具有非局部混合条件的混合微分方程的一种新的顺序比例分数阶导数

Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2022-12-20 DOI:10.31197/atnaa.1122002

Hamid Beddani, Beddani Moustafa

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摘要

本文利用比例分数阶导数研究了一类具有非局部积分多点边界条件的混合微分方程解的存在性。利用混合不动点定理得到了三种哈格算子的结果。通过实例说明了理论结论的应用。

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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A new sequential proportional fractional derivative of hybrid differential equations with nonlocal hybrid condition

In this paper, we study the existence of solutions for a new problem of hybrid differential equations with nonlocal integro multi point boundary conditions by using the proportional fractional derivative. The presented results are obtained by using hybrid fixed point theorems for three Dhage operators. The application of theoretical conclusions is demonstrated through an example.

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Advances in the Theory of Nonlinear Analysis and its Application

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