Publications (468)
ARTICLE
SOLVING THE STANDARD TELEGRAPH EQUATION WITH A FRACTIONAL-ORDER DERIVATIVE TERM USING THE LAPLACE-ADOMIAN METHOD
MINOUNGOU Youssouf, BAGAYOGO Moussa, NEBIE Abdoul Wassiha, PARE Youssouf
In this article, we study the solution of the standard telegraph equation with a fractional derivative term by the Laplace-Adomian method. For this purpose, we establish the convergence of the Laplace-Adomian algorithm applied to the solution of the standard telegraph equation with a fractional-order derivative term, and propose the solution o(...)
telegraph equation, Laplace transform, Mittag Leffler function, Laplace-Adomian method.
ARTICLE
COPULAS AND EVALUATION OF TVaR RISK MEASUREMENT AND TVaR-BASED CAPITAL ALLOCATION IN A CONTEXT OF TAIL DEPENDENCY
Kiswendsida Mahamoudou OUEDRAOGO, Abdoul Karim DRABO, Delwendé Abdoul-Kabir KAFANDO and S. Pierre Clovis NITIEMA
In this paper, we construct an extension of Spearman’s copula and
evaluate the risk measure TVaR (Tail Value at Risk) and the TVaRbased capital allocation for an insurance portfolio whose risks
maintain a tail-dependency relationship via this new copula. Assuming
that the portfolio comprises two lines of business whose risks are
identicall(...)
copula, tail dependency, TVaR risk measure, capital allocation.
ARTICLE
Applications of stable cellular automata on Sturmian words
Moussa Barro, K. Ernest Bognini and Boucaré Kientéga
In this paper, we generalize the study of some class of cellular automata (CA) preserving stability, called stable cellular automata (SCA) on Sturmian words. After establishing the classic complexity of obtained words by these SCA, their special factors are also specified. Next, we prove that their palindromic complexity is 1 or 2. Finally, we(...)
Stable Cellular Automata(SCA), Strumian words, Complexity, special factor
ARTICLE
Optimal Control Approaches for a Fourth-Order Parabolic Operator: Least-Regrets Strategies
OUEDRAOGO Élie; Bylli André Guel; Sadou Tao.
This paper deals with the control of a nonlinear ill-posed fourth-order parabolic system. To do this, we approach the
initial system by a regularize one, which requires the introduction of a pollution term, since the initial problem is with
missing data. An approach that naturally calls for the use of the notions of least-regret control. Mor(...)
Adapted Least-regrets Control, Nonlinear Analysis, Optimal Control, Singular Optimality System, No-regret Control
ARTICLE
Implementation of the New Metric Procedure of Multidecisions Makers Choice for Use in Large-scale Voting Cases
Zoïnabo Savadogo & Rasmané Pagbelguem
Abstract:
The problem of aggregating group preferences into a collective or consensual
preference has been tackled since the 18th century by Borda and Condorcet. Since
then, several authors have proposed aggregation methods based on social choice
theory and metric procedures. However, the use of these metric procedures in
decision-ma(...)
Social choice theory, Social choice function, Algorithm, Implementation
ARTICLE
Square-Mean Pseudo Almost Periodic Solutions of Infinite Class in the α -Norm under the Light of Measure Theory
Djendode Mbainadji, Teubé Cyrille Mbainaissem, Issa Zabsonre
This work concerns the existence and uniqueness of square-mean pseudo almost periodic solutions of infinite class in the α -norm. The results are obtained using analytic semigroup, fractional α -power theory and by making use of Banach fixed point theory. As result, we obtain a generalization of the work of Zabsonre et al. [Partial Differenti(...)
measure theory; ergodicity; (μ, ν)-pseudo almost automorphic function; evolution equations; partial functional differential equations; Stochastic processes; stochastic evolution equations.
ARTICLE
Numerical Resolution of the Hepatitis C Model Using the SOME Blaise ABBO Numerical Method
Bamogo Hamadou, Kamaté Adama, Traoré André a and Francis Bassono
We have described a model of hepatitis C (HCV). It is a system of nonlinear fractional differential equations. We studied
convergence and then used the SOME Blaise ABBO (SBA) method to successfully apply to this system
Fractional equation system; SBA method; EDO
ARTICLE
NONLOCAL DISCRETE PROBLEM INVOLVING THE ANISOTROPIC p(k)-CAPILLARITY DIFFERENTIAL OPERATOR
Ismaël Nyanquini, Brahim Moussa, Stanislas Ouaro
In this paper, we investigate the existence and multiplicity of so- lutions for a class of nonlocal discrete problems governed by a p(k)-capillarity differential operator in a T -dimensional Banach space. Our technical approach is based on a minimization method combined with adequate variational tech- niques, particularly the mountain pass the(...)
Kirchhoff type equation, nonlocal discrete problem, p(k)-capillarity differential operator, boundary value problem, multiple solutions, mountain pass theorem, (S+) mapping theory
ARTICLE
Improvement of Multi-criteria Evaluation Tools by AHP-ELECTRE II Hybridization: Application to Drilling
Ouédraogo Naboinswendé Macaire, Savadogo Zoïnabo, Gouba Elisée
Elimination and Reality Choices (ELECTRE II) and Hierarchical Decision Process Analysis (HDPA) methods are widely used in decision support. Although they are effective in many cases, they are not without their limitations. The AHP method is sometimes considered to be compensatory. As for the ELECTRE II method, it lacks rigorous tools for setti(...)
Multi-criteria decision, ELECTRE II, modelling, AHP, Decision Maker, hybridisation.
ARTICLE
Exploring the epidemiological impact of Pneumonia–Listeriosis co-infection in the human population: a modeling and optimal control study
Chidozie Williams Chukwu, Stéphane Yanick Tchoumi, Ousmane Koutou, Faishal Farrel Herdicho, Fatmawati
Pneumonia and Listeriosis are significant public health concerns, both individually and as co-infections, particularly in
vulnerable populations such as the elderly, immunocompromised individuals, and infants. Using a mathematical modeling
approach, this study explores the epidemiological impact of Pneumonia–Listeriosis co-infection within h(...)
Listeriosis/Pneumonia, Sensitivity analysis, Simulations, Co-infection modeling
ARTICLE
Rational stabilization of the multidimensional wave equation with dynamical control and time-varying delay
Désiré SABA, Innocent OUEDRAOGO, Gilbert BAYILI
We consider the multidimensional 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. Using direct computations, through the multiplier method, the rational energy decay rate of the system will be give(...)
Dynamical control, wave equation, stability, time varying delay
ARTICLE
Evaluating Convergence Rates in Particle Swarm Optimization: Insights from Gradient-Perturbation and Dual-Binary Approaches
Ywo Josue BAZIE, A Drabo, Abel ZONGO, Clovis NITIEMA
This paper investigates the convergence properties of two Particle Swarm Optimization (PSO) algorithms:
the Gradient-Perturbation PSO and the Dual-Binary PSO. We introduce a novel evaluation criterion that
quantifies the rate of convergence using a stochastic dynamic averaging approach, enabling a more precise
analysis of the algorithms’ pe(...)
Approximation; stochastic modelling; gradient perturbation; optimization.
ARTICLE
Application of a new approach to the Adomian method to the solution of fractional-order integro-differential equations
Traoré André , Bationo Jeremie Yiyureboula a and Francis Bassono
In this paper we solve fractional order integro-differential equations of Fredholm type and Volterra type. For the solution
we use a new Adomian decompositional method.
In the first part we give the basic notions on fractional operators, essential to our work. The second part is devoted to
the description and convergence of the method. In t(...)
Volterra; fractional operators; integro- differential equations; fredholm
ARTICLE
Numerical analysis of a quasilinear parabolic problem with variable exponent
N. Rabo, U. Traoré, S. Ouaro
This paper deals with the numerical approximation of the mild solution of a quasilinear parabolic equation with variable exponent. Under some conditions, it is shown that the mild solution is a weak solution. Numerical tests are performed using the split Bregman method. The functional setting involves Lebesgue and Sobolev spaces with variable(...)
Leray-Lions operator with variable exponent; parabolic equation; numerical; iterative method; mild solution
ARTICLE
Implementation of a Voting Method Based on Mean-Deviation Evaluation for a Large-Scale Election
Hadarou Yiogo, Zoïnabo Savadogo
Today, many countries around the world, particularly in Africa, are experiencing post-election difficulties due to unexpected
election results. This sometimes provokes protests and revolt among the population. To overcome this major problem, several
voting systems have been developed in the literature, but some of them are not lacking in s(...)
Implementation, Voting Method, Mean- Deviation, Election