MULTIPLE SOLUTIONS FOR A FRACTIONAL DOUBLE PHASE PROBLEM WITH p(t)-LAPLACE OPERATOR

Abdeljabbar Ghanmi; Sameh Turki

doi:10.3934/mfc.2025027

MULTIPLE SOLUTIONS FOR A FRACTIONAL DOUBLE PHASE PROBLEM WITH p(t)-LAPLACE OPERATOR

Abdeljabbar Ghanmi^*
, Sameh Turki

^*Corresponding author for this work

Department of Basic Sciences

University of Jeddah
Université de Tunis El Manar

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this work, we investigate a double-phase problem involving Riemann-Liouville derivative and a p(t)-Laplacian operator. More precisely, we will use a variational method with the critical theorem of Bonanno and Marano to prove the existence of at least three nontrivial solutions for such a problem. An illustrative example is presented at the end of this work to enhance the validity of our main results.

Original language	English
Pages (from-to)	125-137
Number of pages	13
Journal	Mathematical Foundations of Computing
Volume	10
DOIs	https://doi.org/10.3934/mfc.2025027
State	Published - Jan 2026

Keywords

boundary value problem
existence of solutions
fractional derivatives
Variational method

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10.3934/mfc.2025027

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abstract = "In this work, we investigate a double-phase problem involving Riemann-Liouville derivative and a p(t)-Laplacian operator. More precisely, we will use a variational method with the critical theorem of Bonanno and Marano to prove the existence of at least three nontrivial solutions for such a problem. An illustrative example is presented at the end of this work to enhance the validity of our main results.",

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AB - In this work, we investigate a double-phase problem involving Riemann-Liouville derivative and a p(t)-Laplacian operator. More precisely, we will use a variational method with the critical theorem of Bonanno and Marano to prove the existence of at least three nontrivial solutions for such a problem. An illustrative example is presented at the end of this work to enhance the validity of our main results.

KW - boundary value problem

KW - existence of solutions

KW - fractional derivatives

KW - Variational method

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ER -

MULTIPLE SOLUTIONS FOR A FRACTIONAL DOUBLE PHASE PROBLEM WITH p(t)-LAPLACE OPERATOR

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Keywords

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