Existence and uniqueness results for a nonlinear singular fractional differential equation of order $ \sigma\in(1, 2) $
Keyword(s):
<abstract><p>The first 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 singularity at zero of its independent argument. Hereafter, by using some tools of Lebesgue spaces such as Hölder inequality, we obtain Nagumo-type, Krasnoselskii-Krein-type and Osgood-type uniqueness theorems for the problem.</p></abstract>
2019 ◽
Vol 34
(01)
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pp. 2050015
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Keyword(s):
2012 ◽
Vol 2012
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pp. 1-16
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2013 ◽
Vol 16
(3)
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2015 ◽
Vol 2015
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pp. 1-9
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