On Nonlinear Ψ-Caputo Fractional Integro Differential Equations Involving Non-Instantaneous Conditions

Autor:	Ramasamy Arul, Panjayan Karthikeyan, Kulandhaivel Karthikeyan, Palanisamy Geetha, Ymnah Alruwaily, Lamya Almaghamsi, El-sayed El-hady
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	fractional differential equations Caputo fractional derivative fractional boundary conditions existence and uniqueness Mathematics QA1-939
Zdroj:	Symmetry, Vol 15, Iss 1, p 5 (2022)
Druh dokumentu:	article
ISSN:	2073-8994
DOI:	10.3390/sym15010005
Popis:	We propose a solution to the symmetric nonlinear Ψ-Caputo fractional integro differential equations involving non-instantaneous impulsive boundary conditions. We investigate the existence and uniqueness of the solution for the proposed problem. Banach contraction theorem is employed to prove the uniqueness results, while Krasnoselkii’s fixed point technique is used to prove the existence results. Additionally, an example is used to explain the results. In this manner, our results represent generalized versions of some recent interesting contributions.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/6353ca3ee82e46d3b8004246113eb298 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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