具有里兹-卡普托导数的混合边界值问题耦合系统的解法

IF 2 3区数学 Q1 MATHEMATICS Demonstratio Mathematica Pub Date : 2024-01-01 DOI:10.1515/dema-2023-0125

Dehong Ji, Shiqiu Fu, Yitao Yang

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引用次数: 0

摘要

Riesz-Caputo 分数导数是指同时反映过去和未来记忆效应的分数导数。本研究给出了涉及 Riesz-Caputo 分数导数的分数阶混合微分方程耦合系统解存在的充分条件。对于这一动机，结果是通过 Dhage 的经典结果获得的。

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Solutions of a coupled system of hybrid boundary value problems with Riesz-Caputo derivative

Riesz-Caputo fractional derivative refers to a fractional derivative that reflects both the past and the future memory effects. This study gives sufficient conditions for the existence of solutions for a coupled system of fractional order hybrid differential equations involving the Riesz-Caputo fractional derivative. For this motive, the results are obtained via classical results due to Dhage.

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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.