检索结果-南通市图书馆

A numerical study of the nonlinear fractional mathematical model of tumor cells in presence of chemotherapeutic treatment

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

International Journal of Biomathematics 2020年第3期13卷 165-181页

作者： Sachin Kumar Abdon atangana Government Mahatma Gandhi Memorial Post Graduate College Hoshangabad ItarsiIndia 461111 Faculty of Naturaland Agricultural Sciences Institute for Groundwater Studies University of the Free State Bloemfontein 9300 South Africa

Cancer belongs to the class of discascs which is symbolized by out of control cells *** cells affect DNAs and damage *** exist many treatments avail-able in medical science as radiation therapy,targeted therapy,surgery,palliative care and *** is one of the most popular treatments which depends on the type,location and grade of *** this paper,we are working on modeling and prediction of the effect of chemotherapy on cancer cells using a fractional differen-tial equation by using the differential operator in Caputos *** presented model depicts the interaction between tumor,norrnal and immune cells in a tumor by using a system of four coupled fractional partial differential equations(PDEs).For this system,initial conditions of tumor cells and dimensions are taken in such a way that tumor is spread out enough in size and can be detected easily with the clinical *** operational matrix method with Genocchi polynomials is applied to study this system of fractional PDFs(FPDEs).An operational matrix for *** differentiation is *** the collocation method and using this matrix,the nonlinear system is reduced to a system of algebraic equations,which can be solved using Newton iteration *** salient features of this paper are the pictorial presentations of the numerical solution of the concerned equation for different particular cases to show the effect of fractional exponent on diffusive nature of immune cells,tumor cells,normal cells and chemother-apeutic drug and depict the interaction among immune cells,normal cells and tumor cells in a tumor site.

关键词： Fractional PDE diffusion equation operational matrix Genocchi polynomial collocation method

Analysis of Lassa hemorrhagic fever model with non-local and non-singular fractional derivatives

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

International Journal of Biomathematics 2018年第8期11卷 87-105页

作者： Sonal Jain Abdon atangana Department of Mathematics Faculty of Applied Science Madhav Institue of Technology & Sciences Gwalior - 474005 Madhya Pradesh India Madhav Institue of Technology & Sciences Gwalior 474005

In this paper, we investigate a possible applicability of the newly established fractional differentiation in the field of epidemiology. To do this, we extend the model describing the Lassa hemorrhagic fever by changing the derivative with the time fractional derivative for the inclusion of memory. Detailed analysis of existence and uniqueness of exact solution is presented using the Banach fixed point theorem. Finally, some numerical simulations are shown to underpin the effectiveness of the used derivative.

关键词： atangana-Baleanu derivative Lassa hemorrhagic fever model Picard Lindelof fixed point theorem

Conservatory of Kaup-Kupershmidt Equation to the Concept of Fractional Derivative with and without Singular Kernel

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Acta Mathematicae Applicatae Sinica 2018年第2期34卷 351-361页

作者： Abdon atangana Emile Franc Doungmo GOUFO Institute for Groundwater Studies University of the Free State 9300 Bloemfontein South Africa Department of Mathematical Sciences University of South Africa Florida 0003 South Africa

Making use of the traditional Caputo derivative and the newly introduced Caputo-Fabrizio deriva- tive with fractional order and no singular kernel, we extent the nonlinear Kaup-Kupershmidt to the span of fractional calculus. In the analysis, different methods of fixed-point theorem together with the concept of piccard L-stability are used, allowing us to present the existence and uniqueness of the exact solution to models with both versions of derivatives. Finally, we present techniques to perform some numerical simulations for both non-linear models and graphical simulations are provided for values of the order α = 1.00; 0.90. Solutions are shown to behave similarly to the standard well-known traveling wave solution of Kaup-Kupershmidt equation.

关键词： Kaup-Kupershmidt equation fractional derivative fixed-point theorem numerical simulations

Analysis of Mathematics and Numerical Pattern Formation in Superdiffusive Fractional Multicomponent System

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

Advances in Applied Mathematics and Mechanics 2017年第6期9卷 1438-1460页

作者： Kolade M.Owolabi Abdon atangana Institute for Groundwater Studies Faculty of Natural and Agricultural SciencesUniversity of the Free StateBloemfontein 9300South Africa

In this work,we examine the mathematical analysis and numerical simulation of pattern formation in a subdiffusive multicomponents fractional-reactiondiffusion system that models the spatial interrelationship between two preys and predator *** major result is centered on the analysis of the system for linear *** of the main model reflects that the dynamical system is locally and globally asymptotically *** propose some useful theorems based on the existence and permanence of the species to validate our theoretical *** and efficient methods in space and time are formulated to handle any space fractional reaction-diffusion *** numerically present the complexity of the dynamics that are theoretically *** simulation results in one,two and three dimensions show some amazing scenarios.

关键词： Asymptotically stable coexistence Fourier spectral method numerical simulations predator-prey fractional multi-species system

New lump, lump-kink, breather waves and other interaction solutions to the (3+1)-dimensional soliton equation

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Communications in Theoretical Physics 2020年第8期72卷 43-49页

作者： Tukur Abdulkadir Sulaiman Abdullahi Yusuf Abdon atangana Department of Computer Engineering Biruni UniversityIstanbulTurkey Department of Mathematics Federal University DutseJigawaNigeria Institute for Groundwater Studies University of the Free StateBloemfonteinSouth Africa

This study investigates the (3+1)-dimensional soliton equation via the Hirota bilinear approach and symbolic computations. We successfully construct some new lump, lump-kink, breather wave, lump periodic, and some other new interaction solutions. All the reported solutions are verified by inserting them into the original equation with the help of the Wolfram Mathematica package. The solution’s visual characteristics are graphically represented in order to shed more light on the results obtained. The findings obtained are useful in understanding the basic nonlinear fluid dynamic scenarios as well as the dynamics of computational physics and engineering sciences in the related nonlinear higher dimensional wave fields.

关键词： (3+1)-dimensional soliton equation Hirota method lump solution breather waves

Characterisation of likelihood of gas hydrates occurrence in the South China Sea based on Bonferroni mean-based TOPSIS and fuzzy set theory

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

Geoscience Frontiers 2023年第2期14卷 59-70页

作者： Pierre Guy atangana Njock Shui-Long Shen Annan Zhou MOE Key Laboratory of Intelligent Manufacturing Technology Department of Civil and Environmental EngineeringCollege of EngineeringShantou UniversityGuangdong 515063China Discipline of Civil and Infrastructure Engineering School of EngineeringRoyal Melbourne Institute of TechnologyVictoria 3001Australia

The efficiency of gas hydrate production depends on the success of gas exploration and occurrence *** existing evaluation models are generally univariate and only applicable to certain geological *** study presents a holistic approach to evaluate the likelihood of gas hydrate occurrence by supplying an index for mapping gas hydrate levels with *** approach integrates a generalised TOPSIS method with the fuzzy set *** expedition of gas hydrate conducted in the Shenhu area of the South China Sea was adopted as a case study to assess the reliability of the proposed *** a multivariate model,the proposed approach enables the capture of non-linearity associated with gas hydrates in its *** magnitude of the strength of the influential factor varies substantially from one site to another across the Shenhu *** results also show that no site achieves the highest likelihood‘Level V’.These results are consistent with the gas saturation values obtained using Archie’s *** example,at SH4 and SH7,the values of the likelihood index are the highest between 170–185 m and 150–165 m,respectively,and the observed saturation at these locations varies from 20%(SH4)to 43%(SH7).The proposed likelihood index yields a prominent ability to quantify the level of occurrence of gas hydrates with depth at different *** appears to be an efficient multicriteria system bound to improve the management of the gas production trial stage.

关键词： Gas hydrates South China Sea Geologic controls Occurrence characterization Energy resource

Artificial neural network optimized by differential evolution for predicting diameters of jet grouted columns

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Rock Mechanics and Geotechnical Engineering 2021年第6期13卷 1500-1512页

作者： Pierre Guy atangana Njock Shui-Long Shen Annan Zhou Giuseppe Modoni Department of Civil and Environmental Engineering College of EngineeringShantou UniversityShantou515063China MOE Key Laboratory of Intelligent Manufacturing Technology College of EngineeringShantou UniversityShantou515063China Discipline of Civil and Infrastructure School of EngineeringRoyal Melbourne Institute of Technology(RMIT)Melbourne3001Australia Department of Civil and Mechanical Engineering University of Cassino and Southern LazioCassino03043Italy

A novel and effective artificial neural network(ANN) optimized using differential evolution(DE) is first introduced to provide a robust and reliable forecasting of jet grouted column *** proposed computational method adopts the DE algorithm to tackle the difficulties in the training and performance of neural networks and optimize the four quintessential hyper-parameters(*** epoch size,the number of neurons in a hidden layer,the number of hidden layers,and the regularization parameter) that govern the neural network *** approach is further enhanced by a stochastic gradient optimization algorithm to allow ’expensive’ computation *** ANN-DE is first trained using a prepared jet grouting dataset,then verified and compared with the prevalent machine learning tools,*** networks and support vector machine(SVM).The results show that,the ANN-DE outperforms the existing methods for predicting the diameter of jet grouting columns since it well balances training efficiency and model ***,the ANN-DE achieved root mean square error(RMSE)values of 0.90603 and 0.92813 for the training and testing phases,*** corresponding values were 0.8905 and 0.9006 for the optimized ANN,then,0.87569 and 0.89968 for the optimized SVM,*** proposed paradigm is bound to be useful for solving various geotechnical engineering problems regardless of multi-dimension and nonlinearity.

关键词： Artificial neural network(ANN) Differential evolution(DE) Jet grouting Model optimization Regularization

Risks analysis of large diameter slurry shield tunneling in urban area

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

Underground Space 2023年第6期13卷 281-300页

作者： Yi Zeng Pierre Guy atangana Njock Wang Xiong Xiao-Long Zhang Shui-Long Shen Shanghai Tunnel Engineering&Rail Transit Design and Research Institute Shanghai 200235China Department of Civil and Environmental Engineering College of EngineeringShantou UniversityShantouGuangdong 515063China MOE Key Laboratory of Intelligence Manufacturing Technology Department of Civil and Environmental EngineeringCollege of EngineeringShantou UniversityShantouGuangdong 515063China

The construction of super-large tunnels generates various safety risks that can hamper the tunneling process and cause severe damages if not properly *** paper presents a case study on the identification and management of geological and environmental risks during the construction of the largest(a diameter of 15.8 m)slurry shield tunnel in *** ground conditions and settlement control were identified among the most challenging owing to a large area of mixed ground conditions,11 fault zones and tunneling under residential areas and the city’s Metro Lines 1 and *** response to the severity of these risks and challenges,novel monitoring systems,ground treatment,and safety management technologies were successfully implemented throughout the tunneling ***,a technical framework was proposed in this study to serve as a risk management guidance for analogous tunneling operations.

关键词： Large diameter Risks Shield tunneling Fault zones Geohazard mitigation

A Review of the Advances Made in Improving the Durability of Welded Wood against Water in Light of the Results of African Tropical Woods Welding

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

Journal of Renewable Materials 2023年第3期11卷 1077-1099页

作者： Jean Jalin Eyinga Biwôlé Achille Bernard Biwolé Antonio Pizzi Joseph Zobo Mfomo César Segovia atangana ateb. Evariste Fedoung Fongnzossie Sahbi Ouertani Xinyi Chen Bénoît Ndiwe DieudonnéAbessolo Pierre-Jean Meausoone Laboratory of Forest Resources and Wood Valorization University of DoualaP.O.Box.2701DoualaCameroon Laboratory of Mechanics University of DoualaP.O.Box.2701DoualaCameroon CETELOR University of LorraineP.O.Box.21042EpinalFrance ENSTIB-LERMAB University of LorraineP.O.Box.21042EpinalFrance Laboratory of Energetics and Thermal and Mass Transfers El Manar University of TunisTunisTunisia

Wood plays a major role in the production of furniture and wooden ***,in this process,the massive use of adhesives and plural connectors remains a definite problem for health and the ***,wood welding is a breakthrough in this *** paper reviews the applications of wood welding in furniture and construction and then examines advances in improving the durability of welded wood against *** contribution also highlights the need to join African tropical woods using the rotational friction welding *** to our results,these woods present interesting chemical singularities,which could provide solutions to the water vulnerability of the welded ***,the use of such a joining method would first free the Cameroonian furniture industry from the chemical industry,secondly position it at the forefront of new eco-design trends and thirdly make it competitive with other countries in the Central African *** works enrich the long and rich bibliography on the technique of wood welding,which has long been conspicuous by its absence of tropical woods.

关键词： Wood welding tropical woods water vulnerability chemical singularities natural durability