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Anew class of implicit Hadamard fractional differential equations with Riemann-Stieltjes integral boundary conditions is studied in this research paper. The existence and uniqueness results of the aforesaid problem are investigated using Schauder's fixed point theorem and Banach's contraction mapping principle. A simulative example is given to highlight the acquired outcomes. [ABSTRACT FROM AUTHOR]

The existence, uniqueness and the Hyers-Ulam stability of solutions for nonlinear p–Laplacian implicit Caputo-Katugampola fractional differential equations (FDEs) with multi-point generalized fractional integral boundary conditions are established. With the aid of the Leray-Schauder nonlinear alternative and the Banach contraction principle, the desired results are obtained. An example is set forth to make efficient the main results. [ABSTRACT FROM AUTHOR]