Theory and application for the system of fractional Burger equations with Mittag leffler kernel


Korpinar Z., Inc M., BAYRAM M.

Applied Mathematics and Computation, vol.367, 2020 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Volume: 367
  • Publication Date: 2020
  • Doi Number: 10.1016/j.amc.2019.124781
  • Journal Name: Applied Mathematics and Computation
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Applied Science & Technology Source, Compendex, Computer & Applied Sciences, INSPEC, Public Affairs Index, zbMATH, Civil Engineering Abstracts
  • Keywords: Atangana–Baleanu derivative, Existence and uniquenes, Mittag-leffler kernel, Series solution, System of fractional Burger equations
  • Istanbul Gelisim University Affiliated: Yes

Abstract

© 2019 Elsevier Inc.In this work, the system of fractional Burger differential equations are presented as a new fractional model for Atangana–Baleanu fractional derivative with Mittag leffler kernel. The approximate consequences are analysed by applying an recurrent process. The existence and uniquenes of solution for this system is discussed. In order to appear the effects of several parameter and variables on the movement, the approximate results are showed in graphics and are compared with obtained solutions for two different derivative in tables.