A New Conformable Fractional Derivative and Applications

Ahmed Kajouni, Ahmed Chafiki, Khalid Hilal and Mohamed Oukessou

International Journal of Differential Equations, 2021, vol. 2021, 1-5

Abstract:

This paper is motivated by some papers treating the fractional derivatives. We introduce a new definition of fractional derivative which obeys classical properties including linearity, product rule, quotient rule, power rule, chain rule, Rolle’s theorem, and the mean value theorem. The definition for all , and . If , this definition coincides to the classical definition of the first order of the function .

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnijde:6245435

DOI: 10.1155/2021/6245435

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