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On the qualitative analysis of the boundary value problem of the Ψ-Caputo implicit fractional pantograph differential equation

Year: 2024

Type: article

Abstract: In this manuscript, the primary objective is to analyze a Ψ-Caputo fractional pantograph implicit differential equation using the Ψ-Caputo fractional derivative. We employ a newly developed method based on fixed-point theorems to explore the existence and uniqueness of the solution to our proposed problem. Furthermore, we investigate the stability of the proposed problem. Finally, we provide an example that illustrates the application of our newly obtained results, confirming their practical significance.

Source: Journal of AppliedMath

DOI: 10.59400/jam1977

Authors: Rahman Ullah Khan, Maria Samreen, Gohar Ali, Ioannis Argyros

Institutions: Quaid-i-Azam University, Islamia College University, Cameron University

Language: English

Topic: Nonlinear Differential Equations Analysis

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4406039261

FWCI:

Cites: 30

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Related to: 10