Reproducing kernel method for fractional derivative with non-local and non-singular kernel
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Date
2019
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Springer International Publishing
Access Rights
info:eu-repo/semantics/closedAccess
Abstract
Atangana and Baleanu introduced a derivative with fractional order to answer some outstanding questions that were posed by many investigators within the field of fractional calculus. Their derivative has a non-singular and nonlocal kernel. Therefore, we apply the reproducing kernel method to fractional differential equations with non-local and non-singular kernel. In this work, a new method has been developed for the newly established fractional differentiation. Examples are given to illustrate the numerical effectiveness of the reproducing kernel method when properly applied in the reproducing kernel space. The comparison of approximate and exact solutions leaves no doubt believing that the reproducing kernel method is very efficient and converges toward exact solution very rapidly. © Springer Nature Switzerland AG 2019.
Description
Keywords
Atangana–Baleanu fractional derivative, Fractional calculus, Reproducing kernel method
Journal or Series
Studies in Systems, Decision and Control
WoS Q Value
Scopus Q Value
Q2
Volume
194
