|
|
 |
| |
|
|
|
Some New Results on the New Conformable Fractional Calculus with Application Using D’Alambert Approach |
|
|
|
PP: 115-121 |
|
|
|
doi:10.18576/pfda/020204
|
|
|
|
Author(s) |
|
|
|
Olaniyi S. Iyiola,
Eze R. Nwaeze,
|
|
|
|
Abstract |
|
|
| In this paper, we propose and prove some new results on the recently proposed conformable fractional derivatives and
fractional integral, [Khalil, R., et al., A new definition of fractional derivative, J. Comput. Appl. Math. 264, (2014)]. The simple nature
of this definition allows for many extensions of some classical theorems in calculus for which the applications are indispensable in
the fractional differential models that the existing definitions do not permit. The extended mean value theorem and the Racetrack
type principle are proven for the class of functions which are a-differentiable in the context of conformable fractional derivatives and
fractional integral. We also apply the D’Alambert approach to the conformable fractional differential equation of the form: Ta Ta y+
pTa y+qy = 0, where p and q are a−differentiable functions as application. |
|
|
|
|
|
|
|
