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

Authors : Yuji Liu, Ravi Agarwal

Pages : 2451-2472

View : 16 | Download : 7

Publication Date : 9999-12-31

Article Type : Makaleler

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