Existence and continuation of solutions of Hilfer fractional differential equations

D. B. Dhaigude, Sandeep P. Bhairat

Published 2017-04-08Version 1

In this paper we study the existence and continuation of solution to general fractional differential equation with Hilfer fractional derivative. First we establish new local existence theorems. Then we derive the continuation theorems. With the help of continuation theorems derived in this paper, several global existence results are constructed.