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

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

Abstract 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 pri...

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Bibliographic Details
Main Authors: S. Harikrishnan, Kamal Shah, Dumitru Baleanu, K. Kanagarajan
Format: Article
Language:English
Published: SpringerOpen 2018-06-01
Series:Advances in Difference Equations
Subjects:
Random differential equations
ψ-Hilfer fractional derivative
Existence theory
Stability analysis
Online Access:http://link.springer.com/article/10.1186/s13662-018-1678-8
Description
Summary:Abstract 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.
ISSN:1687-1847

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