Synchronization between a Class of Variable-Order Fractional Hyperjerk Chaotic Systems.

Variable-order fractional derivatives can be considered as a natural and analytical extension of constant fractional-order derivatives. In variable-order derivatives, the order can vary continuously as a function of either dependent or independent variables of differentiation, such as time, space, or even independent external variables. The main contribution of this paper is the use of fractional orders that vary in time for a new class of chaotic systems. This paper also studies the synchronization between a new class of Grunwald-Letnikov's definition of fractional derivative is implemented to solve variable-order fractional problems. the results and focusing on synchronization, it can be observed that the error converges asymptotically to zero. numerical results.