Banach空间中具有Dirichlet边界条件的非线性序列Caputo和Caputo- hadamard分数阶微分方程

IF 1 Q1 MATHEMATICS Kragujevac Journal of Mathematics Pub Date : 2022-12-01 DOI:10.46793/kgjmat2206.841d

C. Derbazi

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引用次数: 1

摘要

研究了Banach空间中一类具有Dirichlet边界条件的非线性序列Caputo和Caputo- hadamard分数阶微分方程解的存在性。此外，我们的分析是基于Darbo的不动点定理，并结合非紧性的Hausdorff测度技术。最后通过算例说明了主要结果的有效性。

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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Nonlinear Sequential Caputo and Caputo-Hadamard Fractional Differential Equations with Dirichlet Boundary Conditions in Banach Spaces

This paper is devoted to the existence of solutions for certain classes of nonlinear sequential Caputo and Caputo-Hadamard fractional differential equations with Dirichlet boundary conditions in Banach spaces. Moreover, our analysis is based on Darbo’s fixed point theorem in conjunction with the technique of Hausdorff measure of noncompactness. An example is also presented to illustrate the effectiveness of the main results.

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