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May 30, 2024Fractal and FractionalOpen Access

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

Tahar Bouali Rafik Guefaifia Rashid Jan Salah Boulaaras Taha Radwan

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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.

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Cite This Study

Bouali et al. (2024) studied this question.

synapsesocial.com/papers/68e67968b6db643587603f9d https://doi.org/10.3390/fractalfract8060329

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