Existence and continuation of solutions of Hilfer fractional differential equations

In the present paper we consider initial value problems for Hilfer fractional differential equations and for system of Hilfer fractional differential equations. By using equivalent integral equations and some fixed point theorems, we study the local existence of solutions. We extend these local existence results globally with the help of continuation theorems and generalized Gronwall inequality.

کلیدواژه ها:

Fractional differential equations ، local existence ، continuation theorem ، global solutions