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Stability analysis of a class of fractional delay differential equations.
- Source :
-
Pramana: Journal of Physics . Aug2013, Vol. 81 Issue 2, p215-224. 10p. 5 Graphs. - Publication Year :
- 2013
-
Abstract
- In this paper we analyse stability of nonlinear fractional order delay differential equations of the form $D^{\alpha} y(t) = a f\left(y(t-\tau)\right) - b y(t)$, where D is a Caputo fractional derivative of order 0 < α ≤ 1. We describe stability regions using critical curves. To explain the proposed theory, we discuss fractional order logistic equation with delay. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 03044289
- Volume :
- 81
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Pramana: Journal of Physics
- Publication Type :
- Academic Journal
- Accession number :
- 89567802
- Full Text :
- https://doi.org/10.1007/s12043-013-0569-5