Journal of Applied and Pure Mathematics

The Korean Society for Computational and Applied Mathematics (한국전산응용수학회)
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FRACTIONAL HYBRID DIFFERENTIAL EQUATIONS WITH P-LAPLACIAN OPERATOR

  • CHOUKRI DERBAZI (Laboratoire Equations Differentielles, Department of Mathematics, Faculty of Exact Sciences, Freres Mentouri University Constantine 1) ;
  • ABDELKRIM SALIM (Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes, Faculty of Technology, Hassiba Benbouali University) ;
  • HADDA HAMMOUCHE (Laboratory of Mathematics And Applied Sciences, University of Ghardaia) ;
  • MOUFFAK BENCHOHRA (Laboratory of Mathematics, Djillali Liabes University of Sidi Bel-Abbes)
  • Received : 2023.10.02
  • Accepted : 2023.12.12
  • Published : 2024.03.30
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Abstract

In this paper, we study the existence of solutions for hybrid fractional differential equations with p-Laplacian operator involving fractional Caputo derivative of arbitrary order. This work can be seen as an extension of earlier research conducted on hybrid differential equations. Notably, the extension encompasses both the fractional aspect and the inclusion of the p-Laplacian operator. We build our analysis on a hybrid fixed point theorem originally established by Dhage. In addition, an example is provided to demonstrate the effectiveness of the main results.

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