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arXiv · 2007.10128

Existence and Uniqueness Results for a nonlinear fractional differential equations of order $\sigma\in(1,2)$

S. S. Bilgici·M. Şan
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Abstract

The main objective of this article is to discuss the local existence of the solution to an initial value problem involving a non-linear differential equation in the sense of Riemann-Liouville fractional derivative of order $\sigma\in(1,2),$ when the nonlinear term has a discontinuity at zero. Hereafter, by using some tools of Lebesgue spaces such as H\"older inequality, we obtain Nagumo-type, Krasnoselskii-Krein-type and Osgood-type uniqueness theorems for the problem.

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S. S. Bilgici, M. Şan. 2020-07-15. Existence and Uniqueness Results for a nonlinear fractional differential equations of order $\sigma\in(1,2)$. https://arxiv.org/abs/2007.10128

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