UNSPECIFIED (2024) A novel approach on the sequential type ψ-Hilfer pantograph fractional differential equation with boundary conditions. A novel approach on the sequential type ψ-Hilfer pantograph fractional differential equation with boundary conditions. pp. 1-16. (Submitted)

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Abstract

This article investigates sufficient conditions for the existence and uniqueness of
solutions to the ψ-Hilfer sequential type pantograph fractional boundary value
problem. Considering the system depends on a lower-order fractional derivative of an
unknown function, the study is carried out in a special working space. Standard fixed
point theorems such as the Banach contraction principle and Krasnosel’skii’s fixed
point theorem are applied to prove the uniqueness and the existence of a solution,
respectively. Finally, an example demonstrating our results with numerical simulations
is presented.

Item Type: Article
Uncontrolled Keywords: Pantograph fractional differential equation; ψ-Hilfer fractional derivative; Fixed point theory; Existence and uniqueness
Divisions: PSG College of Arts and Science > Department of Mathematics
Depositing User: Mr Team Mosys
Date Deposited: 19 Sep 2024 12:15
Last Modified: 23 Sep 2024 09:11
URI: https://ir.psgcas.ac.in/id/eprint/2268

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