D. B. Dhaigude, Sandeep P. Bhairat
Published 2017-04-07Version 1
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.
A Gronwall inequality and the Cauchy-type problem by means of $ψ$-Hilfer operator
Existence and continuation of solutions of Hilfer fractional differential equations
Properties of Some $ψ$-Hilfer fractional Integrodifferential equations
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