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 |
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Format: | article |
Langue: | EN |
Publié: |
SpringerOpen
2021
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Sujets: | |
Accès en ligne: | https://doaj.org/article/ebc9aad3852f4596abb545f36831bd3a |
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