Solvability for a system of Hadamard-type hybrid fractional differential inclusions

IF 2 3区数学 Q1 MATHEMATICS

Demonstratio Mathematica Pub Date : 2023-01-01 DOI:10.1515/dema-2022-0226

Keyu Zhang, Jiafa Xu

引用次数: 1

Abstract

Abstract In this article, a new system of Hadamard-type hybrid fractional differential inclusions equipped with Dirichlet boundary conditions was constructed. By virtue of a fixed-point theorem due to B. C. Dhage, (Existence results for neutral functional differential inclusions in Banach algebras, Nonlinear Anal. 64 (2006), no. 6, 1290–1306, doi: https://doi.org/10.1016/j.na.2005.06.036), the existence results of solutions for the considered problem are derived in a new norm space for multivalued maps. A numerical example is provided to illustrate our main results.

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Hadamard型混合分数微分包含系统的可解性

摘要本文构造了一个新的具有Dirichlet边界条件的Hadamard型混合分数微分包含系统。根据B.C.Dhage的不动点定理，（Banach代数中中性泛函微分包含的存在性结果，非线性分析64（2006），第61290-1306号，doi：https://doi.org/10.1016/j.na.2005.06.036)在一个新的多值映射范数空间中，导出了所考虑问题解的存在性结果。给出了一个数值例子来说明我们的主要结果。

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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来源期刊

Demonstratio Mathematica MATHEMATICS-

CiteScore

2.40

自引率

5.00%

发文量

审稿时长

35 weeks

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