A new definition of conformable fractional derivative on arbitrary time scales

被引：0
作者：
Mohamad Rafi Segi Rahmat
机构：
[1] The University of Nottingham Malaysia,School of Applied Mathematics
来源：
Advances in Difference Equations | / 2019卷
关键词：
Conformable derivatives; Conformable calculus; Delta derivatives; Time scale calculus; Fractional calculus;
D O I：
暂无
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摘要：
In this paper, a new kind of conformable fractional derivative on arbitrary time scales is introduced. The basic conformable derivative rules are proved. We introduce a new definition of exponential functions, and their potential uses in the definition of conformable integrations are explored. Linear first-order conformable differential equations with constant coefficients are investigated, as well as the conformable analogue of Gronwall’s inequality.
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