Publication: Existence of Weak Solutions for the Class of Singular Two-Phase Problems with a ?-Hilfer Fractional Operator and Variable Exponents
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Date
2024
Authors
Bouali T.
Guefaifia R.
Jan R.
Boulaaras S.
Radwan T.
Journal Title
Journal ISSN
Volume Title
Publisher
Multidisciplinary Digital Publishing Institute (MDPI)
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 ?-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. ? 2024 by the authors.