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

• Main Authors: Bouali T., Guefaifia R., Jan R., Boulaaras S., Radwan T.
• Other Authors: 56108739200
• Format: Article
• Published: Multidisciplinary Digital Publishing Institute (MDPI) 2025

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...