Document Type
Article
Abstract
Abstract.
This project is devoted to developing Liapunov direct method for fractional differential equations and systems. The method (constructing a system related scalar function) enables investigators to analyze the qualitative behavior of solutions of a differential equation without actually solving it. We are able to convert some fractional differential equations (semi-linear) to integral equations with singular kernels and construct Liapunov functionals for the integral equations to deduce conditions for boundedness and stability of solutions. Extending such a method to fully nonlinear equations presents a significant challenge to investigators and will be a major area of research for many years to come.
Recommended Citation
Zhang, Bo, "Stability and Liapunov Functionals for Fractional Differential Equations" (2012). Math and Computer Science Faculty Working Papers. 12.
https://digitalcommons.uncfsu.edu/macsc_wp/12