Fractional differential equations with Atangana–Baleanu fractional derivative: Analysis and applications

We study linear and nonlinear fractional differential equations of order 0 < α < 1, involving the Atangana–Baleanu fractional derivative. We establish existence and uniqueness results to the linear and nonlinear problems using Banach fixed point theorem. We then develop a numerical technique b...

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Bibliographic Details
Main Authors: M.I. Syam, Mohammed Al-Refai
Format: Article
Language:English
Published: Elsevier 2019-06-01
Series:Chaos, Solitons & Fractals: X
Online Access:http://www.sciencedirect.com/science/article/pii/S2590054419300119