On the Optimal Control of Intervention Strategies for Hepatitis B ModelRead the full article
Abstract and Applied Analysis publishes research with an emphasis on important developments in classical analysis, linear and nonlinear functional analysis, ordinary and partial differential equations, optimisation theory, and control theory.
Chief Editor, Dr Wong, is an associate professor at Nanyang Technological University, Singapore. Her research interests include differential equations, difference equations, integral equations, and numerical mathematics.
Latest ArticlesMore articles
Global Existence and Large Time Behavior for the 2-D Compressible Navier-Stokes Equations without Heat Conductivity
In this paper, we consider an initial value problem for the 2-D compressible Navier-Stokes equations without heat conductivity. We prove the global existence of a strong solution when the initial perturbation is small in and its norm is bounded. Moreover, we derive some decay estimate for such a solution.
On Annihilated Points and Approximate Fixed Points of General Higher-Order Nonexpansive Mappings
In this paper, we extend the results obtained by Ezearn on annihilated points for his higher-order nonexpansive mappings to the context of general higher-order nonexpansive mappings. Precisely in his thesis, Ezearn introduced the concept of annihilated points, which extends the notion of fixed points, and it is only meaningful in the context of higher-order nonexpansive mappings and gave some mild conditions when the annihilated points could exist in strictly convex Banach spaces. In the last direction, we also extend Ezearn’s result on the approximate fixed point sequence for higher-order nonexpansive mappings to general higher-order nonexpansive mappings.
Investigation of Fractional Calculus for Extended Wright Hypergeometric Matrix Functions
Throughout this paper, we will present a new extension of the Wright hypergeometric matrix function by employing the extended Pochhammer matrix symbol. First, we present the extended hypergeometric matrix function and express certain integral equations and differential formulae concerning it. We also present the Mellin matrix transform of the extended Wright hypergeometric matrix function. After that, we present some fractional calculus findings for these expanded Wright hypergeometric matrix functions. Lastly, we present several theorems of the extended Wright hypergeometric matrix function in fractional Kinetic equations.
Gevrey Asymptotics for Logarithmic-Type Solutions to Singularly Perturbed Problems with Nonlocal Nonlinearities
We investigate a family of nonlinear partial differential equations which are singularly perturbed in a complex parameter and singular in a complex time variable at the origin. These equations combine differential operators of Fuchsian type in time and space derivatives on horizontal strips in the complex plane with a nonlocal operator acting on the parameter known as the formal monodromy around 0. Their coefficients and forcing terms comprise polynomial and logarithmic-type functions in time and are bounded holomorphic in space. A set of logarithmic-type solutions are shaped by means of Laplace transforms relatively to and and Fourier integrals in space. Furthermore, a formal logarithmic-type solution is modeled which represents the common asymptotic expansion of the Gevrey type of the genuine solutions with respect to on bounded sectors at the origin.
Control of the Spread of COVID-19 by the Sentinel Method and Numerical Simulation of the Studied Model Solution
The COVID-19 (coronavirus disease) pandemic represents a global public health emergency unprecedented in recent history. This explains the growing interest of scientists in this subject. Indeed, the question of the COVID-19 pandemic has led to numerous scientific works, with the aim of estimating the reproduction number, the start date of the epidemic or the cumulative incidence. Their results have contributed to epidemiological surveillance and informed public health policy decisions. In our work, using basic data and statistics from the city of Ouagadougou in Burkina Faso, we first consider a mathematical model of COVID-19 transmission taking into account the possibility of transmission from dead populations to susceptible populations; then, we use another method which is the sentinel’s method of JL Lions to estimate the number of infected populations without any time trying to know the beginning of the epidemic; finally, we highlight the numerical simulation of the considered model solution.
Fixed-Point Theorems Involving Lipschitz in the Small
Lipschitz in the small is a generalization of the Lipschitz condition. The Lipschitz condition guarantees the uniqueness of the solution of the initial value problems. A special Lipschitz condition in the small is a contraction in the small. Based on the Lipschitz in the small in this paper, fixed-point theorems involving contraction in the small will be presented. The results will be applied to develop Picard’s theorem.