Related Articles ( stability )
Hyers-Ulam-Rassias Stability Criteria of Nonlinear Differential Equations of Lane-Emden Type
In this paper we establish Hyers-Ulam-Rassias stability and Hyers-Ulam Criteria for second order non-linear ordinary differential equations of Lane-Emden type; moreover two examples of such equations are considered.
Mathematical Modeling of Transmission Dynamics and Optimal Control of Isolation, Vaccination and Treatment for Hepatitis B Virus
In this paper we formulate an SEICR (Susceptible- Exposed- Infective- Carrier- Recovered) model of Hepatitis B Virus (HBV) disease transmission with constant recruitment. The threshold parameter R0 <1, known as the Basic Reproduction Number was found. This model has two equilibria, disease-free equilibrium ...
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 ...
Periodic solutions for nonlinear systems of multiple integro-integral differential equations of (V F) and (F V) type with isolated singular kernels
In this paper, the numerical-analytic method has been used to study the existence and approximation of the periodic solutions for the vector T-system of new nonlinear multiple integro-differential equations of mixed (Volterra-Fredholm) and (Fredholm-Volterra) types. Our main task provided sufficient ...
Existence and Ulam stability of solutions for Caputo-Hadamard fractional differential equations
In this paper, we study the existence of solutions for fractional differential equations with the Caputo-Hadamard fractional derivative of order 2 (1, 2]. The uniqueness result is proved via Banach’s contraction mapping principle and the existence results are established by using the Schauder’s ...
Stability for Pantograph Fractional Differential Equations
In this manuscript, we studied some sufficient condition for the asymptotically stable of the zero solution of pantograph Caputo fractional differential equations of order (1 < < 2). In a weighted Banach space, we used Krasnoselskii’s fixed point theorem to derive new reIn this manuscript, ...
Linear Stability of Thin Liquid Films Flows Down on an Inclined Plane Using Long-Wave Theory
The Long-Wave Theory is applied to investigate the dynamic stability of free thin fluid films flowing down an inclined plane. We assume that thin supported films have a thickness of 𝐻̅ and less than or equal to one hundred nm. Equations of Navier and Stokes, continuity-equation, and related boundary ...