Existence and stability results to a class of fractional random implicit differential equations involving a generalized hilfer fractional derivative
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Date
2020
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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. © 2020 American Institute of Mathematical Sciences. All rights reserved.
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Keywords
Existence, Generalized Hilfer Fractional Derivative, Random Implicit Differential Equations, Stability, Uniqueness
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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.
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Discrete and Continuous Dynamical Systems - Series S
Volume
13
Issue
3
Start Page
723
End Page
739