Banach空间中具有非局部条件的半线性$\psi-$ caputo型分数阶演化方程温和解的存在性

Q1 Mathematics

Results in Nonlinear Analysis Pub Date : 2022-12-30 DOI:10.53006/rna.1121916

Ali El Mfadel, Fatima Ezzahra Bourhi̇m, M. Elomari

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引用次数: 1

摘要

本文的主要核心是在Banach空间中，在非局部条件下，建立一类双线性$\psi-$Caputo型分数演化方程的温和解的存在性。证明基于不动点定理、紧致半群和$\psi-$分式分析的一些基本概念。作为应用，给出了一个不平凡的例子来说明我们的理论结果。

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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Existence of mild solutions for semilinear $\psi-$Caputo-type fractional evolution equations with nonlocal conditions in Banach spaces

The main crux of this manuscript is to establish the existence of mild solutions for a class of semilinear $\psi-$Caputo-type fractional evolution equations in Banach spaces with non-local conditions. The proofs are based on some fixed point theorems, compact semigroup and some basic concepts of $\psi-$fractional analysis. As application, a nontrivial example is given to illustrate our theoretical results.

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来源期刊

Results in Nonlinear Analysis Mathematics-Mathematics (miscellaneous)

CiteScore

1.60

自引率

0.00%

发文量

审稿时长

8 weeks