Article

Determination of a Coefficient and Kernel in a Two-dimensional Fractional Integrodifferential Equation

Askar RahmonovRomanovsky Institute of Mathematics of Uzbekistan Academy of Sciences, Tashkent, UzbekistanD. AkramovaDepartment of Mathematical Analysis, Bukhara State University, Bukhara, UzbekistanH. B. ElmuradovaDepartment of Differential Equations, Bukhara State University, Bukhara, UzbekistanFeruz TogaevNavoi State Mining and Technology University, Navoi, Uzbekistan

Lobachevskii Journal of Mathematicsjournal2024en

ABI

Abstract

This paper is devoted to obtaining a unique solution to an inverse problem for a two-dimensional time-fractional integrodifferential equation. In the case under additional data, we consider an inverse problem. The unknown coefficient and kernel are determined uniquely by the additional data. The existence and uniqueness result is based on the Fourier method, fractional calculus, properties of Mittag-Lefller function, and Banach fixed point theorem.

Topics

Fractional Differential Equations Solutions Numerical methods in inverse problems Iterative Methods for Nonlinear Equations

Identifiers

DOI: 10.1134/s1995080224600183

Citations and references

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