Back to Search
Start Over
Existence and Hyers-Ulam stability for a nonlinear singular fractional differential equations with Mittag-Leffler kernel
- Source :
- Chaos, Solitons & Fractals. 127:422-427
- Publication Year :
- 2019
- Publisher :
- Elsevier BV, 2019.
-
Abstract
- In this paper we are established the existence of positive solutions (EPS) and the Hyers-Ulam (HU) stability of a general class of nonlinear Atangana-Baleanu-Caputo (ABC) fractional differential equations (FDEs) with singularity and nonlinear p-Laplacian operator in Banach’s space. To find the solution for the EPS, we use the Guo-Krasnoselskii theorem. The fractional differential equation is converted into an alternative integral structure using the Atangana-Baleanu fractional integral operator. Also, HU-stability is analyzed. We include an example with specific parameters and assumptions to show the results of the proposal.
- Subjects :
- General Mathematics
Applied Mathematics
Operator (physics)
Structure (category theory)
General Physics and Astronomy
Statistical and Nonlinear Physics
Space (mathematics)
01 natural sciences
Stability (probability)
010305 fluids & plasmas
Nonlinear system
symbols.namesake
Kernel (algebra)
Singularity
Green's function
0103 physical sciences
symbols
Applied mathematics
010301 acoustics
Mathematics
Subjects
Details
- ISSN :
- 09600779
- Volume :
- 127
- Database :
- OpenAIRE
- Journal :
- Chaos, Solitons & Fractals
- Accession number :
- edsair.doi...........7702453d18e4dc2760b1d69baf9b1f8a