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Study of the Atangana-Baleanu-Caputo type fractional system with a generalized Mittag-Leffler kernel
- Source :
- AIMS Mathematics, Vol 7, Iss 2, Pp 2001-2018 (2022)
- Publication Year :
- 2022
- Publisher :
- AIMS Press, 2022.
-
Abstract
- We devote our interest in this work to investigate the sufficient conditions for the existence, uniqueness, and Ulam-Hyers stability of solutions for a new fractional system in the frame of Atangana-Baleanu-Caputo fractional operator with multi-parameters Mittag-Leffler kernels investigated lately by Abdeljawad (Chaos: An Interdisciplinary J. Nonlinear Sci. Vol. 29, no. 2, (2019): 023102). Moreover, the continuous dependence of solution and $ \delta $-approximate solutions are analyzed to such a system. Our approach is based on Banach's and Schaefer's fixed point theorems and some mathematical techniques. In order to illustrate the validity of our results, an example is given.
- Subjects :
- Work (thermodynamics)
δ-approximate solution
General Mathematics
Stability (learning theory)
generalized mittag-leffler
existence
Order (ring theory)
Fixed-point theorem
fixed point theorem
Type (model theory)
generalized abc fractional integrals and derivatives
Nonlinear system
Kernel (image processing)
QA1-939
Applied mathematics
Uniqueness
Mathematics
Subjects
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 7
- Issue :
- 2
- Database :
- OpenAIRE
- Journal :
- AIMS Mathematics
- Accession number :
- edsair.doi.dedup.....0089a48b8f8cec4062801c3d2b33ded5