Existence and uniqueness results for Φ-Caputo implicit fractional pantograph differential equation with generalized anti-periodic boundary condition

Autor:	Idris Ahmed, Poom Kumam, Thabet Abdeljawad, Fahd Jarad, Piyachat Borisut, Musa Ahmed Demba, Wiyada Kumam
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Pantograph differential equation Φ-Caputo fractional derivative Anti-periodic condition Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-19 (2020)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-020-03008-x
Popis:	Abstract The present paper describes the implicit fractional pantograph differential equation in the context of generalized fractional derivative and anti-periodic conditions. We formulated the Green’s function of the proposed problems. With the aid of a Green’s function, we obtain an analogous integral equation of the proposed problems and demonstrate the existence and uniqueness of solutions using the techniques of the Schaefer and Banach fixed point theorems. Besides, some special cases that show the proposed problems extend the current ones in the literature are presented. Finally, two examples were given as an application to illustrate the results obtained.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/8fc6ed76529143daaf7ee1358472e24f Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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