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