Theory and application for the time fractional Gardner equation with Mittag-Leffler kernel

Korpinar Z., Inc M., Baleanu D., BAYRAM M.

Journal of Taibah University for Science, vol.13, no.1, pp.813-819, 2019 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 13 Issue: 1
  • Publication Date: 2019
  • Doi Number: 10.1080/16583655.2019.1640446
  • Journal Name: Journal of Taibah University for Science
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.813-819
  • Keywords: Atangana–Baleanu derivative, existence and uniqueness, Mittag-Leffler kernel, series solution, The time fractional Gardner equation
  • Istanbul Gelisim University Affiliated: Yes

Abstract

© 2019 The Author(s). Published by Informa UK Limited, trading as Taylor & Francis Group.In this work, the time fractional Gardner equation is presented as a new fractional model for Atangana–Baleanu fractional derivative with Mittag-Leffler kernel. The approximate consequences are analysed by applying a recurrent process. The existence and uniqueness of solution for this system is discussed. To explain the effects of several parameters and variables on the movement, the approximate results are shown in graphics and tables.