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In the current work, fractional differential equations (FDEs) with Sturm-Liouville boundary conditions (BCs) and p–Laplacian operator in terms of the Riesz-Caputo fractional derivatives are considered. With the aid of Schauder’s and Banach’s fixed point theorems, the existence and uniqueness results of the aforesaid problem are established. An explanatory example is set forth to make efficient the obtained results. [ABSTRACT FROM AUTHOR]

This paper concerns the investigation of controllability and Hyers-Ulam stability of initial value problems for fractional differential equations via generalized proportional-Caputo fractional derivatives. The main results are obtained by means of the Krasnoselskii's fixed point theorem. [ABSTRACT FROM AUTHOR]