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A new definition of conformable fractional derivative on arbitrary time scales
2019
Advances in Difference Equations
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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.
doi:10.1186/s13662-019-2294-y
fatcat:ddcixny3yvacjanprdtqp3hvnm