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arXiv · 1704.02174

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

D. B. Dhaigude·Sandeep P. Bhairat
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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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D. B. Dhaigude, Sandeep P. Bhairat. 2017-04-07. Existence and uniqueness of solution of Cauchy-type problem for Hilfer fractional differential equations. https://arxiv.org/abs/1704.02174

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