Existence of solutions of BVPs for impulsive fractional Langevin equations involving Caputo fractional derivatives

Authors: YUJI LIU, Ravi Agarwal

Abstract: The standard Caputo fractional derivative is generalized for the piecewise continuous functions. A more general boundary value problem for the impulsive Langevin fractional differential equation involving the Caputo fractional derivatives is studied. New existence results for solutions of concerned problems are established.

Keywords: Impulsive fractional Langevin equation, boundary value problem, integral equation, Caputo fractional derivative

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