University of Guilan Journal of Mathematical Modeling 2345-394X 7 1 2019 03 01 Existence and continuation of solutions of Hilfer fractional differential equations 1 20 3048 10.22124/jmm.2018.9220.1136 EN Sandeep P. Bhairat Department of mathematics, Institute of Chemical Technology, Mumbai--400 019 (M.S.), India Journal Article 2017 12 07 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. Fractional differential equations local existence continuation theorem global solutions https://jmm.guilan.ac.ir/article_3048_5abfe4f6dc0a6ad18e139b42b6c1c26c.pdf