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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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On some generalized integral inequalities for Hadamard fractional integrals

2018·Mohamed HOUAS

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

In this paper, we use the Hadamard fractional integral operator to establish some new weighted integral inequalities involving a family of n; (n ≥ 1) positive functions.

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On Some Fractional Integral Inequalities Involving Generalized Riemann-Liouville Fractional Integral Operator

2016·Houas Mohamed, Bezziou Mohamed

Mediterranean Journal of Modeling and Simulation·Cilt 2016/2, Sayı 1

In this paper, the generalized Riemann-Liouville fractional integral operator is used to generate some new fractional integral inequalities. By using the generalized Riemann-Liouville fractional integral operator, we also generate new classes of fractional integral inequalities using a family of n, …

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