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Existence of the solution and stability for a class of variable fractional order differential systems
- Source :
- Chaos, Solitons & Fractals. 128:269-274
- Publication Year :
- 2019
- Publisher :
- Elsevier BV, 2019.
-
Abstract
- In this paper, the existence results of the solution and stability are focused for the variable fractional order differential equation. In view of the definitions of three kinds of Caputo variable fractional order operator, the sufficient condition of the solution existence for the variable fractional order differential system is obtained by use of Arzela–Ascoli theorem. Moreover, some criterions of the Mittag–Leffler stability and asymptotical stability are proposed for the variable fractional order differential system according to the Fractional Comparison Principle.
- Subjects :
- Class (set theory)
Differential equation
General Mathematics
Applied Mathematics
General Physics and Astronomy
Statistical and Nonlinear Physics
Differential systems
01 natural sciences
Stability (probability)
010305 fluids & plasmas
Arzelà–Ascoli theorem
0103 physical sciences
Applied mathematics
Order operator
Order (group theory)
010301 acoustics
Variable (mathematics)
Mathematics
Subjects
Details
- ISSN :
- 09600779
- Volume :
- 128
- Database :
- OpenAIRE
- Journal :
- Chaos, Solitons & Fractals
- Accession number :
- edsair.doi...........31b0aeeb84bfe3be05a0bd9ea96763bd