Journal
CHAOS SOLITONS & FRACTALS
Volume 117, Issue -, Pages 16-20Publisher
PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.chaos.2018.10.006
Keywords
Atangana-Baleanu fractional derivatives; Atangana-Baleanu fractional integrals; Gronwall inequality; Ulam-Hyers stability
Categories
Funding
- Prince Sultan University through research group Nonlinear Analysis Methods in Applied Mathematics (NAMAM) [RG-DES-2017-01-17]
Ask authors/readers for more resources
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. (C) 2018 Elsevier Ltd. All rights reserved.
Authors
I am an author on this paper
Click your name to claim this paper and add it to your profile.
Reviews
Recommended
No Data Available