Chebyshev operational matrix method for solving multi-order fractional ordinary differential equations

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Abstract

The aim of this article is to present an analytical approximation solution for linear and nonlinear multi-order fractional differential equations (FDEs) by extending the application of the shifted Chebyshev operational matrix. For this purpose, we convert FDE into a counterpart system and then using proposed method to solve the resultant system. Our results in solving four different linear and nonlinear FDE, confirm the accuracy of proposed method.

Keywords

Fractional differential equation
Chebyshev polynomial
Operational matrix
Caputo derivative

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