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Boundary Value Problem for Nonlinear Implicit Generalized Hilfer‐Type Fractional Differential Equations with Impulses

Author

Listed:
  • Abdelkrim Salim
  • Mouffak Benchohra
  • Jamal Eddine Lazreg
  • Gaston N’Guérékata

Abstract

This article deals with some existence, uniqueness, and Ulam‐Hyers‐Rassias stability results for a class of boundary value problem for nonlinear implicit fractional differential equations with impulses and generalized Hilfer Fractional derivative. The results are obtained using the Banach contraction principle and Krasnoselskii’s and Schaefer’s fixed‐point theorems.

Suggested Citation

  • Abdelkrim Salim & Mouffak Benchohra & Jamal Eddine Lazreg & Gaston N’Guérékata, 2021. "Boundary Value Problem for Nonlinear Implicit Generalized Hilfer‐Type Fractional Differential Equations with Impulses," Abstract and Applied Analysis, John Wiley & Sons, vol. 2021(1).
    • Handle: RePEc:wly:jnlaaa:v:2021:y:2021:i:1:n:5592010
    DOI: 10.1155/2021/5592010
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    References listed on IDEAS

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    1. Bashir Ahmad & Ahmed Alsaedi & Sotiris K. Ntouyas & Jessada Tariboon, 2017. "Hadamard-Type Fractional Differential Equations, Inclusions and Inequalities," Springer Books, Springer, number 978-3-319-52141-1, March.
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    Cited by:

    1. Ricardo Almeida, 2025. "A Unified Approach to Implicit Fractional Differential Equations with Anti-Periodic Boundary Conditions," Mathematics, MDPI, vol. 13(17), pages 1-20, September.

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