on some fractional-order equations of evolution

In this thesis we study, under certain conditions, the existence of a unique solution of the nonhomogeneous fractional order evolution equationthe nonhomogeneous fractional order evolutionary integral equationand the nonhomogeneous fractional order evolutionary integro-differential equationwhere is a closed linear operator with dense domain in the Banach space . Also we prove the continuation properties of the solution and its fractional derivative . Finally we prove the maximal regularity property of the solution and give some examples.