Existence results for the Hadamard fractional diσerential equations and inclusions

Autor:	Shanmugam Muthukumar, Thangaraj Nandha Gopal, Dumitru Baleanu, Akbar Zada, Subramanian Muthaiah
Rok vydání:	2021
Předmět:	History Pure mathematics Hadamard transform Computer Science Applications Education Mathematics
Zdroj:	Journal of Physics: Conference Series. 1850:012122
ISSN:	1742-6596 1742-6588
DOI:	10.1088/1742-6596/1850/1/012122
Popis:	In this paper, concerning non-local multi-point and integral boundary conditions, we investigate the existence and uniqueness of solutions for Hadamard fractional diσerential equations (HFDEs) and inclusions. In the case of equations, we use the Krasnoselskii fixed point theorem for the sum of two operators and Banach fixed point theorem, and Leray-Schauder’s alternative for multivalued maps and the fixed point theorem attributed to Covitz and Nadler for multivalued contractions for inclusions. Examples are given to clarify our main results. Finally, we discuss some variants of the given problem.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::83676bcf3a5b0fb9c87aef85f5e48843 https://doi.org/10.1088/1742-6596/1850/1/012122 Zobrazit plný text záznamu