Publications (409)
ARTICLE
ANALYTICAL APPROXIMATION OF THE TIME-FRACTIONAL BURGERS EQUATION USING THE LAPLACE-SBA METHOD
Bayalla Bazoboué Laurent* , Sawadogo Salomond, Bamogo Hamadou et Francis Bassono
This paper investigates the application of the Laplace-SBA method to a nonlinear Burgers-type equation with a fractional time derivative in the sense of Caputo. Such equations, which incorporate memory effects and nonlocal behavior, are increasingly used to model
fractional partial equation, Laplace-SBA method, the time-fractional Burgers-type equation, Caputo derivative
ARTICLE
Weak solutions of a discrete Robin problem involving the anisotropic $\vect{p}$-mean curvature operator
B. Moussa, I. Nyanquini, S. Ouaro
This work investigates the existence and uniqueness of a so- lution to a discrete Robin boundary value problem involving the anisotropic p⃗-mean curvature operator. The existence re- sult is established through variational methods, specifically by applying the Mountain Pass Theorem of Ambrosetti and Rabinowitz in combination with Ekeland’s Var(...)
Discrete Robin problem, boundary value problems, anisotropic p⃗-mean curvature oper- ator, critical point, nontrivial solution, mountain pass theorem, Ekeland variational principle
ARTICLE
On the study of cellular automata on modulo-recurrent words
Moussa Barro, K. Ernest Bognini and Boucaré Kientéga
In this paper, we study some class of cellular automata (CA) preserving modulo-recursive, stability by reflection and richness called stable cellular automata (SCA). After applying these automata on Sturmian words, we establish some combinatorial properties of these new words. Next, the classical and palindromic complexity functions of these w(...)
: cellular automata (CA), modulo-recurrent, Sturmian words, palindromic factor, complexity function.
ARTICLE
Media campaigns, early diagnosis, isolation and treatment on bacterial meningitis outbreak prevention: A modeling study
Ousmane Koutou, Wendkouni Ouedraogo, Hamidou Ouedraogo, Komi Afassinou, Abou Bakari Diabate
Bacterial meningitis is a severe infection affecting the protective membranes of the brain and spinal cord, with rapidly worsening symptoms that can lead to life-threatening complications. This study presents an autonomous deterministic epidemic model, SIaIsMRS, to explore the dynamics of bacterial meningitis in a community implementing contro(...)
Mathematical analysis, optimal control, bacterial meningitis, early diagnosis, media coverage, numerical results
ARTICLE
Privileged Complexity of the ternary Thue-Morse word
Boucaré Kientéga, K. Ernest Bognini and Moussa Barro
In this paper, we focus on a new type of complexity of infinite words called privileged complexity. We apply this concept to the ternary Thue-Morse word. First, we present properties of the return words in the ternary Thue-Morse word. Then, we study the privileged words of this infinite word. Finally, we derive a recursive formula that allows(...)
Infinite words, Frist complete return word, Privileged word, Privileged complexity
ARTICLE
A mathematical model study with crowley-Martin functional responses to describe fish and zooplankton dynamics
Wendkouni Ouedraogo, Hamidou Ouedraogo, Ousmane Koutou, Boureima Sangare
In this paper, we consider a reaction-diffusion model with homogeneous Neumann
boundary conditions to describe fish and zooplankton dynamics. This model incorporates
a complex Crowley-Martin functional responses. We also introduce two important
elements: fishing and cannibalism effect in the dynamics. In the mathematical
analysis, global a(...)
Population dynamics, fishing effort, prey-predator system, Crowley-Martin functional response, persistence, stability, Hopf bifurcation, turing instability, zooplankton and fish ecosystem.
ARTICLE
Existence of solutions for nonlinear degenerate elliptic equations with L^{m}-data and Neumann boundary condition
Mohamed Badr Benboubker, Hayat Benkhaloub, Hassane Hjiajb, Stanislas Ouaro
In this paper, we consider the following homogenous Neumann elliptic problem
=f in Ω, on ∂Ω,
−div
(2)
NN
XX
− Di(a(x,u,∇u))+ i
i=1 XN
solutions in the sense of distributions for our elliptic problem in the anisotropic Sobolev spaces.
Anisotropic Sobolev spaces, Neumann boundary condition, nonlinear elliptic problem, solutions in the sense of distributions
ARTICLE
p(.)-Elliptic inclusion problem with natural growth term and Fourie type Boundary condition
I. Konaté, S. Ouaro
In this paper, we discuss the existence of renormalized and entropy solutions of nonlinear elliptic problems governed by the general p(.)-Leray-Lions type operator with a natural growth term subject to L1 data in the interior of the domain and Fourier type condition on the boundary. We first introduce a sequence of approximated prob- lems by r(...)
Nonlinear Elliptic Problems, Partial Differential Equations, Weak Solutions
ARTICLE
Multivalued nonlinear Dirichlet Boundary p(u)-Laplacian problem. Mem. Differ. Equ. Math. Phys
N. Sawadogo, S. Ouaro
We study the following nonlinear homogenous Dirichlet boundary p(u)-Laplacian problem β(u)−diva(x,u,∇u)∋f inΩ, u=0 on∂Ω.
The existence and partial uniqueness results of solutions for L1-data f are established
Variable exponent p(u)-Laplacian, Young measure, homogeneous Dirichlet boundary condition, bounded Radon diffuse measures, maximal monotone graph
ARTICLE
Multiple homoclinic solutions for the discrete $p(X)$-Laplacian problems of Kirchhoff type
Y. Ouedraogo, B. Kone and S. Ouaro
In this paper we consider the discrete anisotropic difference equation with variable exponent using critical point theory. The study of nonlinear difference equations has now attracted special attention as they have important applications in various research areas such as numerical analysis, computer science, mechanical engineering, cellular n(...)
Anisotropic difference equation; critical point theory; Mountain pass lemma; direct variational method
ARTICLE
Nonlinear discrete Neumann problem involving p(k)-Laplacian type operator
B. Moussa, I. Nyanquini, S. Ouaro
In this paper, we prove the existence and multiplicity of solutions for a discrete nonlinear Neumann problem involving a p(k)-Laplacian operator in a T-dimensional Banach space. The technical approach is based on critical point theory and variational methods
Discrete boundary value problem, multiple solutions, variational meth- ods, critical point theory, Neumann problem
ARTICLE
Multiplicity of solutions for discrete potential boundary p(k)-Laplace Kirchhoff type equations
B. Moussa, I. Nyanquini, S. Ouaro
In this article, we prove the existence and multiplicity of solutions for discrete p(k)-Laplace Kirchhoff type equations with a po- tential boundary condition. The technical approach for the proof of the existence of solutions is based on variational methods and critical point theory for convex sets
Kirchhoff type equation, potential boundary condition, multi- ple solutions, variational methods, critical point theory.
ARTICLE
ANALYSIS OF A CO-INFECTION MODEL CONSIDERING THE INFLUENCE OF INFORMATION DYNAMICS
Ali TRAORE, Hamadoum Dicko, Rosaire Ouedraogo
In this paper, we present a mathematical model to study the dynamics of a co-infection involving two diseases: one that confers tem- porary immunity and the other that confers permanent immunity, while incorporating the impact of information dissemination about temporary immunity disease. The study of the disease with temporary immunity shows(...)
Mathematical modeling, co-infection, stability, optimal control.
ARTICLE
Square-mean pseudo almost automorphic Solutions of class r in the α-norm under The light of measure theory
Djendode Mbainadji, Issa Zabsonre
The main objective of this work is to study the existence and uniqueness of the square-mean (μ, ν)-pseudo almost automorphic solution of class r in the α-norm for a stochastic partial functional differential equation. For this purpose, we use the Banach contraction principle and the techniques of fractional powers of an operator to obtain the(...)
(μ, ν)-pseudo almost automorphic functions, ergodicity, measure theory, partial functional differential equations, stochastic evolution equations, stochastic processes.
ARTICLE
Crank–Nicolson Method for the Advection-Diffusion EquationInvolving a Fractional Laplace Operator
Martin Nitiema , Thomas Tindano , Windjiré Some
We consider an advection-diffusion equation involving a fractional Laplace operator of order s 2 0; 1\f1=2g:. Using a combination of fractional left and right Riemann–Liouville derivatives of order 2s to approximate the fractional Laplace operator, we construct a numerical scheme using the Crank–Nicolson method. Using the Crank–Nicolson sche(...)
Crank–Nicolson method; fractional Laplace operator; fractional Riemann–Liouville derivatives; stability and convergence