In the current investigation, the distributed order fractional derivative operational matrix based on the Legendre wavelets (LWs) as the basis functions is derived. This operational matrix is applied together with collocation method for solving distributed order fractional differential equations. Also, convergence analysis of the proposed scheme is given. Finally, numerical examples are presented to show the efficiency and superiority of the mentioned scheme.
Rahimkhani, P., & Ordokhani, Y. (2021). A computational method based on Legendre wavelets for solving distributed order fractional diffrential equations. Journal of Mathematical Modeling, 9(3), 501-516. doi: 10.22124/jmm.2021.18634.1596
MLA
Parisa Rahimkhani; Yadollah Ordokhani. "A computational method based on Legendre wavelets for solving distributed order fractional diffrential equations". Journal of Mathematical Modeling, 9, 3, 2021, 501-516. doi: 10.22124/jmm.2021.18634.1596
HARVARD
Rahimkhani, P., Ordokhani, Y. (2021). 'A computational method based on Legendre wavelets for solving distributed order fractional diffrential equations', Journal of Mathematical Modeling, 9(3), pp. 501-516. doi: 10.22124/jmm.2021.18634.1596
VANCOUVER
Rahimkhani, P., Ordokhani, Y. A computational method based on Legendre wavelets for solving distributed order fractional diffrential equations. Journal of Mathematical Modeling, 2021; 9(3): 501-516. doi: 10.22124/jmm.2021.18634.1596
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