Article

A two‐dimensional diffusion coefficient determination problem for the time‐fractional equation

D. K. DurdievAskar RahmonovDepartment of Mathematics Bukhara State University Bukhara UzbekistanZavqiddin Bozorov

Mathematical Methods in the Applied Sciencesjournal2021en

ABI

Abstract

In this paper, we consider two‐dimensional inverse problem for a fractional diffusion equation. The inverse problem is reduced to the equivalent integral equation. For solving this equation, the contracted mapping principle is applied. The local existence and global uniqueness results are proven. Also, the stability estimate is obtained.

Topics

Fractional Differential Equations Solutions Numerical methods in inverse problems Nonlinear Differential Equations Analysis

Identifiers

DOI: 10.1002/mma.7442

Citations and references

Cited by 39 17 references

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