A novel Legendre operational matrix for distributed order fractional differential equations

Marzieh Pourbabaee and Abbas Saadatmandi

Applied Mathematics and Computation, 2019, vol. 361, issue C, 215-231

Abstract: In this paper, for the first time, the shifted Legendre operational matrix of distributed order fractional derivative has been derived. Also, this new operational matrix is used together with tau method for approximation of solutions of linear distributed order fractional differential equations and diffusion equations with distributed order in time. Moreover, eight numerical examples are implemented in order to show the validity and reliability of the suggested methods.

Keywords: Distributed order equation; Fractional differential equations; Caputo derivative; Operational matrix; Legendre polynomials (search for similar items in EconPapers)
Date: 2019
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Citations: View citations in EconPapers (6)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:361:y:2019:i:c:p:215-231

DOI: 10.1016/j.amc.2019.05.030

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