Existence Solution and Controllability of Sobolev Type Delay Nonlinear Fractional Integro-Differential System

Autor:	Hamdy M. Ahmed, Mahmoud M. El-Borai, Hassan M. El-Owaidy, Ahmed S. Ghanem
Jazyk:	angličtina
Rok vydání:	2019
Předmět:	Sobolev type delay nonlinear impulsive fractional integro-differential equations resolvent operator approximate controllability null controllability Mathematics QA1-939
Zdroj:	Mathematics, Vol 7, Iss 1, p 79 (2019)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math7010079
Popis:	Fractional integro-differential equations arise in the mathematical modeling of various physical phenomena like heat conduction in materials with memory, diffusion processes, etc. In this manuscript, we prove the existence of mild solution for Sobolev type nonlinear impulsive delay integro-differential system with fractional order 1 < q < 2. We establish the sufficient conditions for the approximate controllability of Sobolev type nonlinear impulsive delay integro-differential system with fractional order 1 < q < 2. In addition, we prove the exact null controllability of Sobolev type nonlinear impulsive delay integro-differential system with fractional order 1 < q < 2. Finally, an example is given to illustrate the obtained results.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/c83d19df6e6c4c34b697a7a0f7c70e93 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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