N Nonlinear Impulsive Hybrid Differential Equations with Linear and Nonlinear Perturbations: A Study Involving the ψ− Caputo Fractional Derivative

Impulsive Hybrid Differential Equations

Auteurs-es

  • Mahacine Malouh Sultan Moulay Slimane University
  • Fatima Ezzahra Bourhim
  • Ali El Mfadel
  • M’hamed Elomari

DOI :

https://doi.org/10.5269/bspm.76255

Résumé

In this work, we prove the existence and uniqueness of solutions to a system of impulsive coupled nonlinear hybrid fractional differential equations that involve the $\psi$-Caputo fractional derivative, with both linear and nonlinear perturbations. The results are established using the nonlinear alternative of Leray-Schauder type and Banach's fixed-point theorem.

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Publié

2025-09-24

Numéro

Rubrique

Research Articles

Comment citer

Malouh, M., Bourhim, . F. E. ., Mfadel, A. E. ., & Elomari, M. . (2025). N Nonlinear Impulsive Hybrid Differential Equations with Linear and Nonlinear Perturbations: A Study Involving the ψ− Caputo Fractional Derivative: Impulsive Hybrid Differential Equations. Boletim Da Sociedade Paranaense De Matemática, 43, 1-13. https://doi.org/10.5269/bspm.76255