Impulsive Functional Differential Equations Fractional Order Differential Equation Left-Sided Mixed Riemann-Liouville Integral Caputo Fractional-Order Derivative State-Dependent Delay Fixed Point
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Fractional Calculus and Applied Analysis, Vol. 13, No 3, (2010), 225p-244p
This paper deals with the existence and uniqueness of solutions of two classes of partial impulsive hyperbolic differential equations with fixed time impulses and state-dependent delay involving the Caputo fractional derivative. Our results are obtained upon suitable fixed point theorems.