Applications of new contraction mappings on existence and uniqueness results for implicit ϕ-Hilfer fractional pantograph differential equations

Applications of new contraction mappings on existence and uniqueness results for implicit ϕ-Hilfer fractional pantograph differential equations

Abstract In this paper, we consider initial value problems for two different classes of implicit ϕ-Hilfer fractional pantograph differential equations. We use different approach that is based on α − ψ $\alpha -\psi $ -contraction mappings to demonstrate the existence and uniqueness of solutions for...

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Bibliographic Details
Main Authors: Hojjat Afshari, H. R. Marasi, Jehad Alzabut
Format: Article
Language:English
Published: SpringerOpen 2021-11-01
Series:Journal of Inequalities and Applications
Subjects:
α − ψ $\alpha -\psi $ -Contraction mapping
ϕ-Hilfer fractional derivative
Fractional differential equation
Pantograph differential equation
Online Access:https://doi.org/10.1186/s13660-021-02711-x

Internet

https://doi.org/10.1186/s13660-021-02711-x

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