Asymptotic dynamics of ordinary differential equations (ODEs) are commonly understood by looking at eigenvalues of a matrix, and transient dynamics can be bounded above and below by considering the corresponding pseudospectra. While asymptotics for other classes of differential equations have been studied using eigenvalues of a (nonlinear) matrix-valued function, there are no analogous pseudosp...

s of IWANASP, September 10 – 12, 2008, Ericeira, Portugal NUMERICAL METHODS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH DELAY NICOLA E. BANKS Department of Mathematics, University of Chester Parkgate Road, Chester, CH1 4BJ, UK E-mail: [email protected] The aim of this talk is to present a prototype numerical algorithm for the solution of Fractional Differential Equations containing a Delay t...

In the present paper, the analytical solution for an exact second order fuzzy initial value problem under generalized Hukuhara differentiability is obtained. First the solution of first order linear fuzzy differential equation under generalized Hukuhara differentiability is investigated using integration factor methods in two cases. The second based on the type of generalized Hukuhara different...

Uncertain delay differential equation is a type of functional differential equations driven by canonical process. This paper presents a method to solve an uncertain delay differential equation, and proves an existence and uniqueness theorem of solution for uncertain delay differential equations under Lipschitz condition and linear growth condition by Banach fixed point theorem.