- Universal Journal of Mathematics and Applications
- Vol: 1 Issue: 4
- Numerical Solution of Multi-Order Fractional Differential Equations Using Generalized Sine-Cosine Wa...
Numerical Solution of Multi-Order Fractional Differential Equations Using Generalized Sine-Cosine Wavelets
Authors : Somayeh Nemati, Anas Al-haboobi
Pages : 215-225
Doi:10.32323/ujma.427381
View : 7 | Download : 5
Publication Date : 2018-12-20
Article Type : Research
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