α-Confluent-hyper-geometric stability of ξ-Hilfer impulsive nonlinear fractional Volterra integro-differential equation

Autor: Mohammad Bagher Ghaemi, Fatemeh Mottaghi, Reza Saadati
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Boundary Value Problems, Vol 2023, Iss 1, Pp 1-12 (2023)
Druh dokumentu: article
ISSN: 1687-2770
DOI: 10.1186/s13661-023-01694-6
Popis: Abstract The purpose of this work is to investigate the necessary conditions for the existence and uniqueness of solutions, and to introduce a new idea of α-confluent-hyper-geometric stability of an impulsive fractional differential equation with ξ-Hilfer fractional derivative. We use the Diaz–Margolis fixed point theorem to achieve this and illustrate the result with an example.
Databáze: Directory of Open Access Journals
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