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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Auteurs principaux: Hojjat Afshari, H. R. Marasi, Jehad Alzabut
Format: article
Langue:EN
Publié: SpringerOpen 2021
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Accès en ligne:https://doaj.org/article/ebc9aad3852f4596abb545f36831bd3a
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