Existence and uniqueness of solution of Cauchy-type problem for Hilfer fractional differential equations

Published 7 Apr 2017 in math.CA | (1704.02174v1)

Abstract: The Cauchy-type problem for a nonlinear differential equation involving Hilfer fractional derivative is considered. We prove existence, uniqueness and continuous dependence of a solution for Cauchy-type problem using successive approximations and generalized Gronwall inequality.

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