包含收敛级数的Caputo和Riemann Liouville导数的序列微分问题

Advances in the Theory of Nonlinear Analysis and its Application Pub Date : 2023-03-30 DOI:10.31197/atnaa.1224234

Mahdi Rakah

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摘要

本文研究了一类新的具有非局部积分条件的非线性序列微分问题，该问题涉及收敛级数。该问题涉及两个分数阶算子:Riemann-Liouville积分、Caputo和Riemann-Liouville导数。我们证明了一个存在唯一性结果。并证明了一个新的存在性结果。我们以一些说明性的例子来结束论文。

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 Sequential Differential Problem With Caputo and Riemann Liouville Derivatives Involving Convergent Series

In this paper, we study a new nonlinear sequential differential prob- lem with nonlocal integral conditions that involve convergent series. The problem involves two fractional order operators: Riemann-Liouville inte- gral, Caputo and Riemann-Liouville derivatives. We prove an existence and uniqueness result. Also, we prove a new existence result. We end our paper by presenting some illustrative examples.

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Advances in the Theory of Nonlinear Analysis and its Application

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