Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Articles Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Laguerre polynomial-based operational matrix of integration for solving fractional differential equations with non-singular kernel Subject The topic of the resource Laguerre polynomial; Mittag-Leffler kernel; operational matrix Description An account of the resource 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). Creator An entity primarily responsible for making the resource Baishya C.; Veeresha P. Source A related resource from which the described resource is derived Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol-477, No. 2253, pp. 86-90. Publisher An entity responsible for making the resource available Royal Society Publishing Date A point or period of time associated with an event in the lifecycle of the resource 2021-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1098/rspa.2021.0438" target="_blank" rel="noreferrer noopener">https://doi.org/10.1098/rspa.2021.0438</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85118833419&amp;doi=10.1098%2Frspa.2021.0438&amp;partnerID=40&amp;md5=6f5a77428c25ff41164d42fe93ede7fb" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85118833419&amp;doi=10.1098%2frspa.2021.0438&amp;partnerID=40&amp;md5=6f5a77428c25ff41164d42fe93ede7fb</a> Rights Information about rights held in and over the resource All Open Access; Bronze Open Access Relation A related resource ISSN: 13645021 Format The file format, physical medium, or dimensions of the resource Online Language A language of the resource English Type The nature or genre of the resource Article Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant 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