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On a Caputo conformable inclusion problem with mixed Riemann–Liouville conformable integro-derivative conditions

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2020

Authors

Baleanu, Dumitru
Etemad, Sina
Rezapour, Shahram

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Abstract

We discuss some existence criteria for a new category of the Caputo conformable differential inclusion furnished with four-point mixed Riemann–Liouville conformable integro-derivative boundary conditions. In this way, we employ some analytical techniques on α-ψ-contractive mappings and operators having the approximate endpoint property to reach desired theoretical results. Finally, we provide an example to illustrate our last main result. © 2020, The Author(s).

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Approximate Endpoint Property, Mixed Integro-Derivative Conditions, The Caputo Conformable Derivative, Α-Ψ-Contractive Mappings

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Citation

Baleanu, Dumitru; Etemad, Sina; Rezapour, Shahram (2020). "On a Caputo conformable inclusion problem with mixed Riemann–Liouville conformable integro-derivative conditions", Advances in Difference Equations, Vol. 2020, No. 1.

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Advances in Difference Equations

Volume

2020

Issue

1

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