A new conformable fractional derivative and applications
Keywords:Fractional derivatives, Fractional calculus
The motivation for this paper comes from other 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, mean value theorem and Taylor series. Usage of the
defined derivative is given in the example section which shows how our derivative can be used in solving
differential equations. Comparison of our derivative with the derivative defined by Abdejjawad and overall
conclusions are given in the conclusion section.
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