[PDF][PDF] A note on some recent results of the conformable fractional derivative

OT Birgani, S Chandok, N Dedovic… - Advances in the Theory …, 2019 - dergipark.org.tr
Advances in the Theory of Nonlinear Analysis and its Application, 2019dergipark.org.tr
In this note, we discuss, improve and complement some recent results of the conformable
fractional derivative introduced and established by Katugampola [arxiv: 1410.6535 v1] and
Khalil et al.[J. Comput. Appl. Math. 264 (2014) 65-70]. Among other things we show that
each function $ f $ defined on $(a, b) $, $ a> 0$ has a conformable fractional derivative
(CFD) if and only if it has a classical first derivative. At the end of the paper, we prove the
Rolle's, Cauchy, Lagrange's and Darboux's theorem in the context of Conformable …
In this note, we discuss, improve and complement some recent results of the  conformable fractional derivative introduced and established by Katugampola [arxiv:1410.6535v1] and Khalil et al. [J. Comput. Appl. Math. 264(2014)  65-70]. Among other things we show that each function defined on , has a conformable fractional derivative (CFD) if and only if it has  a classical first derivative. At the end of the paper, we prove the Rolle's,  Cauchy, Lagrange's and Darboux's theorem in the context of Conformable  Fractional Derivatives.
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