An Efficient Numerical Scheme for Solving Multiorder Tempered Fractional Differential Equations via Operational Matrix

Abiodun Ezekiel Owoyemi, Chang Phang, Yoke Teng Toh and Arzu Akbulut

Journal of Mathematics, 2022, vol. 2022, 1-9

Abstract: In this paper, we extend the operational matrix method to solve the tempered fractional differential equation, via shifted Legendre polynomial. Although the operational matrix method is widely used in solving various fractional calculus problems, it is yet to apply in solving fractional differential equations defined in the tempered fractional derivatives. We first derive the analytical expression for tempered fractional derivative for xp, hence, using it to derive the new operational matrix of fractional derivative. By using a few terms of shifted Legendre polynomial and via collocation scheme, we were able to obtain a good approximation for the solution of the multiorder tempered fractional differential equation. We illustrate it using some numerical examples.

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:7628592

DOI: 10.1155/2022/7628592

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