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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| Main Authors: | , , |
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| Format: | article |
| Language: | EN |
| Published: |
SpringerOpen
2021
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| Subjects: | |
| Online Access: | https://doaj.org/article/ebc9aad3852f4596abb545f36831bd3a |
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