Results for double phase problem with fractional differential equations

IF 3.4 2区数学 Q1 MATHEMATICS, APPLIED

Communications in Nonlinear Science and Numerical Simulation Pub Date : 2024-10-16 DOI:10.1016/j.cnsns.2024.108393

J. Vanterler da C. Sousa , Lamine Mbarki , H. Jafari

引用次数: 0

Abstract

In this manuscript, our main focus is present on the existence and multiplicity results concerning a new set of fractional differential equations with double phase problem in the

ψ

-fractional space,

S_{H}^{α, β; ψ} (Ω)

. We also, we discuss a property for the double phase operator

K_{ψ}^{α, β} (\cdot)

and make some comments on the results obtained by the parameters

α, β

and the function

ψ (\cdot)

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分数微分方程双相问题的结果

在本手稿中，我们主要关注在ψ-分数空间 SHα,β;ψ(Ω)中一组新的分数微分方程与双相问题的存在性和多重性结果。我们还讨论了双相算子 Kψα,β(⋅)的一个性质，并对参数 α,β 和函数 ψ(⋅) 得到的结果做了一些评论。

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

Communications in Nonlinear Science and Numerical Simulation MATHEMATICS, APPLIED-MATHEMATICS, INTERDISCIPLINARY APPLICATIONS

CiteScore

6.80

自引率

7.70%

发文量

378

审稿时长

78 days

期刊介绍： The journal publishes original research findings on experimental observation, mathematical modeling, theoretical analysis and numerical simulation, for more accurate description, better prediction or novel application, of nonlinear phenomena in science and engineering. It offers a venue for researchers to make rapid exchange of ideas and techniques in nonlinear science and complexity. The submission of manuscripts with cross-disciplinary approaches in nonlinear science and complexity is particularly encouraged. Topics of interest: Nonlinear differential or delay equations, Lie group analysis and asymptotic methods, Discontinuous systems, Fractals, Fractional calculus and dynamics, Nonlinear effects in quantum mechanics, Nonlinear stochastic processes, Experimental nonlinear science, Time-series and signal analysis, Computational methods and simulations in nonlinear science and engineering, Control of dynamical systems, Synchronization, Lyapunov analysis, High-dimensional chaos and turbulence, Chaos in Hamiltonian systems, Integrable systems and solitons, Collective behavior in many-body systems, Biological physics and networks, Nonlinear mechanical systems, Complex systems and complexity. No length limitation for contributions is set, but only concisely written manuscripts are published. Brief papers are published on the basis of Rapid Communications. Discussions of previously published papers are welcome.