A numerical technique for variable-order fractional functional nonlinear dynamic systems

Abstract

This paper provides an efficient technique to discretize the variable-order fractional functional nonlinear differential equations. The proposed technique is based on a piecewise integro quadratic spline interpolation and finite difference approximation. To reveal the performance and accuracy of the proposed method, the behavioral responses of the suitcase with two wheels and pantograph models with variable-order fractional order are analyzed.