Article

A 2D inverse problem for a fractional-wave equation

Askar RahmonovV.I.Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, 9, University str., Tashkent 100174, UzbekistanD. K. DurdievV.I.Romanovskiy Institute of Mathematics, Uzbekistan Academy of Sciences, 9, University str., Tashkent 100174, UzbekistanD. AkramovaBukhara State University, 11, M.Ikbol str., Bukhara 200114, Uzbekistan

AIP conference proceedingsjournal2024en

ABI

Abstract

In this paper, we consider two dimensional inverse problem for a fractional-wave equation with variable coefficient. 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

Numerical methods in inverse problems Numerical methods in engineering Fractional Differential Equations Solutions

Identifiers

DOI: 10.1063/5.0199843

Citations and references

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