Analysis of Generalized Nonlinear Quadrature for Novel Fractional-Order
Chaotic Systems Using Sinc Shape Function
- Mokhtar Mohamed

Mokhtar Mohamed

Delta University for Science and Technology
Corresponding Author:mokhtar_husein@yahoo.com
Author ProfileAbstract
This work provides the generalized fractional differential quadrature
method, which is focused on the generalized Caputo kind and has been
utilized for the first time for solving nonlinear fractional equations.
The cardinal sine shape function is one of the effective shape functions
of this method that is used in conjunction with the fractional operator
of the generalized Caputo kind to convert nonlinear fractional equations
into a nonlinear algebraic system. The nonlinearity problem is then
solved using an iterative approach. Numerical simulations for a variety
of chaotic systems are introduced using the MATLAB program and compared
with previous theoretical and numerical results to ensure their
reliability, convergence, accuracy, and efficiency. As a result,
numerical simulations show that the cardinal sine shape function
outperforms other techniques in terms of accuracy, convergence, and
reliability. We confidently predict that the presented generalized
fractional differential quadrature method and algorithm will be used to
express and simulate many chaotic systems and generalized Caputo-type
fractional problems in the future.