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Modified projective synchronization of fractional-order hyperchaotic memristor-based Chua’s circuit 基于分数阶超混沌记忆电阻蔡氏电路的改进投影同步
Journal of Innovative Applied Mathematics and Computational Sciences Pub Date : 2022-12-31 DOI: 10.58205/jiamcs.v2i3.25
Nadjet Boudjerida, Mohammed Salah Abdelouahab, R. Lozi
{"title":"Modified projective synchronization of fractional-order hyperchaotic memristor-based Chua’s circuit","authors":"Nadjet Boudjerida, Mohammed Salah Abdelouahab, R. Lozi","doi":"10.58205/jiamcs.v2i3.25","DOIUrl":"https://doi.org/10.58205/jiamcs.v2i3.25","url":null,"abstract":"This paper investigates the modified projective synchronization (MPS) between two hyperchaotic memristor-based Chua circuits modeled by two nonlinear integer-order and fractional-order systems. First, a hyperchaotic memristor-based Chua circuit is suggested, and its dynamics are explored using different tools, including stability theory, phase portraits, Lyapunov exponents, and bifurcation diagrams. Another interesting property of this circuit was the coexistence of attractors and the appearance of mixed-mode oscillations. It has been shown that one can achieve MPS with integer-order and incommensurate fractional-order memristor-based Chua circuits. Finally, examples of numerical simulation are presented, showing that the theoretical results are in good agreement with the numerical ones.","PeriodicalId":289834,"journal":{"name":"Journal of Innovative Applied Mathematics and Computational Sciences","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114883080","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: 2
Effect of dispersal in two-patch environment with Richards growth on population dynamics 理查兹生长双斑块环境中分散对种群动态的影响
Journal of Innovative Applied Mathematics and Computational Sciences Pub Date : 2022-12-18 DOI: 10.58205/jiamcs.v2i3.47
Bilel Elbetch
{"title":"Effect of dispersal in two-patch environment with Richards growth on population dynamics","authors":"Bilel Elbetch","doi":"10.58205/jiamcs.v2i3.47","DOIUrl":"https://doi.org/10.58205/jiamcs.v2i3.47","url":null,"abstract":"In this paper, we consider a two-patch model coupled by migration terms, where each patch follows a Richards law. First, we prove the global stability of the model. Second, in the case when the migration rate tends to infinity, the total carrying capacity is given, which in general is different from the sum of the two carrying capacities and depends on the parameters of the growth rate and also on the migration terms. Using the theory of singular perturbations, we give an approximation of the solutions of the system in this case. Finally, we determine the conditions under which fragmentation and migration can lead to a total equilibrium population which might be greater or smaller than the sum of two carrying capacities and we give a complete classification for all possible cases. The total equilibrium population formula for a large migration rate plays an important role in this classification. We show that this choice of local dynamics has an influence on the effect of dispersal. Comparing the dynamics of the total equilibrium population as a function of the migration rate with that of the logistic model, we obtain the same behavior. In particular, we have only three situations that the total equilibrium population can occur: it is always greater than the sum of two carrying capacities, always smaller, and a third case, where the effect of dispersal is beneficial for lower values of the migration rate and detrimental for the higher values. We end by examining the two-patch model where one growth rate is much larger than the second one, we compare the total equilibrium population with the sum of the two carrying capacities.","PeriodicalId":289834,"journal":{"name":"Journal of Innovative Applied Mathematics and Computational Sciences","volume":"15 3","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"120923472","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: 1
Generalized contraction theorem in M -fuzzy cone metric spaces M -模糊锥度量空间中的广义收缩定理
Journal of Innovative Applied Mathematics and Computational Sciences Pub Date : 2022-12-17 DOI: 10.58205/jiamcs.v2i3.48
M. Suganthi, M. Jeyaraman, Avulichikkanan Ramachandran
{"title":"Generalized contraction theorem in M -fuzzy cone metric spaces","authors":"M. Suganthi, M. Jeyaraman, Avulichikkanan Ramachandran","doi":"10.58205/jiamcs.v2i3.48","DOIUrl":"https://doi.org/10.58205/jiamcs.v2i3.48","url":null,"abstract":"This work defines MM-Fuzzy Cone Metric Space, as a new metric space. It also analyzes possible forms of contractive conditions and groups them accordingly to set up generalized contractive conditions for self-mappings defined over MM-fuzzy cone metric spaces. We prove the existence of fixed points of these mappings and exhibit the same through a suitable example.","PeriodicalId":289834,"journal":{"name":"Journal of Innovative Applied Mathematics and Computational Sciences","volume":"86 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-17","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"133306253","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
An approximate solution for the time-fractional diffusion equation 时间分数扩散方程的近似解
Journal of Innovative Applied Mathematics and Computational Sciences Pub Date : 2022-12-15 DOI: 10.58205/jiamcs.v2i3.46
Sayed Ali Mosavi
{"title":"An approximate solution for the time-fractional diffusion equation","authors":"Sayed Ali Mosavi","doi":"10.58205/jiamcs.v2i3.46","DOIUrl":"https://doi.org/10.58205/jiamcs.v2i3.46","url":null,"abstract":"In this paper, a numerical method based on a finite difference scheme is proposed for solving the time-fractional diffusion equation (TFDE). The TFDE is obtained from the standard diffusion equation by replacing the first-order time derivative with Caputo fractional derivative. At first, we introduce a time discrete scheme. Then, we prove the proposed method is unconditionally stable and the approximate solution converges to the exact solution with order O(Δt2−α)O(Δt2−α), where ΔtΔt is the time step size and αα is the order of Caputo derivative. Finally, some examples are presented to verify the order of convergence and show the application of the present method.","PeriodicalId":289834,"journal":{"name":"Journal of Innovative Applied Mathematics and Computational Sciences","volume":"2 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129592896","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
Non-polynomial fractional spline method for solving Fredholm integral equations 求解Fredholm积分方程的非多项式分数样条法
Journal of Innovative Applied Mathematics and Computational Sciences Pub Date : 2022-12-14 DOI: 10.58205/jiamcs.v2i3.51
Rahel Jaza, F. Hamasalh
{"title":"Non-polynomial fractional spline method for solving Fredholm integral equations","authors":"Rahel Jaza, F. Hamasalh","doi":"10.58205/jiamcs.v2i3.51","DOIUrl":"https://doi.org/10.58205/jiamcs.v2i3.51","url":null,"abstract":" A new type of non-polynomial fractional spline function for approximating solutions of Fredholm-integral equations has been presented. For this purpose, we used a new idea of fractional continuity conditions by using the Caputo fractional derivative and the Riemann Liouville fractional integration to generate fractional spline derivatives. Moreover, the convergence analysis is studied with proven theorems. The approach is also well-explained and supported by four computational numerical findings, which show that it is both accurate and simple to apply.","PeriodicalId":289834,"journal":{"name":"Journal of Innovative Applied Mathematics and Computational Sciences","volume":"7 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-12-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122164665","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
Results in semi-E-convex functions 半e -凸函数的结果
Journal of Innovative Applied Mathematics and Computational Sciences Pub Date : 2022-09-10 DOI: 10.58205/jiamcs.v2i2.18
Ayache Benhadid
{"title":"Results in semi-E-convex functions","authors":"Ayache Benhadid","doi":"10.58205/jiamcs.v2i2.18","DOIUrl":"https://doi.org/10.58205/jiamcs.v2i2.18","url":null,"abstract":"The concept of convexity and its various generalizations is important for quantitative and qualitative studies in operations research or applied mathematics. Recently, E-convex sets and functions were introduced with important implications across numerous branches of mathematics. By relaxing the definition of convex sets and functions, a new concept of semi-EE-convex functions was introduced, and its properties are discussed. It has been demonstrated that if a function f:M→Rf:M→R is semi-EE-convex on an EE-convex set M⊂RnM⊂Rn then, f(E(x))≤f(x)f(E(x))≤f(x) for each x∈Mx∈M. This article discusses the inverse of this proposition and presents some results for convex functions.","PeriodicalId":289834,"journal":{"name":"Journal of Innovative Applied Mathematics and Computational Sciences","volume":"62 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"114706851","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
adaptive gamma-BSPE kernel density estimation for nonnegative heavy-tailed data 非负重尾数据的自适应伽玛- bspe核密度估计
Journal of Innovative Applied Mathematics and Computational Sciences Pub Date : 2022-09-05 DOI: 10.58205/jiamcs.v2i2.32
Y. Ziane, N. Zougab, S. Adjabi
{"title":"adaptive gamma-BSPE kernel density estimation for nonnegative heavy-tailed data","authors":"Y. Ziane, N. Zougab, S. Adjabi","doi":"10.58205/jiamcs.v2i2.32","DOIUrl":"https://doi.org/10.58205/jiamcs.v2i2.32","url":null,"abstract":"In this work, we consider the nonparametric estimation of the probability density function for nonnegative heavy-tailed (HT) data. The objective is first to propose a new estimator that will combine two regions of observations (high and low density). While associating a gamma kernel to the high-density region and a BS-PE kernel to the low-density region. Then, to compare the proposed estimator with the classical estimator in order to evaluate its performance. The choice of bandwidth is investigated by adopting the popular cross-validation technique and two variants of the Bayesian approach. Finally, the performances of the proposed and the classical estimators are illustrated by a simulation study and real data.","PeriodicalId":289834,"journal":{"name":"Journal of Innovative Applied Mathematics and Computational Sciences","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-09-05","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"128686301","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
Uniqueness and stability of parameter identification in elliptic boundary value problem 椭圆型边值问题参数辨识的唯一性与稳定性
Journal of Innovative Applied Mathematics and Computational Sciences Pub Date : 2022-08-31 DOI: 10.58205/jiamcs.v2i2.31
Abir Benyoucef, L. Alem, L. Chorfi
{"title":"Uniqueness and stability of parameter identification in elliptic boundary value problem","authors":"Abir Benyoucef, L. Alem, L. Chorfi","doi":"10.58205/jiamcs.v2i2.31","DOIUrl":"https://doi.org/10.58205/jiamcs.v2i2.31","url":null,"abstract":"This paper concerns the uniqueness and stability of an inverse problemin PDE. Our problem consists of identifying two parameters b(x)b(x) and c(x)c(x) in the following boundary-value problem\u0000{Lu:=−b(x)u′′(x)+c(x)u′(x)=f(x),u(0)=u(1)=0,{Lu:=−b(x)u″(x)+c(x)u′(x)=f(x),u(0)=u(1)=0,\u0000from distributed observations u1u1 (resp. u2u2) associated with the source f1f1 (resp. f2f2). For one observation, the solution is not unique. However, we prove, under some conditions, the uniqueness of the solution p=(b,c)p=(b,c) in the case of two observations. Furthermore, we derive a H\"older-type stability result. The algorithm of reconstruction uses the least squares method. Finally, we present some numerical examples with exact and noisy data to illustrate our method.","PeriodicalId":289834,"journal":{"name":"Journal of Innovative Applied Mathematics and Computational Sciences","volume":"10 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-31","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"122703334","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, uniqueness and stability of solutions to a delay hematopoiesis model 一类延迟造血模型解的存在唯一性和稳定性
Journal of Innovative Applied Mathematics and Computational Sciences Pub Date : 2022-08-29 DOI: 10.58205/jiamcs.v2i2.21
Ahlème Bouakkaz, R. Khemis
{"title":"Existence, uniqueness and stability of solutions to a delay hematopoiesis model","authors":"Ahlème Bouakkaz, R. Khemis","doi":"10.58205/jiamcs.v2i2.21","DOIUrl":"https://doi.org/10.58205/jiamcs.v2i2.21","url":null,"abstract":"This work aims to investigate a delay hematopoiesis model where the delay depends on both the time and the current density of mature blood cells. Based on the Banach contraction principle, the Schauder's fixed point theorem and some properties of a Green's function, we establish several interesting existence and uniqueness results of positive periodic solutions for the proposed model. The derived results are new and generalize some previous studies.","PeriodicalId":289834,"journal":{"name":"Journal of Innovative Applied Mathematics and Computational Sciences","volume":"14 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"131756206","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
Probability tail for linearly negative quadrant dependent random variables of partial sums and application to linear model 部分和线性负象限相关随机变量的概率尾及其在线性模型中的应用
Journal of Innovative Applied Mathematics and Computational Sciences Pub Date : 2022-08-14 DOI: 10.58205/jiamcs.v2i2.26
Zoubeyr Kaddour, Abderrahmane Belguerna, S. Benaissa
{"title":"Probability tail for linearly negative quadrant dependent random variables of partial sums and application to linear model","authors":"Zoubeyr Kaddour, Abderrahmane Belguerna, S. Benaissa","doi":"10.58205/jiamcs.v2i2.26","DOIUrl":"https://doi.org/10.58205/jiamcs.v2i2.26","url":null,"abstract":"In this paper, we establish a new concentration inequality and complete convergence of weighted sums for arrays of rowwise linearly negative quadrant dependent (LNQD, in short) random variables and obtain a result dealing with complete convergence of first-order autoregressive processes with identically distributed LNQD innovations.","PeriodicalId":289834,"journal":{"name":"Journal of Innovative Applied Mathematics and Computational Sciences","volume":"1 1","pages":"0"},"PeriodicalIF":0.0,"publicationDate":"2022-08-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"129510951","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
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