Existence and stability results to a class of fractional random implicit differential equations involving a generalized hilfer fractional derivative
No Thumbnail Available
Date
2020
Journal Title
Journal ISSN
Volume Title
Publisher
Amer inst Mathematical Sciences-aims
Open Access Color
OpenAIRE Downloads
OpenAIRE Views
Abstract
In this paper, the existence, uniqueness and stability of random implicit fractional differential equations (RIFDs) with nonlocal condition and impulsive effect involving a generalized Hilfer fractional derivative (HFD) are discussed. The arguments are discussed via Krasnoselskii's fixed point theorems, Schaefer's fixed point theorems, Banach contraction principle and Ulam type stability. Some examples are included to ensure the abstract results.
Description
Shah, Kamal/0000-0002-8851-4844
ORCID
Keywords
Random Implicit Differential Equations, Generalized Hilfer Fractional Derivative, Existence, Uniqueness And Stability
Turkish CoHE Thesis Center URL
Fields of Science
Citation
Jarad, Fahd...et al. (2020). "Existence and stability results to a class of fractional random implicit differential equations involving a generalized hilfer fractional derivative", Discrete and Continuous Dynamical Systems - Series S, Vol. 13, No. 3, pp. 723-739.
WoS Q
Q2
Scopus Q
Q2
Source
Volume
13
Issue
3
Start Page
723
End Page
739