Multiplicity of couple solution for a fractional $$(\varphi , \psi )$$ -like system

IF 2.5 2区数学 Q1 MATHEMATICS

Fractional Calculus and Applied Analysis Pub Date : 2025-04-29 DOI:10.1007/s13540-025-00412-6

Abderrahmane Lakhdari, Chaima Nefzi

引用次数: 0

Abstract

This paper delves into the existence of three weak solutions for a fractional $(\varphi , \psi )$-like system involving the fractional $\varphi $ Laplacian and the fractional $\psi $ Laplacian respectively within the fractional Orlicz-Sobolev space. The proof is achieved by the well-known Bonanno-Marano techniques.

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分数阶$$(\varphi , \psi )$$类系统耦合解的多重性

研究了一类分数阶类$(\varphi , \psi )$系统在分数阶Orlicz-Sobolev空间中三个弱解的存在性，分别涉及分数阶$\varphi $拉普拉斯算子和分数阶$\psi $拉普拉斯算子。证明是由著名的博南诺-马拉诺技术实现的。

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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来源期刊

Fractional Calculus and Applied Analysis MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

4.70

自引率

16.70%

发文量

101

期刊介绍： Fractional Calculus and Applied Analysis (FCAA, abbreviated in the World databases as Fract. Calc. Appl. Anal. or FRACT CALC APPL ANAL) is a specialized international journal for theory and applications of an important branch of Mathematical Analysis (Calculus) where differentiations and integrations can be of arbitrary non-integer order. The high standards of its contents are guaranteed by the prominent members of Editorial Board and the expertise of invited external reviewers, and proven by the recently achieved high values of impact factor (JIF) and impact rang (SJR), launching the journal to top places of the ranking lists of Thomson Reuters and Scopus.