Stability of solutions for generalized fractional differential problems by applying significant inequality estimates

Autor:	Mohammed D. Kassim, Thabet Abdeljawad, Saeed M. Ali, Mohammed S. Abdo
Jazyk:	angličtina
Rok vydání:	2021
Předmět:	Asymptotic behavior Boundedness Generalized fractional derivative Fractional differential equation Mathematics QA1-939
Zdroj:	Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-20 (2021)
Druh dokumentu:	article
ISSN:	1687-1847
DOI:	10.1186/s13662-021-03533-3
Popis:	Abstract In this research paper, we intend to study the stability of solutions of some nonlinear initial value fractional differential problems. These equations are studied within the generalized fractional derivative of various orders. In order to study the solutions’ decay to zero as a power function, we establish sufficient conditions on the nonlinear terms. To this end, some versions of inequalities are combined and generalized via the so-called Bihari inequality. Moreover, we employ some properties of the generalized fractional derivative and appropriate regularization techniques. Finally, the paper involves examples to affirm the validity of the results.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/8b023e5ccb744e87bf0902d1ea026ab3 Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
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