Note on the solution of random differential equations via ψ-Hilfer fractional derivative
Autor: | Kamal Shah, S. Harikrishnan, Dumitru Baleanu, Kuppusamy Kanagarajan |
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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 |
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