Hadamard型混合分数微分包含系统的可解性

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

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引用次数: 1

摘要

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

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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来源期刊

Demonstratio Mathematica MATHEMATICS-

CiteScore

2.40

自引率

5.00%

发文量

审稿时长

35 weeks

期刊介绍： Demonstratio Mathematica publishes original and significant research on topics related to functional analysis and approximation theory. Please note that submissions related to other areas of mathematical research will no longer be accepted by the journal. The potential topics include (but are not limited to): -Approximation theory and iteration methods- Fixed point theory and methods of computing fixed points- Functional, ordinary and partial differential equations- Nonsmooth analysis, variational analysis and convex analysis- Optimization theory, variational inequalities and complementarity problems- For more detailed list of the potential topics please refer to Instruction for Authors. The journal considers submissions of different types of articles. "Research Articles" are focused on fundamental theoretical aspects, as well as on significant applications in science, engineering etc. “Rapid Communications” are intended to present information of exceptional novelty and exciting results of significant interest to the readers. “Review articles” and “Commentaries”, which present the existing literature on the specific topic from new perspectives, are welcome as well.