探索阶（3<\hat{u}\leq 4\）分式微分方程特定类别的解决方案

IF 1.7 4区数学 Q1 Mathematics

Boundary Value Problems Pub Date : 2024-06-05 DOI:10.1186/s13661-024-01878-8

Saleh Fahad Aljurbua

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引用次数: 0

摘要

本文的重点是利用定点定理探索一类特殊的 FDE 的解的存在性。该方程具有阶数为 $3<\hat{u} \leq 4$ 的卡普托分数导数，并包含一个与边界条件同时存在的项 $\Theta (\beta,\mathscr{Z}(\beta ))$ 。通过在适当的函数空间中应用定点定理，我们考虑了非局部条件和必要假设，在这些条件下，给定 FDE 的解是存在的。此外，我们还提供了一个例子来说明结果。

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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Exploring solutions to specific class of fractional differential equations of order $3<\hat{u}\leq 4$

This paper focuses on exploring the existence of solutions for a specific class of FDEs by leveraging fixed point theorem. The equation in question features the Caputo fractional derivative of order $3<\hat{u} \leq 4$ and includes a term $\Theta (\beta,\mathscr{Z}(\beta ))$ alongside boundary conditions. Through the application of a fixed point theorem in appropriate function spaces, we consider nonlocal conditions along with necessary assumptions under which solutions to the given FDE exist. Furthermore, we offer an example to illustrate the results.

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来源期刊

Boundary Value Problems MATHEMATICS, APPLIED-MATHEMATICS

CiteScore

3.00

自引率

5.90%

发文量

审稿时长

4 months

期刊介绍： The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.