Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
11007718 | Chaos, Solitons & Fractals | 2018 | 5 Pages |
Abstract
In this paper, we discuss the conditions of existence and uniqueness of solutions to a certain class of ordinary differential equations involving Atangana-Baleanu fractional derivative. Benefiting from the Gronwall inequality in the frame of Riemann-Liouville fractional integral, we establish a Gronwall inequality in the frame of Atangana-Baleanu fractional integral. Then, we study the stability of such equations in the sense of Ulam.
Keywords
Related Topics
Physical Sciences and Engineering
Physics and Astronomy
Statistical and Nonlinear Physics
Authors
Fahd Jarad, Thabet Abdeljawad, Zakia Hammouch,