CONTROLLABILITY OF NONLOCAL FRACTIONAL SEMILINEAR INTEGRODIFFERENTIAL EQUATION
By using fixed point theorem, we studied the sufficient conditions for controllability of fractional semilinear integrodifferential equation with nonlocal condition in the form;
where X is a Banach space and A is infinitesimal generator of a strongly continuous semigroup of bounded linear operator The control function is given in Banach space of admissible control functions U is a Banach space, B is a bounded linear operator from U into X.
fractional calculus, controllability, fixed point theorem, mild solutio