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

Authors :
Bouali, Tahar
Guefaifia, Rafik
Jan, Rashid
Boulaaras, Salah
Radwan, Taha
Source :
Fractal & Fractional; Jun2024, Vol. 8 Issue 6, p329, 18p
Publication Year :
2024

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. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
25043110
Volume :
8
Issue :
6
Database :
Complementary Index
Journal :
Fractal & Fractional
Publication Type :
Academic Journal
Accession number :
178193435
Full Text :
https://doi.org/10.3390/fractalfract8060329