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Minimax Theory and its Applications 08 (2023), No. 2, 423--441
Copyright Heldermann Verlag 2023

Generalized Telegraph Equation with Fractional p(x)-Laplacian

José Vanterler da C. Sousa
Aerospace Engineering, PPGEA-UEMA, Dept. of Mathematics, DEMATI-UEMA, São Luís, Brazil

Mbarki Lamine
Dept. of Mathematics, Faculty of Sciences Tunis, University of Tunis el Manar, Tunisia

Leandro S. Tavares
Center of Sciences and Technology, Federal University of Cariri, Juazeiro do Norte/CE, Brazil}

The purpose of this paper is devoted to discussing the existence of solutions for a generalized fractional telegraph equation involving a class of ψ-Hilfer fractional with p(x)-Laplacian differential equation.

Keywords: Psi-Hilfer fractional derivative, p(x)-Laplacian,generalized telegraph equation.

MSC: 35R11, 35A15, 47J30,35J60.

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