Semi-analytical analysis of Allen-Cahn model with a new fractional derivative

Simple item page
dc.contributor.authorDeniz S.
dc.date.accessioned2024-07-22T08:06:28Z
dc.date.available2024-07-22T08:06:28Z
dc.date.issued2021
dc.description.abstractThe Allen-Cahn model equation is extended to the fractional form by using Atangana-Baleanu derivative. The modified nonlinear equation is analyzed via optimal perturbation iteration technique and Laplace transform. Some new analytical approximate solutions are derived for different cases of order α. Absolute residual errors of different order of approximations are presented to check the effectiveness and power of the proposed method and new derivative. © 2019 John Wiley & Sons, Ltd.
dc.identifier.DOI-ID10.1002/mma.5892
dc.identifier.issn01704214
dc.identifier.urihttp://akademikarsiv.cbu.edu.tr:4000/handle/123456789/13551
dc.language.isoEnglish
dc.publisherJohn Wiley and Sons Ltd
dc.subjectLaplace transforms
dc.subjectNonlinear equations
dc.subjectPerturbation techniques
dc.subjectAllen-Cahn
dc.subjectAnalytical approximate solution
dc.subjectFractional derivatives
dc.subjectIteration method
dc.subjectIteration techniques
dc.subjectModel equations
dc.subjectOptimal perturbation
dc.subjectSemi-analytical analysis
dc.subjectIterative methods
dc.titleSemi-analytical analysis of Allen-Cahn model with a new fractional derivative
dc.typeConference paper

Files

Collections

Scopus Koleksiyonu