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Existence of solutions for hybrid Caputo fractional q- differential equations

2019·Mohamed HOUAS, Mihoub BOUDERBALA, Abdelkader BENALI

Mediterranean Journal of Modeling and Simulation·Cilt 2019/1, Sayı 1

This paper studies the existence of solutions for Caputo fractional hybrid q-di¤erential equations. The existence obtained by using the Leray-Schauder's alternative, while the uniqueness of solutions is established by means of Banach's contraction mapping principle. An illustrative examples are also …

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Existence results for a coupled system of fractional di¤erential equations with multi-point boundary value problems

2018·Houas Mohamed

Mediterranean Journal of Modeling and Simulation·Cilt 2018/2, Sayı 1

In this paper, we study existence and uniqueness of solutions for a coupled system of multi-point boundary value problems for fractional di¤erential equations. Applying principle contraction and Shaefer's fixed point theorem new existence results are obtained

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