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具有非局部边界条件和变系数的非线性积分-微分方程的唯一性

Uniqueness of a nonlinear integro-differential equation with nonlocal boundary condition and variable coefficients.

作者信息

Li Chenkuan

机构信息

Department of Mathematics and Computer Science, Brandon University, Brandon, Manitoba R7A 6A9 Canada.

出版信息

Bound Value Probl. 2023;2023(1):26. doi: 10.1186/s13661-023-01713-6. Epub 2023 Mar 15.

Abstract

This paper studies the uniqueness of solutions to a two-term nonlinear fractional integro-differential equation with nonlocal boundary condition and variable coefficients based on the Mittag-Leffler function, Babenko's approach, and Banach's contractive principle. An example is also provided to illustrate the applications of our theorem.

摘要

本文基于米塔格-莱夫勒函数、巴本科方法和巴拿赫压缩原理,研究了一类具有非局部边界条件和变系数的二阶非线性分数阶积分-微分方程解的唯一性。此外,还给出了一个例子来说明我们定理的应用。

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