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Moroccan Journal of Pure and Applied Analysis最新文献

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A Nonlocal Model for Reconstructing Images Corrupted by Cauchy Noise 一种重建柯西噪声图像的非局部模型
Moroccan Journal of Pure and Applied Analysis Pub Date : 2023-01-01 DOI: 10.2478/mjpaa-2023-0003
F. Bendaida
{"title":"A Nonlocal Model for Reconstructing Images Corrupted by Cauchy Noise","authors":"F. Bendaida","doi":"10.2478/mjpaa-2023-0003","DOIUrl":"https://doi.org/10.2478/mjpaa-2023-0003","url":null,"abstract":"Abstract The aim of this paper is to present the mathematical and numerical study of a nonlocal nonlinear model based on the variable exponent p(x)-Laplacian for removing Cauchy noise, which is a type of impulsive and non-Gaussian degradation. The proposed model benefits from the performance of the nonlocal approach to preserve small details and textures, and the efficiency of the variable exponent to reduce the execution time. To demonstrate the reliability of our proposed model, we provide some experimental denoising results and illustrate the comparison with some models from the literature.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"48424936","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Parameters identification for a nonlinear partial differential equation in image denoising 图像去噪中非线性偏微分方程的参数辨识
Moroccan Journal of Pure and Applied Analysis Pub Date : 2023-01-01 DOI: 10.2478/mjpaa-2023-0010
A. E. Mourabit
{"title":"Parameters identification for a nonlinear partial differential equation in image denoising","authors":"A. E. Mourabit","doi":"10.2478/mjpaa-2023-0010","DOIUrl":"https://doi.org/10.2478/mjpaa-2023-0010","url":null,"abstract":"Abstract In this work and in the context of PDE constrained optimization problems, we are interested in identification of a parameter in the diffusion equation proposed in [1]. We propose to identify this parameter automatically by a gradient descent algorithm to improve the restoration of a noisy image. Finally, we give numerical results to illustrate the performance of the automatic selection of this parameter and compare our numerical results with other image denoising approaches or algorithms.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47007283","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Numerical comparison of three a posteriori error estimators for nonconforming finite element method 非协调有限元法三种后验误差估计的数值比较
Moroccan Journal of Pure and Applied Analysis Pub Date : 2023-01-01 DOI: 10.2478/mjpaa-2023-0001
B. Achchab, A. Agouzal, K. Bouihat, A. Majdoubi
{"title":"Numerical comparison of three a posteriori error estimators for nonconforming finite element method","authors":"B. Achchab, A. Agouzal, K. Bouihat, A. Majdoubi","doi":"10.2478/mjpaa-2023-0001","DOIUrl":"https://doi.org/10.2478/mjpaa-2023-0001","url":null,"abstract":"Abstract In this paper, we propose to compare three a posteriori error estimators namely equilibrated, star-based and residual based for the Poisson problem and the Stokes problem with lowest-order Crouzeix-Raviart finite element discretization. The numerical results are presented to compare the performance of the three estimators in an adaptive refinement strategy.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46939497","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Fractional optimal control problem for a mathematical modeling of African swine fever virus transmission 非洲猪瘟病毒传播数学模型的分数阶最优控制问题
Moroccan Journal of Pure and Applied Analysis Pub Date : 2023-01-01 DOI: 10.2478/mjpaa-2023-0007
A. Kouidere, O. Balatif, M. Rachik
{"title":"Fractional optimal control problem for a mathematical modeling of African swine fever virus transmission","authors":"A. Kouidere, O. Balatif, M. Rachik","doi":"10.2478/mjpaa-2023-0007","DOIUrl":"https://doi.org/10.2478/mjpaa-2023-0007","url":null,"abstract":"Abstract To have a more realistic model, in this paper, This manuscript is devoted to investigating a fractional-order mathematical model of Kouidere et al. That describes the dynamics of spread of African swine fever virus (ASFV). The aim of this work is to protect susceptible pigs from the virus, In our model, by including three controls which represent: the iron fencing and spraying pesticides and get rid. The aims of this paper is to reduce the number of infected pigs and ticks by using optimal control strategy and fractinal order derivation. Pontryagin’s maximal principle is used to describe optimal controls with Caputo time-fractional derivative and the optimal system is resolved in an iterative manner. Numerical simulations are presented based on the presented method. We finished tis article with a conclusion.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"69233473","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
About the valuation of American option under Black-Scholes model : a numerical study 关于Black-Scholes模型下美式期权价值的数值研究
Moroccan Journal of Pure and Applied Analysis Pub Date : 2023-01-01 DOI: 10.2478/mjpaa-2023-0005
R. Malek
{"title":"About the valuation of American option under Black-Scholes model : a numerical study","authors":"R. Malek","doi":"10.2478/mjpaa-2023-0005","DOIUrl":"https://doi.org/10.2478/mjpaa-2023-0005","url":null,"abstract":"Abstract In the history of option pricing, Black-Scholes model is one of the most significant models. In this paper, we present a new numerical strategy for valuing American option pricing problems governed by Black-Scholes model (BSM). Numerical computations are carried out to show the efficiency and robustness of the proposed method. We compare our numerical solution with the ones based on Finite Element Method (FEM) and the Enriched Finite Element Method (PUFEM). Our result shows the efficiency of the proposed strategy. In addition, that approach can be used to treat nonlinear evolutionary problems.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"42774876","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence of solutions for 4p-order PDES with Neumann boundary conditions 具有Neumann边界条件的4p阶PDES解的存在性
Moroccan Journal of Pure and Applied Analysis Pub Date : 2023-01-01 DOI: 10.2478/mjpaa-2023-0004
N. Moradi, F. Moradi, S. E. Habib, M. Addam
{"title":"Existence of solutions for 4p-order PDES with Neumann boundary conditions","authors":"N. Moradi, F. Moradi, S. E. Habib, M. Addam","doi":"10.2478/mjpaa-2023-0004","DOIUrl":"https://doi.org/10.2478/mjpaa-2023-0004","url":null,"abstract":"Abstract In this work, we study the existence of at least one non decreasing sequence of nonnegative eigenvalues for the problem: { Δ2pu=λm(x)u   in   Ω,∂u∂v=∂(Δu)∂v=…=∂(Δ2p-1u)∂v=0   on   ∂Ω. left{ {matrix{ {{Delta ^{2p}}u = lambda mleft( x right)u,,,in,,,Omega ,} cr {{{partial u} over {partial v}} = {{partial left( {Delta u} right)} over {partial v}} = ldots = {{partial left( {{Delta ^{2p - 1}}u} right)} over {partial v}} = 0,,,on,,,partial Omega .} cr } } right. Where Ω is a bounded domain in ℝN with smooth boundary ∂ Ω, p ∈ ℕ*, m ∈ L∞ (Ω), and Δ2pu := Δ (Δ...( Δu)), 2p times the operator Δ.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44640896","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Stochastic Pareto diffusion process : Statistical analysis and computational issues. Simulation and Application 随机帕累托扩散过程:统计分析和计算问题。仿真与应用
Moroccan Journal of Pure and Applied Analysis Pub Date : 2023-01-01 DOI: 10.2478/mjpaa-2023-0009
Ahmed Nafidi, Ilyasse Makroz, B. Achchab, R. Gutiérrez-Sánchez
{"title":"Stochastic Pareto diffusion process : Statistical analysis and computational issues. Simulation and Application","authors":"Ahmed Nafidi, Ilyasse Makroz, B. Achchab, R. Gutiérrez-Sánchez","doi":"10.2478/mjpaa-2023-0009","DOIUrl":"https://doi.org/10.2478/mjpaa-2023-0009","url":null,"abstract":"Abstract We propose a novel diffusion process having a mean function equal to the Pareto probability density function up to a constant of proportionality. We examine the probabilistic properties of the proposed model. Then, referring to the problem of statistical inference, we describe the approach employed to tackle the issue of obtaining parameter estimates by maximizing the likelihood function based on discrete sampling. This estimation reduces to solving a set of complex equations, that is accomplished using the simulated annealing algorithm. A simulation study is also given to validate the methodology presented. Finally, using a real-world example of the Moroccan child mortality rate, we obtain the fits and forecasts by employing the suggested stochastic process and nonlinear regression model.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"44975151","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Cyclicity in de Branges–Rovnyak spaces De Branges–Rovnyak空间的自行车
Moroccan Journal of Pure and Applied Analysis Pub Date : 2022-10-27 DOI: 10.2478/mjpaa-2023-0016
E. Fricain, S. Grivaux
{"title":"Cyclicity in de Branges–Rovnyak spaces","authors":"E. Fricain, S. Grivaux","doi":"10.2478/mjpaa-2023-0016","DOIUrl":"https://doi.org/10.2478/mjpaa-2023-0016","url":null,"abstract":"Abstract In this paper, we study the cyclicity problem with respect to the forward shift operator Sb acting on the de Branges–Rovnyak space ℋ (b) associated to a function b in the closed unit ball of H∞ and satisfying log(1− |b| ∈ L1(𝕋). We present a characterisation of cyclic vectors for Sb when b is a rational function which is not a finite Blaschke product. This characterisation can be derived from the description, given in [22], of invariant subspaces of Sb in this case, but we provide here an elementary proof. We also study the situation where b has the form b = (1+ I)/2, where I is a non-constant inner function such that the associated model space KI = ℋ (I) has an orthonormal basis of reproducing kernels.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-10-27","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"46379369","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Limit points for descent spectrum of operator matrices 算子矩阵下降谱的极限点
Moroccan Journal of Pure and Applied Analysis Pub Date : 2022-09-01 DOI: 10.2478/mjpaa-2022-0024
H. Boua, M. Karmouni, A. Tajmouati
{"title":"Limit points for descent spectrum of operator matrices","authors":"H. Boua, M. Karmouni, A. Tajmouati","doi":"10.2478/mjpaa-2022-0024","DOIUrl":"https://doi.org/10.2478/mjpaa-2022-0024","url":null,"abstract":"Abstract In this paper, we investigate the limit points set of descent spectrum of upper triangular operator matrices MC=(AC0B) {M_C} = left( {matrix{A hfill & C hfill cr 0 hfill & B hfill cr } } right) . We prove that acc(σdes(MC)) ∪ Waccσdes = acc(σdes(A)) ∪ acc(σdes(B)) where Waccσdes is the union of certain holes in acc(σdes(MC)), which happen to be subsets of acc(σasc(B)) ∩ acc(σdes(A)). Furthermore, several sufficient conditions for acc(σdes(MC)) = acc(σdes(A)) ∪ acc(σdes(B)) holds for every C ∈ ℬ(Y, X) are given.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47523801","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 0
Existence and Regularity for Solution to a Degenerate Problem with Singular Gradient Lower Order Term 一类具有奇异梯度低阶项的退化问题解的存在性与正则性
Moroccan Journal of Pure and Applied Analysis Pub Date : 2022-09-01 DOI: 10.2478/mjpaa-2022-0022
H. Khelifi
{"title":"Existence and Regularity for Solution to a Degenerate Problem with Singular Gradient Lower Order Term","authors":"H. Khelifi","doi":"10.2478/mjpaa-2022-0022","DOIUrl":"https://doi.org/10.2478/mjpaa-2022-0022","url":null,"abstract":"Abstract We study the existence and regularity results for non-linear elliptic equation with degenerate coercivity and a singular gradient lower order term. The model problems is { -div(b(x)| ∇u |p-2∇u(1+| u |)γ)+| ∇u |p| u |θ=f,in Ω,u=0,on ∂Ω, left{ {matrix{ { - divleft( {bleft( x right){{{{left| {nabla u} right|}^{p - 2}}nabla u} over {left( {1 + left| u right|} right)gamma }}} right) + {{{{left| {nabla u} right|}^p}} over {{{left| u right|}^theta }}} = f,} hfill & {in,Omega ,} hfill cr {u = 0,} hfill & {on,partial Omega ,} hfill cr } } right. swhere Ω is a bounded open subset in ℝN, 1 ≤ θ < 2, p > 2 and γ > 0. We will show that, even if the lower order term is singular, we obtain existence and regularity of positive solution, under various assumptions on the summability of the source f.","PeriodicalId":36270,"journal":{"name":"Moroccan Journal of Pure and Applied Analysis","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2022-09-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"47857091","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}
引用次数: 4
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