Related Articles ( delay )
Existence of Solution of Neutral Fractional Impulsive Differential Equations with Infinite Delay
In this work we define the solution of the fractional neutral impulsive differential equation with infinite delay. The results of existence are obtained by using the Banach contraction and Schafer fixed point. Some proprieties of probability density functions and semi-group theory are also used.
Oscillatory Behavior of Higher-Order Delay Differential Equations
This paper is concerned with asymptotic and oscillatory properties of the nonlinear higher-order differential equation with delay argument. Some examples are given to illustrate our main result.
A Model of Oral and Parenteral Drug Administration with Control
Drug administration is largely a frontier in pharmacokinetics and pharmacodynamics. Kinetics and dynamics are of science in general, and therefore issues on drug administration may be of interdisciplinary interest. This paper treated pharmacokinetics from the standpoints of a subject-specific drug administration ...
An Oscillation Criterion in Delay Differential Equations
Consider the first order linear delay differential equation x0(t) + p(t)x(τ(t)) = 0, t ≥ t0, where p is a continuous function of nonnegative real numbers and the argument τ(t) is not necessarily monotone. Based on an iterative technique, a new oscillation criterion is established when the well-known ...
Controllability of Fractional-order Dynamical System with Time Varying-Delays
In this study, controllability of a class of fractional-order dynamical system with time-varying delays is considered. First, a representation of the solution is given using Laplace transform and Mittageleffler function. Then necessary and sufficient conditions for the controllability of the fractional ...
A comparison between applications of the Lyapunov’s second (direct) method and fixed point theory
Inthisarticle,wewilldiscusstheapplicationoftheLyapunov’ssecondmethodandfixedpointtheoriestocertaindifferential equations of first and second order. First, we will introduce some basic information about these subjects, and later, we give their applications concerning some specific attitude of Solutions ...
Homotopy Sumudu Transformation Method for Solving Fractional Delay Differential Equations
In this article, A new accurate approximate solution for a nonlinear fractional delay differential equations are obtained using an effective algorithm so called homotopy analysis sumudu transformation method (HASTM). Some examples have been solved to demonstrate the methodology of this procedure. The ...