Note on the solution of random differential equations via ψ-Hilfer fractional derivative

Autor:	Kamal Shah, S. Harikrishnan, Dumitru Baleanu, Kuppusamy Kanagarajan
Jazyk:	angličtina
Rok vydání:	2018
Předmět:	Differential equation Type (model theory) 01 natural sciences Schauder fixed point theorem Uniqueness 0101 mathematics Nonlinear Sciences::Pattern Formation and Solitons ψ-Hilfer fractional derivative Mathematics Existence theory Mathematics::Functional Analysis Algebra and Number Theory Partial differential equation Mathematics::Operator Algebras Applied Mathematics lcsh:Mathematics 010102 general mathematics Mathematical analysis Stability analysis lcsh:QA1-939 Fractional calculus Nonlinear Sciences::Chaotic Dynamics 010101 applied mathematics Random differential equations Ordinary differential equation Contraction principle Analysis
Zdroj:	Advances in Difference Equations, Vol 2018, Iss 1, Pp 1-9 (2018)
ISSN:	1687-1847
Popis:	This manuscript is devoted to an investigation of the existence, uniqueness and stability of random differential equations with ψ-Hilfer fractional derivative. The concerned investigation of existence and uniqueness is obtained via the Schauder fixed point theorem and Banach contraction principle, respectively. Furthermore, for the respective solutions, some results related to different kinds of Ulam type stability including Hyers–Ulam, and generalized Hyers–Ulam, Hyers–Ulam–Rassias are obtained.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::dc2ee3fed771d01ecabf6cfcf5779cbd http://link.springer.com/article/10.1186/s13662-018-1678-8 Zobrazit plný text záznamu Plný text ve formátu PDF Plný text ve formátu HTML
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