Publications (392)
ARTICLE
The Solution of Fractional Diffusion-reaction Equation Via the Regular Perturbation Method (RPM)
Bationo Jérémie Yiyuréboula, Yaya Moussa, Bassono Francis
In this paper, we implement Regular Perturbation Method (RPM) of the Solving fractional diffusion-reaction equation, in order to determine the exact analytical solutions of some linear fractional diffusion-reaction equation. In general, the solving using this method allow to obtain exact or approximate solutions. For the case of the diffusion(...)
Linear fractional diferential equation regular perturbation method Mittag-Leer Caputo fractional derivative or integral
ARTICLE
A NEW APPROACH OF SBA METHOD FOR SOLVING NONLINEAR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS
Bamogo Hamadou, Francis Bassono, Yaya Moussa, Youssouf Paré
We propose a new approach of the SBA method to solve nonlinear fractional partial differential equations. Two examplesare considerd to illustrate the method.
SBA METHOD FOR SOLVING NONLINEAR FRACTIONAL PARTIAL DIFFERENTIAL EQUATIONS
ARTICLE
Stepanov-Like Pseudo Almost Periodic Solutions of Class r in alpla-Norm under the Light of Measure Theory
Issa Zabsonre, Abdel Hamid Gamal Nsangou, Moussa El-Khalil Kpoumie and Salifou Mboutngam
The aim of this work is to present some interesting results on weighted ergodic functions. We also study the existence and uniqueness of weighted Stepanov-like pseudo almost periodic solutions class r for some partial di erential equations in a Banach space when the delay is distributed using the spectral decomposition of the phase space devel(...)
Mots clés non renseignés
ARTICLE
The solutions of the linear fractional diffusion and diffusion-convection equations via the regular perturbation method (RPM)
Bationo Jérémie Yiyuréboula, Bassono Francis
In the paper,we implement regular perturbation method (RPM) for solving fractional diffusion and diffusion-convection equations, in order to determine the analytical solutions of some linear fractional diffusion and linear fractional diffusion-convection equations. In general, the solving using this method allow to obtain exact or approximate(...)
Linear fractional differential equation, regular perturbation method, Mittag-Leffler, Caputo fractional derivative
ARTICLE
Boundedness of Nonregular Pseudo-differential Operators and Their Adjoints on Variable Exponent Besov-Morrey Spaces
Mohamed Congo, Marie Françoise Ouedraogo
This paper deal with the boundedness property of non regular pseudo-differential operators a(x, D) and their adjoints a(x, D)∗ on variable exponent BM spaces. For this purpose, given such an operator, we use the technique of decomposition of its symbol into elementary symbols already used in other spaces.
Pseudo-differential operators, adjoints, Non regular symbols
COMMUNICATION
Sélection de la meilleure variété de papaye par une méthode d’aide à la décision
Sougoursi Jean Yves ZARE, Z𝒐𝒊𝒏𝒂𝒃𝒐 SAVADOGO
Le secteur agricole en général représente une part importante de l’économie du Burkina Faso.
Ce secteur à lui seul contribue à près de 35% du PIB. L’arboriculture y occupe une place de
choix. Cependant, ce secteur souffre d’une faible productivité due entre autres à la non maitrise
des techniques de production et de sélection de semenc(...)
Mots clés non renseignés
COMMUNICATION
Choix d'un vaccin au Burkina Faso contre le covid- 19 par une méthode d'Aide à la Decision
Sougoursi Jean Yves ZARE , Z𝑜𝚤𝑛𝑎𝑏𝑜 SAVADOGO
Alors que de nombreux pays continuent de lutter contre les nouvelles infections
causées par le coronavirus 2019 (COVID-19), la mise au point d'un vaccin s'est
accélérée afin d'obtenir une immunité contre le virus et de stopper la transmission.
Cependant, certains pays ont encore un faible taux de vaccination notamment les
pays africain(...)
Mots clés non renseignés
ARTICLE
Application of the Some Blaise Abbo (SBA) Method to Solving the Time-fractional Schrödinger Equation and Comparison with the Homotopy Perturbation Method
Joseph Bonazebi Yindoula a, Yanick Alain Servais Wellot a, Bamogo Hamadou, Francis Bassono b and Youssouf Paré
We have solved the Schrödinger equation with the HPM method and the SBA method. We have
noticed that with these two methods we find the same result.
Fractional equation; Some Blaise Abbo (SBA) method; the Homotopy Perturbation Method (HPM); Schrödinger equation; fractional Partial Differential Equations (PDEs)
ARTICLE
Renormalized solutions for a p(⋅)-Laplacian equation with Neumann nonhomogeneous boundary condition involving diffuse measure data and variable exponent
M.B. Benboubker, E. Nassouri, S. Ouaro, U. Traoré
In this paper we prove the existence of at least one renormalized solution for the p(x)-Laplacian equation associated with a maximal monotone operator and Radon measure data. The functional setting involves Sobolev spaces with variable exponent W1,p(⋅)(Ω)
variable exponent; maximal monotone operator; Radon measure; renormalized solution; Neumann boundary conditions
ARTICLE
An Existence Result in alpha-norm for Impulsive Functional Differential Equations with Variable Times
Issa Zabsonre
The dynamics of evolving processes is often subjected to abrupt changes such as shocks, harvesting, and natural
disasters. Often these short-term perturbations are treated as having acted instantaneously or in the form of “impulses.” In fact, there are many processes and phenomena in the real world, which are subjected during their developmen(...)
Mots clés non renseignés
ARTICLE
Numerical analysis of nonlinear parabolic problems with variable exponent and L1data
Stanislas Ouaro, Noufou Rabo, Urbain Traoré
In this paper, we make the numerical analysis of the mild solution which is also an entropy solution of parabolic problem involving the p(x)−Laplacian operator with L^1 data
Elliptic-parabolic, numerical iterative method, variable exponent, mild solution, renor-malized solution
ARTICLE
Numerical analysis of nonlinear elliptic-parabolic problems with variable exponent and L1 data
S. Ouaro, N. Rabo, U. Traoré
In this paper, we make the numerical analysis of the mild solution of elliptic-parabolic problem with variable exponent and L1-data. The functional setting involves Lebesgue and Sobolev spaces with variable exponents
elliptic-parabolic equation; numerical; iterative method; variable exponent; mild solution; renormalized solution
ARTICLE
Indirect boundary stabilization with distributed delay of coupled multi-dimensional wave equations.
Roland Silga, Bila Adolphe Kyelem, Gilbert Bayili
In this article, our main concern is the study of the e ect of a distributed timedelay in boundary stabilization of a strongly coupled multi-dimensional wave equations. We will establish that the system with time-delay inherits the same exponential decay rate from the corresponding one without delay.
distributed delay term, system of wave equations, strong stability, uniform stability.
ARTICLE
Stabilization of the schrödinger equation with distributed delay in boundary feedback
ROLAND SILGA, GILBERT BAYILI AND ISSA ZABSONRE
In this paper, we investigate the effect of a distributed time-delay in boundary stabilization of the Schrödinger equation. Under suitable assumptions, we establish sufficient conditions on the distributed delay term that guarantee the exponential stability of the solution using the frequency domain approach and a duality argument.
Mots clés non renseignés
ARTICLE
Non-local boundary inclusion problem with L1-data and constant exponent
A. KAboré, S. Ouaro
In this work, we study the following elliptic problem −diva(x,∇u)+β(u)∋f in Ω, with non-local boundary conditions. We prove the existence and uniqueness of entropy solution for L1-data f.
entropy solution; non-local boundary conditions; Leray-Lions operator; maximal monotone graph; constant exponent