ItemArticle

Laguerre polynomial-based operational matrix of integration for solving fractional differential equations with non-singular kernel

Title
Laguerre polynomial-based operational matrix of integration for solving fractional differential equations with non-singular kernel
Creator
Baishya C.; Veeresha P.
Description
The Atangana-Baleanu derivative and the Laguerre polynomial are used in this analysis to define a new computational technique for solving fractional differential equations. To serve this purpose, we have derived the operational matrices of fractional integration and fractional integro-differentiation via Laguerre polynomials. Using the derived operational matrices and collocation points, we reduce the fractional differential equations to a system of linear or nonlinear algebraic equations. For the error of the operational matrix of the fractional integration, an error bound is derived. To illustrate the accuracy and the reliability of the projected algorithm, numerical simulation is presented, and the nature of attained results is captured in diverse order. Finally, the achieved consequences enlighten that the solutions obtained by the proposed scheme give better convergence to the actual solution than the results available in the literature. 2021 The Author(s).
Source
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol-477, No. 2253, pp. 86-90.
Date
2021-01-01
Publisher
Royal Society Publishing
Subject
Laguerre polynomial; Mittag-Leffler kernel; operational matrix
Coverage
Baishya C., Department of Studies and Research in Mathematics, Tumkur University, Karnataka, Tumkur, India; Veeresha P., Center for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to Be University), Bengaluru, 560029, India
Rights
All Open Access; Bronze Open Access
Relation
ISSN: 13645021
Format
Online
Language
English
Type
Article

Collection

Articles

Citation

Baishya C.; Veeresha P., “Laguerre polynomial-based operational matrix of integration for solving fractional differential equations with non-singular kernel,” CHRIST (Deemed To Be University) Institutional Repository, accessed February 25, 2025, https://archives.christuniversity.in/items/show/15991.

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