Proves unique recovery of multiple time-independent coefficients in fractional diffusion(-wave) equations from one Neumann boundary measurement on parts of the boundary.
Initial-boundary value problem for distributed order time-fractional diffusion equations
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abstract
We examine initial-boundary value problems for diffusion equations with distributed order time-fractional derivatives. We prove existence and uniqueness results for the weak solution to these systems, together with its continuous dependency on initial value and source term. Moreover, under suitable assumption on the source term, we establish that the solution is analytic in time.
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math.AP 1years
2019 1verdicts
UNVERDICTED 1representative citing papers
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Unique determination of several coefficients in a fractional diffusion(-wave) equation by a single measurement
Proves unique recovery of multiple time-independent coefficients in fractional diffusion(-wave) equations from one Neumann boundary measurement on parts of the boundary.