关于Caputo指数分数阶导数的非线性周期问题

Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2022-11-28 DOI:10.31197/atnaa.1130743

Mohamed Chohri, S. Bouriah, Salim Abdelkrim, M. Benchohra

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摘要

本文利用Mawhin的重合度理论，给出了一类含指数分数阶Caputo导数的非线性隐式分数阶微分方程问题的存在性结果。给出了两个例子来证明我们的结果的适用性。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On Nonlinear Periodic Problems with Caputo's Exponential Fractional Derivative

In this article, we employ Mawhin's theory of degree of coincidence to provide an existence result for a class of problems involving non-linear implicit fractional differential equations with the exponentially fractional derivative of Caputo. Two examples are provided to demonstrate the applicability of our results.

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Advances in the Theory of Nonlinear Analysis and its Application

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