Numerical Solution of Multi-Order Fractional Differential Equations Using Generalized Sine-Cosine Wavelets

Authors : Somayeh NEMATİ, Anas ALHABOOBİ

Pages : 215-225

Doi:10.32323/ujma.427381

View : 17 | Download : 16

Publication Date : 2018-12-20

Article Type : Research Paper

Abstract :In this work, we propose a numerical method based on the generalized sine-cosine wavelets for solving multi-order fractional differential equations. After introducing generalized sine-cosine wavelets, the operational matrix of Riemann-Liouville fractional integration is constructed using the properties of the block-pulse functions. The fractional derivative in the problem is considered in the Caputo sense. This method reduces the considered problem to the problem of solving a system of nonlinear algebraic equations. Finally, some examples are included to demonstrate the applicability of the new approach.
Keywords : Generalized sine cosine wavelet, Operational matrix of fractional integration, Multi order fractional differential equations, Block pulse functions, Operational matrix of fractional integration