Inverse problem with a time‐integral condition for a fractional diffusion equation | Zendy

Lopushanska Halyna | Zendy; Lopushansky Andriy | Zendy

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Inverse problem with a time‐integral condition for a fractional diffusion equation

Author(s) -

Lopushanska Halyna,

Lopushansky Andriy

Publication year - 2019

Publication title -

mathematical methods in the applied sciences

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.719

H-Index - 65

eISSN - 1099-1476

pISSN - 0170-4214

DOI - 10.1002/mma.5587

Subject(s) - mathematics , overdetermination , mathematical analysis , inverse problem , initial value problem , type (biology) , diffusion equation , inverse , fractional calculus , integral equation , diffusion , geometry , ecology , philosophy , physics , economy , epistemology , economics , biology , service (business) , thermodynamics

We find the conditions for the unique solvability of the inverse problem for a time‐fractional diffusion equation with Schwarz‐type distributions in the right‐hand sides. This problem is to find a generalized solution of the Cauchy problem and an unknown space‐dependent part of an equation's right‐hand side under a time‐integral overdetermination condition.

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