ANALYTICAL TREATMENTS TO SYSTEMS OF FRACTIONAL DIFFERENTIAL EQUATIONS WITH MODIFIED ATANGANA–BALEANU DERIVATIVE

Mohammed Al-Refai, Muhammed I. Syam, Dumitru Baleanu

Research output: Contribution to journalArticlepeer-review

1 Citation (Scopus)

Abstract

The solutions of systems of fractional differential equations depend on the type of the fractional derivative used in the system. In this paper, we present in closed forms the solutions of linear systems involving the modified Atangana–Baleanu derivative that has been introduced recently. For the nonlinear systems, we implement a numerical scheme based on the collocation method to obtain approximate solutions. The applicability of the results is tested through several examples. We emphasize here that certain systems with the Atangana–Baleanu derivative admit no solutions which is not the case with the modified derivative.

Original languageEnglish
Article number2340156
JournalFractals
Volume31
Issue number10
DOIs
Publication statusPublished - 2023

Keywords

  • Fractional Differential Equations
  • Linear Systems
  • Mittag-Leffler Kernel

ASJC Scopus subject areas

  • Modelling and Simulation
  • Geometry and Topology
  • Applied Mathematics

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