Fractional-order evolutionary integral equations

摘要

The topic of fractional calculus (derivatives and integrals of arbitrary orders) is enjoying growing interest not only among mathematicians, but also among physicists and engineers. Also the evolutionary integral equations have many applications in applied mathematics. In this work we are concerned with a class of evolutionary integral equations of arbitrary (fractional) orders. The existence, uniqueness and some other properties of the solutions will be proved, also the continuation of the problems will be established.