Existence of Weak Solutions for the Class of Singular Two-Phase Problems with a ψ-Hilfer Fractional Operator and Variable Exponents-Reference-Cited by-同舟云学术

Existence of Weak Solutions for the Class of Singular Two-Phase Problems with a ψ-Hilfer Fractional Operator and Variable Exponents

Published:2024-05-30 Issue:6 Volume:8 Page:329
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Bouali Tahar¹,Guefaifia Rafik²,Jan Rashid³⁴^ORCID,Boulaaras Salah²^ORCID,Radwan Taha⁵⁶^ORCID

Affiliation:

1. Laboratory of Mathematics, Informatics and Systems (LAMIS), Echahid Cheikh Larbi Tebessi University, Tebessa 12002, Algeria

2. Department of Mathematics, College of Science, Qassim University, Buraydah 52571, Saudi Arabia

3. Institute of Energy Infrastructure (IEI), Department of Civil Engineering, College of Engineering, Universiti Tenaga Nasional (UNITEN), Putrajaya Campus, Jalan IKRAM-UNITEN, Kajang 43000, Selangor, Malaysia

4. Mathematics Research Center, Near East University TRNC, Mersin 10, Nicosia 99138, Turkey

5. Department of Management Information Systems, College of Business and Economics, Qassim University, Buraydah 51452, Saudi Arabia

6. Department of Mathematics and Statistics, Faculty of Management Technology and Information Systems, Port Said University, Port Said 42511, Egypt

Abstract

In this paper, we prove the existence of at least two weak solutions to a class of singular two-phase problems with variable exponents involving a ψ-Hilfer fractional operator and Dirichlet-type boundary conditions when the term source is dependent on one parameter. Here, we use the fiber method and the Nehari manifold to prove our results.

Funder

Deanship of Graduate Studies and Scientific Research at Qassim University

Publisher

MDPI AG

Link

https://www.mdpi.com/2504-3110/8/6/329/pdf

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