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

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.

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.

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, (n ≥ 1) positive functions.