Publications (371)
ARTICLE
APPROXIMATED SOLUTIONS OF THE HOMOGENEOUS LINEAR FRACTIONAL DIFFUSION-CONVECTION-REACTION EQUATION
Bamogo Hamadou:, Nebie Abdoul Wassiha, Francis Bassono, Minougou Youssouf and Bagayogo Moussa
Our work focused on solving a homogeneous linear fractional diffusion, diffusion-convection and diffusion-convection-reaction model with various initial conditions and appropriate parameters. We used the Adomian decomposition method (ADM) to find exact or approximate solutions
diffusion, convection, reaction, homogeneous
ARTICLE
Approximated solutions of the homogeneous linear fractional diffusion-convection-reaction equation
BAMOGO Hamadou, NEBIE Abdoul Wassiha, BASSONO Francis, MINOUNGOU Youssouf, BAGAYOGO Moussa
Our work focused on solving a homogeneous linear fractional diffusion, diffusion-convection and diffusion-convection-reaction model with various initial conditions and appropriate parameters. We used the Adomian decomposition method (ADM) to find exact or approximate solutions.
diffusion,
ARTICLE
ENTROPY SOLUTION OF NONLINEAR INTEGRO- DIFFERENTIAL EQUATIONS WITH DIFFUSE MEASURE DATA
SAFIMBA SOMA and MOHAMED BANCE
Given a parabolic cylinder QT = Ω × (0, T ), where Ω is a bounded domain of RN , we consider the nonlinear integro-differential parabolic problems with
Dirichlet boundary values of the type ∂t(k∗(b(v)−b(v0)))−div(a(x,Dv)+F(v))=μ in QT,
where b is a non-decreasing C 0 - function, kernel k belongs to the large class of PC kernels and μ is a di(...)
fractional time derivative, nonlinear Volterra equation, nonlinear parabolic equations, entropy solution, diffuse measures
ARTICLE
The Cauchy problem for the minimal surface equation
BELLA Boureima, KABORE Bruno, LY Ibrahim
We solve a Cauchy problem for a nonlinear elliptic equation using variational methods.
nonlinear PDE, Cauchy problem, variational problems
ARTICLE
THE IMPACT OF VACCINATION AND ANTIVIRAL TREATMENT ON THE TRANSMISSION OF HCV INFECTION
Bamogo Hamadou, Bationo Jérémie Yiyuréboula, Bassono Francis and Nebie Abdoul Wassiha
We developed a VSEACTR model for the impact and antiviral treatment of HCV. To do this, we drew a diagram of the model to obtain a system of nonlinear fractional differential equations. We calculated the base reproduction rate R0 and ran a numerical simulation for several values of the key vaccination factor, that is to say the parameter y. Th(...)
hepatitis C virus (HCV)
ARTICLE
Local Existence and Regularity of Solutions in α-norm for Some Second Order Partial Neutral Functional Differential Equations with Infinite Delay
Djendode Mbainadji and Issa Zabsonre
This work examines the existence and regularity of solutions in the alpha-norm for second order partial neutral functional differential equations with infinite delay in Banach spaces. To establish the local existence of solutions, we use the cosine families theory and Schauder’s fixed point theorem. We also provide sufficient conditions to ens(...)
Mots clés non renseignés
ARTICLE
STABILITY FOR SHEAR BEAM MODEL AND NEWFACTS RELATED TO THE CLASSICALTIMOSHENKO SYSTEM WITH VARIABLE DELAY
Innocent OUEDRAOGO, Gilbert BAYILI
In this paper we study a Timoshenko type beam model with a variable delay. It is mainlyabout, on the one hand, a study of the existence and uniqueness of the solution and on the otherhand, to present a study of exponential stability of the obtained solution. The introduction of thevariable delay term is the added value brought by this work.
Timoshenko system, Exponential stability, Faedo Galerkin Method, Time delay
ARTICLE
Mathematical analysis and optimal control of dengue fever epidemic model
YODA Yacouba, OUEDRAOGO Harouna , OUEDRAOGO Dramane and GUIRO Aboudramane
In this article, we are working on an SEIR-SI type model for dengue disease in order to
better observe the dynamics of infection in human beings. We calculate the basic
reproduction number R0 and determine the equilibrium points. We then show the
existence of global stability in each of the different states depending on the value of
R0(...)
Mots clés non renseignés
ARTICLE
Polynomial stabilization of the wave equation with a time varying delay term in the dynamical control.
Désiré Saba, Bayili Gilbert, Serge Nicaise
We consider the one-dimensional wave equation with a time-varying delay term in the dynamical control. Under suitable assumptions, we show the well posedness of the problem. These results are obtained by using semi-group theory. Combining the multiplier method with a non linear integral inequality, a rational energy decay result of the system(...)
Dynamical control Stability, Time varying delay
ARTICLE
SPATIO-TEMPORAL MATHEMATICAL MODELING OF INFECTIOUS DISEASES WITH CROSS DIFFUSION EFFECTS
SAFIMBA SOMA , SIAKA KAMBELE and ABOUDRAMANE GUIRO
In this paper, we study analytically a class of nonlinear parabolic reaction- diffusion systems modeling the spread of infectious diseases with cross- diffusion terms. This model is governed by an S-I-R type system. First, we
prove the global existence of weak solution to this class of system by means of an approximation process, the Faedo-Ga(...)
Keywords and phrases: infectious diseases, S-I-R model, cross-diffusion system, weak solutions, Faedo-Galerkin.
ARTICLE
THE EXISTENCE OF THREE POSITIVE SOLUTIONS OF NONHOMOGENEOUS SINGULAR KIRCHHOFF PROBLEMS
Rabo Noufou, Ouaro Stanislas
In the present paper, we establish two results of the existence of three solutions for a quasilinear problem involving singular (of the type u−δ) and non- local terms. The first concern the case where δ 0 in the singular term whereas the second present a strongly-singular nonlinearity (δ 1)
Mots clés non renseignés
ARTICLE
C^n-pseudo almost periodic solutions under the light of measure theory
MICAILOU NAPO AND ISSA ZABSONRE
The aim of this work is study some properties and the existence of solution of some C^npseudo almost periodic solutions of class r in a Banach space when the delay is distributed using the variation of constants formula and the spectral decomposition of the phase space.
measure theory, C^n--pseudo almost periodic function, delay differential equations
ARTICLE
Nonlinear problem having natural growth term and measure data
Konaté Ibrahime, Idrissa Ibrango, Ouaro Stanislas
The aim of this paper is to study the existence of solutions of multi- valued nonlinear elliptic problems involving the natural growth term, measure data and the general p(.)-Leray-Lions type operator. Using a decomposition of Radon diffuse measure due to Nyanquini et al.(see [26]) and approximation method, we construct an approximate problem(...)
Mots clés non renseignés
ARTICLE
Pseudo lmost periodic solutions of infinite class in the α-norm under the light of measure theory
DJENDODE MBAINADJI, DJOKATA VOTSIA AND ISSA ZABSONRE
The aim of this work is to study weighted pseudo almost periodic functions with infinite delay via measure theory. Using the Banach fixed point theorem and the techniques of fractional powers of an operator, we establish the existence and uniqueness of pseudo almost periodic solutions in the alpha-norm of the infinite class for some functiona(...)
Mots clés non renseignés
ARTICLE
ASYMPTOTIC EXPANSIONS FOR ELLIPTIC BOUNDARY VALUE PROBLEMS
KABORE Bruno, BELLA Boureima, LY Ibrahim
We propose an asymptotic solution related to a Cauchy problem for an elliptic
equation or system with data on a part of the boundary within solving operators
of Zaremba type mixed boundary problems.
Cauchy problem, variational problems