Multiplicity of solutions for perturbed nonlinear fractional p-Laplacian boundary value systems related with two control parameters-Reference-Cited by-同舟云学术

Multiplicity of solutions for perturbed nonlinear fractional p-Laplacian boundary value systems related with two control parameters

Published:2021 Issue:8 Volume:35 Page:2827-2848
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Zuo Jiabin¹,Guefaifia Rafik²,Kamache Fares²,Boulaaras Salah³

Affiliation:

1. School of Mathematics and Information Science, Guangzhou University, Guangzhou, China

2. Department of Mathematics and Computer Science, Larbi Tebessi University, Tebessa, Algeria

3. Department of Mathematics, College of Science and Arts, ArRass, Qassim University, Saudi Arabia + Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran, Ahmed Benbella, Algeria

Abstract

This paper deals with the study of a class of perturbed nonlinear fractional p-Laplacian differential systems, where by using the variational method, two control parameters together with recent three critical points theorem by Bonanno and Candito for differentiable functionals for perturbed systems, the existence of three weak solutions has been proved.

Publisher

National Library of Serbia

Subject

General Mathematics

Cited by 3 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Novel exact solutions of the conformable resonant Schrödinger equation via two novel procedures with symbolic computational algorithms;International Journal of Modern Physics B;2023-02-15

2. Existence and uniqueness of a mild solution for a class of the fractional evolution equation with nonlocal condition involving φ-Riemann Liouville fractional derivative;Filomat;2023

3. Solutions for a nonhomogeneous p&q-Laplacian problem via variational methods and sub-supersolution technique;Opuscula Mathematica;2023