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Abstract Nonlinear Boundary Implicit Caputo--Exponential Type Fractional Differential Equations
In this paper, we establish sufficient conditions for the existence of solutions and Ulam-Hyers-Rasias stability for a class of boundary value problem for implicit fractional differential equations with Caputo--Exponential fractional derivative in Banach space. The arguments are based upon the Darbo's theorem fixed point and M\"{o}nch's fixed point theorem together with the measure of noncompactness. An example is included to show the applicability of our results.
