A computational method based on Legendre wavelets for solving distributed order fractional diffrential equations

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.

Keywords:

Legendre wavelets , distributed order fractional diffrential equations , numerical method , operational matrix