University of Guilan Journal of Mathematical Modeling 2345-394X 9 3 2021 09 01 A computational method based on Legendre wavelets for solving distributed order fractional diffrential equations 501 516 4612 10.22124/jmm.2021.18634.1596 EN Parisa Rahimkhani Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran Yadollah Ordokhani Department of Mathematics, Faculty of Mathematical Sciences, Alzahra University, Tehran, Iran Journal Article 2021 01 13 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. https://jmm.guilan.ac.ir/article_4612_bf6961ad233fafc467e3c17050a91f51.pdf