Fractional-order generalized Legendre wavelets and their applications to fractional Riccati differential equations-Reference-Cited by-同舟云学术

Fractional-order generalized Legendre wavelets and their applications to fractional Riccati differential equations

Published:2021-05-20 Issue:0 Volume:0 Page:
ISSN:2191-0294
Container-title:International Journal of Nonlinear Sciences and Numerical Simulation
language:en
Short-container-title:

Author:

Yuttanan Boonrod¹,Razzaghi Mohsen²,Vo Thieu N.³

Affiliation:

1. Algebra and Applications Research Unit, Division of Computational Science , Faculty of Science Prince of Songkla University , Songkhla 90110 , Thailand

2. Department of Mathematics and Statistics , Mississippi State University , Mississippi , USA

3. Fractional Calculus, Optimization and Algebra Research Group , Faculty of Mathematics and Statistics Ton Duc Thang University , Ho Chi Minh City , Vietnam

Abstract

Abstract In the present paper, fractional-order generalized Legendre wavelets (FOGLWs) are introduced. We apply the FOGLWs for solving fractional Riccati differential equation. By using the hypergeometric function, we obtain an exact formula for the Riemann–Liouville fractional integral operator (RLFIO) of the FOGLWs. By using this exact formula and the properties of the FOGLWs, we reduce the solution of the fractional Riccati differential equation to the solution of an algebraic system. This algebraic system can be solved effectively. This method gives very accurate results. The given numerical examples support this claim.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,General Physics and Astronomy,Mechanics of Materials,Engineering (miscellaneous),Modeling and Simulation,Computational Mechanics,Statistical and Nonlinear Physics

Link

https://www.degruyter.com/document/doi/10.1515/ijnsns-2020-0137/pdf

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