Approximate controllability of second-order nonlocal impulsive partial functional integro-differential evolution systems in Banach spaces

Mahalingam Nagaraj, Selvaraj Suganya, Dumitru Baleanu, Mani Mallika Arjunan

Abstract


This manuscript is involved with a class of second-order impulsive partial functional integro-differential evolution equations with nonlocal conditions in Banach spaces.  Sufficient conditions ensuring the  existence and approximate controllability of mild solutions are established. Theory of cosine family, Banach contraction principle and Leray-Schauder nonlinear alternative fixed point theorem are  employed for achieving the required results. An example is analyzed  to illustrate the effectiveness of the outcome.

Refbacks

  • There are currently no refbacks.