerical solution of fractional differential equations: A survey and a software tutorial.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Numerical solution of fractional differential equations: A survey and a software tutorial

Reference 11

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Observation 0e045fc3-19d7-4ad3-a7dc-b240c34eff2e · outbound

This paper cites On initial conditions for fractional delay differential equations.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia On initial conditions for fractional delay differential equations

Reference 12

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Observation 2ca80763-7b84-48a8-b07b-112f9387f5b6 · outbound

This paper cites Matrix approach to discrete fractional calculus.Fractional calculus and applied analysis, 3(4):359–386, 2000.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Matrix approach to discrete fractional calculus.Fractional calculus and applied analysis, 3(4):359–386, 2000

Reference 13

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Observation c0f94c10-5061-40e9-aa6f-cff19a729e4e · outbound

This paper cites Elsevier, 1974.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Elsevier, 1974

Reference 14

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Observation c0614f25-f68a-4b43-8114-0daa6a57c483 · outbound

This paper cites alexfikl/pycaputo: v0.8.1, October 2024.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia alexfikl/pycaputo: v0.8.1, October 2024

Reference 15

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Observation 091bceb2-40d4-4cfc-8849-8a6c323de341 · outbound

This paper cites A novel adaptive procedure for solving fractional differential equations.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia A novel adaptive procedure for solving fractional differential equations

Reference 16

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Observation fbdcb48a-ae08-4b58-a188-2696a78bf93e · outbound

This paper cites Fotf toolbox for fractional-order control systems.Applications in control, 6:237–266, 2019.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Fotf toolbox for fractional-order control systems.Applications in control, 6:237–266, 2019

Reference 17

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Observation ca3f2338-76e8-416a-9bae-ac974b3ccc5c · outbound

This paper cites Springer Nature, 2024.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Springer Nature, 2024

Reference 18

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Observation 2d6e6493-0e8a-4be5-ac06-70f6037428a0 · outbound

This paper cites Numerical evaluation of two and three parameter mittag-leffler functions.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Numerical evaluation of two and three parameter mittag-leffler functions

Reference 19

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Observation e7deb120-44f1-4a8d-a47c-b166e6b378bd · outbound

This paper cites elsevier, 1998.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia elsevier, 1998

Reference 20

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Observation f176afe2-d5fa-4adc-9b03-0bec9f679ee8 · outbound

This paper cites Discretized fractional calculus.SIAM Journal on Mathematical Analysis, 17(3):704–719, 1986.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Discretized fractional calculus.SIAM Journal on Mathematical Analysis, 17(3):704–719, 1986

Reference 21

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Observation e5f2b1f4-f509-4e41-afe4-92e7c3f889c1 · outbound

This paper cites Handbook of fractional calculus for engineering and science.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Handbook of fractional calculus for engineering and science

Reference 22

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Observation beac14d9-0c39-49df-9cd0-3a9aaa55ba7a · outbound

This paper cites World Scientific, 2012.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia World Scientific, 2012

Reference 23

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Observation 79629e3e-7e53-4a53-ad80-c2b215a16ee8 · outbound

This paper cites Springer, 1997.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Springer, 1997

Reference 24

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Observation c565707b-c5ab-4af7-9d6f-7dafcb67daa5 · outbound

This paper cites CRC Press, 2015.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia CRC Press, 2015

Reference 25

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation bdfa3d59-12f4-4ceb-8c2b-a869c0ff17b3 · outbound

This paper cites Numerical treatment of differential equations of fractional order.Numerical Analysis Report-University of Manchester Department of Mathematics, 1996.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Numerical treatment of differential equations of fractional order.Numerical Analysis Report-University of Manchester Department of Mathematics, 1996

Reference 26

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation b95def75-918e-42e4-a577-626b1bb62f9e · outbound

This paper cites WORLD SCIENTIFIC, 2nd edition, 2016.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia WORLD SCIENTIFIC, 2nd edition, 2016

Reference 27

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 9f82dc43-d464-4fc8-bc22-d3093f5db549 · outbound

This paper cites Numerical solution of the bagley-torvik equation.BIT numerical mathematics, 42:490–507, 2002.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Numerical solution of the bagley-torvik equation.BIT numerical mathematics, 42:490–507, 2002

Reference 28

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verified exact
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 8348ab75-466c-4617-9065-7f7d9fed3973 · outbound

This paper cites Trapezoidal methods for fractional differential equations: Theoretical and computational aspects.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Trapezoidal methods for fractional differential equations: Theoretical and computational aspects

Reference 29

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 859567c9-dd1e-42b3-af85-7737333138ef · outbound

This paper cites Approximate product-integration.Proceedings of the Royal Society of London.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Approximate product-integration.Proceedings of the Royal Society of London

Reference 30

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 82121d72-db47-41a4-a8bb-d86166eac59d · outbound

This paper cites It is important to note that variations in software versions or hardware configurations may lead to discrepancies in performance outcomes.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia It is important to note that variations in software versions or hardware configurations may lead to discrepancies in performance outcomes

Reference 31

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 21038e89-6268-4b17-b847-1da50eaa044f · outbound

This paper cites A predictor-corrector approach for the numerical solution of fractional differential equations.Nonlinear Dynamics, 29:3–22, 2002.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia A predictor-corrector approach for the numerical solution of fractional differential equations.Nonlinear Dynamics, 29:3–22, 2002

Reference 32

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 0dad20fa-5326-45fe-a452-803842107310 · outbound

This paper cites Fractional-order nonlinear systems: modeling, analysis and simulation.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Fractional-order nonlinear systems: modeling, analysis and simulation

Reference 33

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No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

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Observation 55b0029e-fb98-486c-9d51-a4e1a0f4d4eb · outbound

This paper cites Westerlund and L.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Westerlund and L

Reference 34

Resolution
verified exact
doi, observed 2026-08-07T05:27:22.015814Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:27:21.855409Z digest=sha256:6ac7c0edfcf40acd0fde145986824da27ebb3d8bf40658921bcd504069a42331

Observation d4518f0d-7072-4682-8db0-f65f0657ceb4 · outbound

This paper cites Dead matter has memory!Physica scripta, 43(2):174, 1991.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Dead matter has memory!Physica scripta, 43(2):174, 1991

Reference 35

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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:27:21.858482Z digest=sha256:06a3cc1bc6eacacdfe7847b1308a13d14c4a116706b64438c1d353f294dd4634

Observation 1894e1e3-faa9-48ce-8e74-4ec2966ff84a · outbound

This paper cites Benchmark problems for caputo fractional-order ordinary differential equations.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Benchmark problems for caputo fractional-order ordinary differential equations

Reference 36

Resolution
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doi, observed 2026-08-07T05:27:21.997149Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:27:21.865172Z digest=sha256:2d249ee6da42157ec4dc6c6a10fda1a5ce0c0cd8dea0cf237e87d40fc3640e50

Observation cc346078-27f2-4c81-8051-f30fdda3cb0a · outbound

This paper cites Implicit-explicit difference schemes for nonlinear fractional differential equations with nonsmooth solutions.SIAM Journal on Scientific Computing, 38(5):A3070–A3093, 2016.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Implicit-explicit difference schemes for nonlinear fractional differential equations with nonsmooth solutions.SIAM Journal on Scientific Computing, 38(5):A3070–A3093, 2016

Reference 37

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:27:21.868279Z digest=sha256:17ba2f8840c315980387c57c065456165736f5568ba3c3d1bd7babbaecf25a2b

Observation ce8aa7c3-803e-4933-b6ad-69da649d426b · outbound

This paper cites Benchmarktools.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Benchmarktools

Reference 38

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:27:21.871339Z digest=sha256:23824caa6197af94f599bcaea4c17cea8a3a87e9c600285ffd7940c889094909

Observation 324c90d5-041e-46fe-baca-5e27ed86a645 · outbound

This paper cites A singular integral equation with a generalized mittag leffler function in the kernel.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia A singular integral equation with a generalized mittag leffler function in the kernel

Reference 39

Resolution
verified fuzzy
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:27:21.874357Z digest=sha256:caaf419ea26a17bdb4c6ea4b716e37cf83c8a443ffdb05e375baa0710b1c3eec

Observation 006ec137-23c5-4bae-a078-6314c09213bd · outbound

This paper cites Fractional calculus as a generalized kinetic model for biochemical methane potential tests.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Fractional calculus as a generalized kinetic model for biochemical methane potential tests

Reference 40

Resolution
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Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:27:21.877974Z digest=sha256:f221268586ce4e0d8027260c52058a4abf1fcf397e4e2351e833fed981affdd7

Observation d6ac4233-253a-4038-a927-68979ddb5326 · outbound

This paper cites A brief review of fractional calculus as a tool for applications in physics: Adsorption phenomena and electrical impedance in complex fluids.Fractal and Fractional, 8(7):369, 2024.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia A brief review of fractional calculus as a tool for applications in physics: Adsorption phenomena and electrical impedance in complex fluids.Fractal and Fractional, 8(7):369, 2024

Reference 41

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verified fuzzy
raw_fallback, observed 2026-08-07T05:27:22.332510Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:27:21.881078Z digest=sha256:e30cad647cd5b975e68a79fdae508373a39bd39834605fe49947373f6e11925b

Observation 96dcbcaa-20da-4a1c-bce8-afdd46e254d2 · outbound

This paper cites A fractional calculus approach to the dynamic optimization of biological reactive systems.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia A fractional calculus approach to the dynamic optimization of biological reactive systems

Reference 42

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:27:22.323215Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:27:21.884070Z digest=sha256:aceb1323dc018d82424c6938afe977b384d6a732f1911dbb639c421dfb95223c

Observation a5807aac-8033-498f-b59e-4cfc4a20dfc9 · outbound

This paper cites Growth kinetics of suspended microbial cells: from single-substrate-controlled growth to mixed-substrate kinetics.Microbiology and molecular biology reviews, 62(3):646–666, 1998.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Growth kinetics of suspended microbial cells: from single-substrate-controlled growth to mixed-substrate kinetics.Microbiology and molecular biology reviews, 62(3):646–666, 1998

Reference 43

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:27:22.313416Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:27:21.887215Z digest=sha256:66c2114077d968e30462de27f566fcabb515b4fd986053d349611cb5dc322521

Observation 0562a532-89e3-4dcd-83bf-7eaaedd7e0c5 · outbound

This paper cites Unstructured kinetic model for tequila batch fermentation.Int J Math Comput Simul, 1(1), 2007.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Unstructured kinetic model for tequila batch fermentation.Int J Math Comput Simul, 1(1), 2007

Reference 44

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:27:22.303812Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:27:21.890720Z digest=sha256:92293875ac13a437b3c5cf3cac7813aaeab72292a2fac794db53e6ae822a253e

Observation a342bfc3-0cdf-4588-bfbe-7f8bfcea4985 · outbound

This paper cites Optim: A mathematical optimization package for Julia.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Optim: A mathematical optimization package for Julia

Reference 45

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no resolver link, observed 2026-08-07T05:27:21.893696Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:27:21.893696Z digest=sha256:f0732e4b3ab41e162ade3472543a3a53c2dbbc6b5d6a732bbf835f5e2fdce8bd

Observation 92d63fa9-2132-4839-94ce-04360f36861a · outbound

This paper cites Springer, 1999.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Springer, 1999

Reference 46

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no resolver link, observed 2026-08-07T05:27:21.896552Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:27:21.896552Z digest=sha256:9e2d3143782307f926cb4557c3f034a64fdce91de372c16465dce521c4cd2de4

Observation 5aa5017a-71a5-4f07-8e69-a05ce95fb02c · outbound

This paper cites Juliastats/statsbase.jl: v0.34.4, December.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Juliastats/statsbase.jl: v0.34.4, December

Reference 47

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:27:22.288550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:27:21.899556Z digest=sha256:b5c06a102e216bb7fd0304eb8c3d67a412138977ac00795d23db3471bcace1e7

Observation db5b954d-d0b1-4574-83ce-f9f36d5892ab · outbound

This paper cites Automated translation and accelerated solving of differential equations on multiple gpu platforms.Computer Methods in Applied Mechanics and Engineering, 419:116591, 2024.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Automated translation and accelerated solving of differential equations on multiple gpu platforms.Computer Methods in Applied Mechanics and Engineering, 419:116591, 2024

Reference 48

Resolution
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no resolver link, observed 2026-08-07T05:27:21.930069Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:27:21.930069Z digest=sha256:760c161cecda81381fd37e37dcce02e664e2ea24c651a0bc1c62f45f557ab3dc

Observation f3ecd192-34c7-4734-876a-6d75540f1537 · outbound

This paper cites Stability analysis of multi-term fractional-differential equations with three fractional derivatives.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Stability analysis of multi-term fractional-differential equations with three fractional derivatives

Reference 49

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verified fuzzy
raw_fallback, observed 2026-08-07T05:27:22.279662Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:27:21.905736Z digest=sha256:73640b5664a9eb4cd8512f7a6f94ed8ef77b10cffddce524099718d8e53a4d52

Observation 47198a3e-4e2e-4c0c-83dc-b8356184b490 · outbound

This paper cites ModelingToolkit: A Composable Graph Transformation System For Equation-Based Modeling.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia ModelingToolkit: A Composable Graph Transformation System For Equation-Based Modeling

Reference 50

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Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:27:21.909571Z digest=sha256:8714fcdd53521f5ca6f0f42951793133aaea264675d8daf0baf2af9d873abad0

Observation 055ec1cc-8fd0-4c7f-a34a-5e5a5fee5aa1 · outbound

This paper cites Universal Differential Equations for Scientific Machine Learning.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Universal Differential Equations for Scientific Machine Learning

Reference 51

Resolution
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no resolver link, observed 2026-08-07T05:27:21.913277Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:27:21.913277Z digest=sha256:c3f1205414cf3ad0f5f51d30393e65904fa9188fb03d4b60d6ceb151d98f8bdc

Observation bade74c8-752b-4f96-925b-eee984b6f58a · outbound

This paper cites Shah, Krishna Bhogaonker, Anubhab Haldar, Morten Piibeleht, Francesco Martinuzzi, Kanav Gupta, and Jeffrey Sarnoff.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Shah, Krishna Bhogaonker, Anubhab Haldar, Morten Piibeleht, Francesco Martinuzzi, Kanav Gupta, and Jeffrey Sarnoff

Reference 52

Resolution
verified exact
doi, observed 2026-08-07T05:27:22.268530Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:27:21.916612Z digest=sha256:e4064215c2ee3e09ed4c4fda5aa1adfcd4947ec4d8a544b631bb61056333318b

Observation aaac7ec2-8b8f-49c7-9b59-eb5547873914 · outbound

This paper cites DiffEqFlux.jl - A Julia Library for Neural Differential Equations.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia DiffEqFlux.jl - A Julia Library for Neural Differential Equations

Reference 53

Resolution
unresolved
no resolver link, observed 2026-08-07T05:27:21.919818Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:27:21.919818Z digest=sha256:2ce726e3028302856d9f7f0eeebaf348cebc8bf6d14be53012da40a4ea1befe6

Observation 89267ae5-40f5-4914-9c4b-8290fefe07b5 · outbound

This paper cites NeuralPDE: Automating Physics-Informed Neural Networks (PINNs) with Error Approximations.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia NeuralPDE: Automating Physics-Informed Neural Networks (PINNs) with Error Approximations

Reference 54

Resolution
unresolved
no resolver link, observed 2026-08-07T05:27:21.923391Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:27:21.923391Z digest=sha256:664803809560690ee66c55a375bddc1f65566eae1b208b38eca697ea7e548b4c

Observation bcabd711-27ce-4437-a54a-e454d0e5e73c · outbound

This paper cites NonlinearSolve.jl: High-Performance and Robust Solvers for Systems of Nonlinear Equations in Julia.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia NonlinearSolve.jl: High-Performance and Robust Solvers for Systems of Nonlinear Equations in Julia

Reference 55

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unresolved
no resolver link, observed 2026-08-07T05:27:21.926684Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:27:21.926684Z digest=sha256:5156d0ca0844c0da733a8ba77dff2d20e1e7cdbbfaaacfbd64dd196c85e37281

Observation 2b9c85df-5a8a-4c16-a3da-69176dd0e1d7 · outbound

This paper cites Effective extensible programming: unleashing julia on gpus.IEEE Transactions on Parallel and Distributed Systems, 30(4):827–841, 2018.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Effective extensible programming: unleashing julia on gpus.IEEE Transactions on Parallel and Distributed Systems, 30(4):827–841, 2018

Reference 57

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verified fuzzy
raw_fallback, observed 2026-08-07T05:27:22.259167Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:27:21.933200Z digest=sha256:9004cf6f6d2ff7051b97f098646d4415e5938f9af8ea6f65aa79ce35bbfbe76e

Observation 82bcc9b4-8af8-4d03-ac7c-f88e2d6d64f0 · outbound

This paper cites an unresolved cited work.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia Unresolved cited work

Reference 2024

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verified exact
doi, observed 2026-08-07T05:27:21.971388Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:27:21.902488Z digest=sha256:9baeaee23ae9c787a60a4ab9bee72727814dae065557140d7f2b9950f478a30c

Pith citing papers

Observation 5b15f8ce-6433-498c-9f3e-e56c4cb49e94 · inbound

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia cites this paper.

FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia FractionalDiffEq.jl: High Performance Fractional Differential Equation Solver in Julia

Reference 1

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metadata mismatch
local_arxiv, observed 2026-08-07T05:27:22.249717Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-10T06:31:04.303077+00:00.

source=pdf_text observed=2026-08-07T05:27:21.747351Z digest=sha256:cf44d24d6464947daa1dba71aa0681db5dd7b3da5c62d890a72f307b0e7e2ff0