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, cilt.13, sa.1, ss.813-819, 2019 (SCI-Expanded, Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 13 Sayı: 1
  • Basım Tarihi: 2019
  • Doi Numarası: 10.1080/16583655.2019.1640446
  • Dergi Adı: Journal of Taibah University for Science
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.813-819
  • Anahtar Kelimeler: Atangana–Baleanu derivative, existence and uniqueness, Mittag-Leffler kernel, series solution, The time fractional Gardner equation
  • İstanbul Gelişim Üniversitesi Adresli: Evet

Özet

© 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.