关于具有ψ-Caputo分数阶导数的非线性分数中立型微分方程

Journal of Mathematics and Applications Pub Date : 1900-01-01 DOI:10.7862/rf.2020.7

T. Nabil

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引用次数: 1

摘要

本文利用Krasnoselskii不动点方法，研究了包含ψ−Caputo分数算子的分数中立型微分方程的可解性。并在一定条件下，建立了解的唯一性。讨论了所提问题的Ulam稳定性。最后通过实例说明了理论结果的适用性。

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 Fractional Neutral Differential Equation with the ψ-Caputo Fractional Derivative

: In this article, the solvability of fractional neutral diﬀerential equation involving ψ − Caputo fractional operator is considered using a Krasnoselskii’s ﬁxed point approach. Also, we establish the uniqueness of the solution under certain conditions. Ulam stabilities for the proposed problem are discussed. Finally, examples are displayed to aid the applica-bility of the theory results.

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Journal of Mathematics and Applications

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