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- Title
On sensitivity analysis of parameters for fractional differential equations with Caputo derivatives.
- Authors
Yuxiang Guo; Baoli Ma; Ranchao Wu
- Abstract
In this paper, we discuss the effect of parameter variations on the performance of fractional differential equations and give the concept of fractional sensitivity functions and fractional sensitivity equations. Meanwhile, by employing Laplace transform and the inverse Laplace transform, some main results on fractional differential equations are proposed. Finally, two simple examples with numerical simulations are provided to show the validity and feasibility of the proposed theorem.
- Subjects
CAPUTO fractional derivatives; LAPLACE transformation; FRACTIONAL differential equations; COULOMB damping (Mechanics); SCHRODINGER equation; SENSITIVITY analysis
- Publication
Electronic Journal of Qualitative Theory of Differential Equations, 2016, Issue 1-122, p1
- ISSN
1417-3875
- Publication type
Article
- DOI
10.14232/ejqtde.2016.1.118