Approximate controllability of noninstantaneous impulsive Hilfer fractional integrodifferential equations with fractional Brownian motion

Autor:	Hamdy M. Ahmed, Mahmoud M. El-Borai, A. S. Okb El Bab, M. Elsaid Ramadan
Jazyk:	angličtina
Rok vydání:	2020
Předmět:	Hilfer fractional neutral stochastic differential equations Nonlocal conditions Approximate controllability Fractional Brownian motion Noninstantaneous impulsive Sadovskii fixed point theorem Analysis QA299.6-433
Zdroj:	Boundary Value Problems, Vol 2020, Iss 1, Pp 1-25 (2020)
Druh dokumentu:	article
ISSN:	1687-2770
DOI:	10.1186/s13661-020-01418-0
Popis:	Abstract We introduce the investigation of approximate controllability for a new class of nonlocal and noninstantaneous impulsive Hilfer fractional neutral stochastic integrodifferential equations with fractional Brownian motion. An appropriate set of sufficient conditions is derived for the considered system to be approximately controllable. For the main results, we use fractional calculus, stochastic analysis, fractional power of operators and Sadovskii’s fixed point theorem. At the end, an example is also given to show the applicability of our obtained theory.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/00861a92d92e4e8a9f235b8eed7065d2 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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