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

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

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

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