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.

中文翻译：

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二维分数阶微分方程系数和核的确定

摘要

本文致力于获得二维时间分数阶积分微分方程反问题的唯一解。在附加数据的情况下，我们考虑逆问题。未知系数和核由附加数据唯一确定。存在唯一性结果基于傅里叶方法、分数阶微积分、Mittag-Lefller 函数的性质和 Banach 不动点定理。