Existence and Ulam stability results for nonlinear hybrid implicit Caputo fractional differential equations

Autor:	Lachouri Adel, Ardjouni Abdelouaheb, Djoudi Ahcene
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	implicit fractional differential equations caputo fractional derivatives fixed point theorems existence uniqueness ulam stability Mathematics QA1-939
Zdroj:	Mathematica Moravica, Vol 24, Iss 1, Pp 109-122 (2020)
Druh dokumentu:	article
ISSN:	1450-5932 2560-5542
Popis:	In this paper, we study the existence, uniqueness and estimate of solutions for nonlinear hybrid implicit Caputo fractional differential equations by using the contraction mapping principle and the generalization of Gronwall's inequality. After that, we also establish the Ulam stability for the problem at hand. Finally, an example is given to illustrate this work.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/a9da4a5229c446108d24dd8fa4221c13 Zobrazit plný text záznamu View record in DOAJ