Boundary Value Problem for Nonlinear Implicit Generalized Hilfer-Type Fractional Differential Equations with Impulses | Zendy

Abdelkrim Salım | Zendy; Mouffak Benchohra | Zendy; Jamal Eddine Lazreg | Zendy; Gaston M. N’Guérékata | Zendy

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

Author(s) -

Abdelkrim Salım,

Mouffak Benchohra,

Jamal Eddine Lazreg,

Gaston M. N’Guérékata

Publication year - 2021

Publication title -

abstract and applied analysis

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.228

H-Index - 56

eISSN - 1687-0409

pISSN - 1085-3375

DOI - 10.1155/2021/5592010

Subject(s) - mathematics , uniqueness , contraction principle , nonlinear system , fixed point theorem , mathematical analysis , boundary value problem , fractional calculus , banach space , type (biology) , class (philosophy) , physics , quantum mechanics , artificial intelligence , computer science , ecology , biology

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.

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