Preprint

A 2D diffusion coefficient determination problem for the time-fractional equation

Askar RahmonovBukhara State UniversityD. K. DurdievBukhara Branch of the Institute of Mathematics at the Academy of Sciences of the Republic of Uzbekistan, Bukhara, UzbekistanZavqiddin BozorovBukhara State University

2020en

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

Nonlinear Differential Equations Analysis Fractional Differential Equations Solutions Differential Equations and Boundary Problems

Identifiers

DOI: 10.22541/au.160916886.64925851/v1

Citations and references

Cited by 00 references

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