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Paper Citation Record · LEDGER

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

As of 15 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

This paper cites an unresolved cited work.

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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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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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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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 2026-08-15T06:32:42.880941+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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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 2026-08-15T06:32:42.880941+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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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+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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No event found in the named queried sources as of 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+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 2026-08-15T06:32:42.880941+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

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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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:27:21.855409Z digest=sha256:e11de0476acaceb9aaee960e723a5b83799387c28d1be15c2d54d58d5016ad69

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

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T05:27:22.370420Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:27:21.858482Z digest=sha256:052279033d89a1dc03f78ebd9168195785e817745b19d82110d777015f455f23

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
verified exact
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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:27:21.865172Z digest=sha256:dfeb043c65629d6c67824528c1e22d7d56bab84ff4cc08291701e837ff3a0499

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
verified exact
doi, observed 2026-08-07T05:27:21.987677Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:27:21.868279Z digest=sha256:3994b4d1d5310e33418289022d92bd60dfbc5fc3cae338a2b05e52d396e04bae

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
raw_fallback, observed 2026-08-07T05:27:22.361619Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:27:21.871339Z digest=sha256:2f6ca0fe9303788b70ed2971a9452248569732afbac406d2ef4f679c027a54e5

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
raw_fallback, observed 2026-08-07T05:27:22.352158Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:27:21.874357Z digest=sha256:f4c9007abf2038ba9214dbae66c801b04bb3b34e3a1a629c0827e8ad6f7c75fd

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
verified fuzzy
raw_fallback, observed 2026-08-07T05:27:22.342117Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:27:21.877974Z digest=sha256:baf01d46bf0471df485c9ff0e365a9c6881877c3c20934bce89d63599cb9126e

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

Resolution
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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:27:21.881078Z digest=sha256:cd538b9d6e668a73277fa37af39fb22b53dc29ffec5f6c24d5ff1830107ebc38

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:27:21.884070Z digest=sha256:25d93d845c73f22de2290eb18c52c64e901bfaf9c437eec3bf40a94726e5787c

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:27:21.887215Z digest=sha256:5579d943c74015f4578537227c3a4ebcd8b59b93eda3ba3ce7941ced537bf577

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:27:21.890720Z digest=sha256:8f9f582ce7f79b2f0d9be23a6b6685b7ba5f2b7f4206803e4d3b3a6d9400e63c

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

Resolution
unresolved
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=sha256:5bc008c61ed141e223bd420b45c9ddeb3903f9625d264b670152cedbf9cdb502

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

Resolution
unresolved
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:e35ead8de2ff0180de7c5535bfa70a395de1f34b6462a5ed762e7b455a9b9df7

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:27:21.899556Z digest=sha256:02263649a26d852c023c6839c759b10cf0050ca129ff5e00ee1b0b13e78e8610

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
unresolved
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:a8c05befbec8fc87a421419eb9377d47938996ea2c7a9ea43cdcb91079aaedcd

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

Resolution
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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:27:21.905736Z digest=sha256:1d698008cf3c243cc4878f24bb6187d6d7f94d78634ef84fb542212dd801d7ee

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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unresolved
no resolver link, observed 2026-08-07T05:27:21.909571Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T05:27:21.909571Z digest=sha256:4c2487ecd1aac39dcd3abf5f2fc5130fab1eb2454e4d6b7eb94858cb0e2ba260

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
unresolved
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:bccf51103d068c38a67d802d1d141940d4f0c1dcaf7dca03441e3ab3e0590977

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:27:21.916612Z digest=sha256:c75465e98435f8804615493fef21630bb9f020877b9c6b0d7a550d1267809807

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:a93feca94e07f7768eca942e1dcd0fb97b87ef7397c43129f867d46d577d2846

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:a86033424b67b6b988e1c122f765d0172de0521be4f3d943b623771711dc13f7

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

Resolution
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:a33365b1c4ab9da08fe8abba61015067cde06923bdb94a93af594069f653d4a4

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:27:21.933200Z digest=sha256:a4a80a19b2f8407e7cd0761375777a000c8c11824c360c519f7851946bf4f1c1

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:27:21.902488Z digest=sha256:8284384674311c4596a85956903deaed7f82974270c4795bf717e9af83257b03

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 2026-08-15T06:32:42.880941+00:00.

source=pdf_text observed=2026-08-07T05:27:21.747351Z digest=sha256:9ea7dd30dfd925e2802f222cad302fe3ad3f931d7ee4f5b8158a20c614246133