On Existence of Sequences of Weak Solutions of Fractional Systems with Lipschitz Nonlinearity-Reference-Cited by-同舟云学术

On Existence of Sequences of Weak Solutions of Fractional Systems with Lipschitz Nonlinearity

Published:2021-03-11 Issue: Volume:2021 Page:1-12
ISSN:2314-8888
Container-title:Journal of Function Spaces
language:en
Short-container-title:Journal of Function Spaces

Author:

Guefaifia Rafik¹,Boulaaras Salah Mahmoud²³^ORCID,El-Sayed Adel Abd Elaziz⁴⁵,Abdalla Mohamed⁶⁷,Cherif Bahri-Belkacem²⁸^ORCID

Affiliation:

1. Laboratory of Mathematics, Informatics and System (LAMIS), Larbi Tebessi University, Tebessa, Algeria

2. Department of Mathematics, College of Sciences and Arts, ArRass, Qassim University, Saudi Arabia

3. Laboratory of Fundamental and Applied Mathematics of Oran (LMFAO), University of Oran 1, Oran 31000, Algeria

4. Department of Mathematics, University of Technology and Applied Sciences, AlRustaq, Sultanate of Oman, Rustaq 329, Oman

5. Department of Mathematics, Faculty of Science, Fayoum University, Fayoum 63514, Egypt

6. Mathematics Department, College of Science, King Khalid University, Abha 61413, Saudi Arabia

7. Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt

8. Preparatory Institute for Engineering Studies in Sfax, Tunisia

Abstract

In this article, the variational method together with two control parameters is used for introducing the proof for the existence of infinitely many solutions for a new class of perturbed nonlinear system having

p

-Laplacian fractional-order differentiation.

Funder

King Khalid University

Publisher

Hindawi Limited

Subject

Analysis

Link

http://downloads.hindawi.com/journals/jfs/2021/5510387.pdf

Reference39 articles.

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4. Weighted extrapolation in grand Morrey spaces and applications to partial differential equations

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