Existence results for hybrid fractional differential equations with three-point boundary conditions

Abdelkader Amara; Abdelkader Amara

doi:10.3934/math.2020075

AIMS Mathematics

2020, Volume 5, Issue 2: 1074-1088. doi: 10.3934/math.2020075

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Research article

Existence results for hybrid fractional differential equations with three-point boundary conditions

Abdelkader Amara ^,

Laboratory of Applied Mathematics, University of Kasdi Merbah, Ouargla 30000, Algeria

Received: 26 September 2019 Accepted: 27 December 2019 Published: 10 January 2020
MSC : 34A08, 34A12, 34B15

We investigate the existence and uniqueness of solutions of problems of three point boundary values of hybrid fractional differential equations with a fractional derivative of Caputo of order α ∈ [1, 2], the results are obtained drawing on the standard fixed point theorems. The results are illustrated by a some examples.
- fractional differential equations,
- boundary value problems,
- hybrid,
- existence results,
- fixed point theorem
Citation: Abdelkader Amara. Existence results for hybrid fractional differential equations with three-point boundary conditions[J]. AIMS Mathematics, 2020, 5(2): 1074-1088. doi: 10.3934/math.2020075

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Abstract

We investigate the existence and uniqueness of solutions of problems of three point boundary values of hybrid fractional differential equations with a fractional derivative of Caputo of order α ∈ [1, 2], the results are obtained drawing on the standard fixed point theorems. The results are illustrated by a some examples.

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