On conformable fractional calulus

Abstract

Recently, the authors Khalil, R., Al Horani, M., Yousef. A. and Sababheh, M., in " A new Denition Of Fractional Derivative, J. Comput. Appl. Math. 264. pp. 6570, 2014. " introduced a new simple well-behaved definition of the fractional derivative called conformable fractional derivative. In this article we proceed on to develop the definitions there and set the basic concepts in this new simple interesting fractional calculus. The fractional versions of chain rule, exponential functions, Gronwall's inequality, integration by parts, Taylor power series expansions, Laplace transforms and linear differential systems are proposed and discussed.

Cited by in corpus (3)

• A Conformable Fractional Calculus on Arbitrary Time Scales
• Existence of Solution to a Local Fractional Nonlinear Differential Equation
• A Truly Conformable Calculus on Time Scales