Abstract
In order to solve problems posed while using the concept of fractional variable order derivative, we introduce in this work a novel fractional variable order derivative. Our derivative has no singular kernel, this allows it to well-describe the effect of memory. We present the relationship between the new derivative with the well-known integral transforms. We present exact solution of some basic associated differential equations. We presented the numerical approximation of the derivative for first and second order approximation. (C) 2016 All rights reserved.