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arXiv · 1510.04176

On Multiplicative Fractional Calculus

Thabet Abdeljawad
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Abstract

We set the main concepts for multiplicative fractional calculus. We define Caputo, Riemann and Letnikov multiplicative fractional derivatives and multiplicative fractional integrals and study some of their properties. Finally, the multiplicative analogue of the local conformable fractional derivative and integral is studied.

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Thabet Abdeljawad. 2015-10-06. On Multiplicative Fractional Calculus. https://arxiv.org/abs/1510.04176

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