Advances in continuous and discrete models最新文献_第8页

Partial asymptotic stability of neutral pantograph stochastic differential equations with Markovian switching 具有马尔可夫切换的中性受电弓随机微分方程的部分渐近稳定性

Advances in continuous and discrete models Pub Date : 2022-02-25 DOI: 10.1186/s13662-022-03692-x

Lassaad Mchiri, T. Caraballo, Mohamed Rhaima

引用次数: 2

Geometric properties of the meromorphic functions class through special functions associated with a linear operator 通过与线性算子相关的特殊函数研究亚纯函数类的几何性质

Advances in continuous and discrete models Pub Date : 2022-02-19 DOI: 10.1186/s13662-022-03691-y

F. Ghanim, H. Al‐Janaby, O. Bazighifan

引用次数: 5

The Lax pair structure for the spin Benjamin–Ono equation 自旋Benjamin-Ono方程的Lax对结构

Advances in continuous and discrete models Pub Date : 2022-02-16 DOI: 10.1186/s13662-023-03768-2

P. G'erard

引用次数: 5

Analytical analysis of fractional-order sequential hybrid system with numerical application 分数阶序列混合系统的解析分析及其数值应用

Advances in continuous and discrete models Pub Date : 2022-02-02 DOI: 10.1186/s13662-022-03685-w

Aziz Khan, Z. Khan, T. Abdeljawad, H. Khan

引用次数: 20

Application of Legendre polynomials based neural networks for the analysis of heat and mass transfer of a non-Newtonian fluid in a porous channel 基于勒让德多项式的神经网络在多孔通道中非牛顿流体传热传质分析中的应用

Advances in continuous and discrete models Pub Date : 2022-01-22 DOI: 10.1186/s13662-022-03676-x

N. A. Khan, M. Sulaiman, P. Kumam, F. Alarfaj

引用次数: 7

Stochastic optimal control with random coefficients and associated stochastic Hamilton–Jacobi–Bellman equations 随机系数随机最优控制及相关随机Hamilton-Jacobi-Bellman方程

Advances in continuous and discrete models Pub Date : 2022-01-14 DOI: 10.1186/s13662-021-03674-5

Jun Moon

引用次数: 0

A noninteger order SEITR dynamical model for TB. TB的非整数阶SEITR动态模型。

IF 2.3

Advances in continuous and discrete models Pub Date : 2022-01-01 Epub Date: 2022-03-26 DOI: 10.1186/s13662-022-03700-0

Jitendra Panchal, Falguni Acharya, Kanan Joshi

{"title":"A noninteger order SEITR dynamical model for TB.","authors":"Jitendra Panchal, Falguni Acharya, Kanan Joshi","doi":"10.1186/s13662-022-03700-0","DOIUrl":"10.1186/s13662-022-03700-0","url":null,"abstract":"This research paper designs the noninteger order SEITR dynamical model in the Caputo sense for tuberculosis. The authors of the article have classified the infection compartment into four different compartments such as newly infected unrecognized individuals, diagnosed patients, highly infected patients, and patients with delays in treatment which provide better detail of the TB infection dynamic. We estimate the model parameters using the least square curve fitting and demonstrate that the proposed model provides a good fit to tuberculosis confirmed cases of India from the year 2000 to 2020. Further, we compute the basic reproduction number as <math><msub><mi>ℜ</mi> <mn>0</mn></msub> <mo>≈</mo> <mn>1.73</mn></math> of the model using the next-generation matrix method and the model equilibria. The existence and uniqueness of the approximate solution for the SEITR model is validated using the generalized Adams-Bashforth-Moulton method. The graphical representation of the fractional order model is given to validate the result using the numerical simulation. We conclude that the fractional order model is more realistic than the classical integer order model and provide more detailed information about the real data of the TB disease dynamics.","PeriodicalId":72091,"journal":{"name":"Advances in continuous and discrete models","volume":"2022 1","pages":"27"},"PeriodicalIF":2.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8959566/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65777671","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

A fast continuous time approach with time scaling for nonsmooth convex optimization. 非光滑凸优化的快速连续时间方法。

Advances in continuous and discrete models Pub Date : 2022-01-01 DOI: 10.1186/s13662-022-03744-2

Radu Ioan Boţ, Mikhail A Karapetyants

引用次数: 4

A new mathematical model of multi-faced COVID-19 formulated by fractional derivative chains. 利用分数导数链建立的多面 COVID-19 新数学模型。

IF 2.3

Advances in continuous and discrete models Pub Date : 2022-01-01 Epub Date: 2022-01-21 DOI: 10.1186/s13662-022-03677-w

Ibtisam Aldawish, Rabha W Ibrahim

{"title":"A new mathematical model of multi-faced COVID-19 formulated by fractional derivative chains.","authors":"Ibtisam Aldawish, Rabha W Ibrahim","doi":"10.1186/s13662-022-03677-w","DOIUrl":"10.1186/s13662-022-03677-w","url":null,"abstract":"It has been reported that there are seven different types of coronaviruses realized by individuals, containing those responsible for the SARS, MERS, and COVID-19 epidemics. Nowadays, numerous designs of COVID-19 are investigated using different operators of fractional calculus. Most of these mathematical models describe only one type of COVID-19 (infected and asymptomatic). In this study, we aim to present an altered growth of two or more types of COVID-19. Our technique is based on the ABC-fractional derivative operator. We investigate a system of coupled differential equations, which contains the dynamics of the diffusion between infected and asymptomatic people. The consequence is accordingly connected with a macroscopic rule for the individuals. In this analysis, we utilize the concept of a fractional chain. This type of chain is a fractional differential-difference equation combining continuous and discrete variables. The existence of solutions is recognized by formulating a matrix theory. The solution of the approximated system is shown to have a minimax point at the origin.","PeriodicalId":72091,"journal":{"name":"Advances in continuous and discrete models","volume":"2022 1","pages":"6"},"PeriodicalIF":2.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC8777456/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"65777104","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0

Effects of greenhouse gases and hypoxia on the population of aquatic species: a fractional mathematical model. 温室气体和缺氧对水生物种数量的影响：分数数学模型。

IF 2.3

Advances in continuous and discrete models Pub Date : 2022-01-01 Epub Date: 2022-04-15 DOI: 10.1186/s13662-022-03679-8

Pushpendra Kumar, V Govindaraj, Vedat Suat Erturk, Mohamed S Mohamed

{"title":"Effects of greenhouse gases and hypoxia on the population of aquatic species: a fractional mathematical model.","authors":"Pushpendra Kumar, V Govindaraj, Vedat Suat Erturk, Mohamed S Mohamed","doi":"10.1186/s13662-022-03679-8","DOIUrl":"10.1186/s13662-022-03679-8","url":null,"abstract":"Study of ecosystems has always been an interesting topic in the view of real-world dynamics. In this paper, we propose a fractional-order nonlinear mathematical model to describe the prelude of deteriorating quality of water cause of greenhouse gases on the population of aquatic animals. In the proposed system, we recall that greenhouse gases raise the temperature of water, and because of this reason, the dissolved oxygen level goes down, and also the rate of circulation of disintegrated oxygen by the aquatic animals rises, which causes a decrement in the density of aquatic species. We use a generalized form of the Caputo fractional derivative to describe the dynamics of the proposed problem. We also investigate equilibrium points of the given fractional-order model and discuss the asymptotic stability of the equilibria of the proposed autonomous model. We recall some important results to prove the existence of a unique solution of the model. For finding the numerical solution of the established fractional-order system, we apply a generalized predictor-corrector technique in the sense of proposed derivative and also justify the stability of the method. To express the novelty of the simulated results, we perform a number of graphs at various fractional-order cases. The given study is fully novel and useful for understanding the proposed real-world phenomena.","PeriodicalId":72091,"journal":{"name":"Advances in continuous and discrete models","volume":"2022 1","pages":"31"},"PeriodicalIF":2.3,"publicationDate":"2022-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.ncbi.nlm.nih.gov/pmc/articles/PMC9010246/pdf/","citationCount":null,"resultStr":null,"platform":"Semanticscholar","paperid":"142057442","PeriodicalName":null,"FirstCategoryId":null,"ListUrlMain":null,"RegionNum":0,"RegionCategory":"","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":"OA","EPubDate":null,"PubModel":null,"JCR":null,"JCRName":null,"Score":null,"Total":0}

引用次数: 0