具有p-Laplacian算子的ψ-Hilfer分数积分边值问题解的唯一性

IF 2 3区数学 Q1 MATHEMATICS

Demonstratio Mathematica Pub Date : 2023-01-01 DOI:10.1515/dema-2022-0195

A. Alsaedi, M. Alghanmi, B. Ahmad, Boshra Alharbi

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引用次数: 3

摘要

摘要本文讨论了非局部ψ \psi -Riemann-Liouville分数阶积分边界条件下包含p p - laplace算子的ψ \psi -Hilfer分数阶微分方程的唯一解的存在性。巴拿赫不动点定理是我们研究的主要工具。给出了实例来说明所得结果。

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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Uniqueness of solutions for a ψ-Hilfer fractional integral boundary value problem with the p-Laplacian operator

Abstract In this article, we discuss the existence of a unique solution to a ψ \psi -Hilfer fractional differential equation involving the p p -Laplacian operator subject to nonlocal ψ \psi -Riemann-Liouville fractional integral boundary conditions. Banach’s fixed point theorem is the main tool of our study. Examples are given for illustrating the obtained 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.