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A Fractional Order Covid-19 Epidemic Model with Mittag–Leffler Kernel

Journal of Mathematical Sciences (United States) 2023年第2期272卷 284-306页

作者： Khan, H. Ibrahim, M. Khan, A. Tunç, O. Abdeljawad, Th. Department of Mathematics Shaheed Benazir Bhutto University Sheringal District Dir(Upper) Khyber Pakhtunkhwa Pakistan Department of Mathematics and General Science Prince Sultan University Riyadh 11586 Saudi Arabia Department of Computer Programing Baskale Vocational School Van Yuzuncu Yil University Van Turkey Department of Medical Research China Medical University Taichung Taiwan Department of Computer Science and Information Engineering Asia University Taichung Taiwan

We consider a nonlinear fractional-order Covid-19 model in a sense of the Atagana–Baleanu fractional derivative used for the analytic and computational studies. The model consists of six classes of persons, including susceptible, protected susceptible, asymptomatic infected, symptomatic infected, quarantined, and recovered individuals. The model is studied for the existence of solution with the help of a successive iterative technique with limit point as the solution of the model. The Hyers–Ulam stability is also studied. A numerical scheme is proposed and tested on the basis of the available literature. The graphical results predict the curtail of spread within the next 5000 days. Moreover, there is a gradual increase in the population of protected susceptible individuals. © 2023, Springer Nature Switzerland AG.

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Thermal and Flow Properties of Jeffrey Fluid Through Prabhakar Fractional Approach: Investigating Heat and Mass Transfer with Emphasis on Special Functions

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International Journal of Applied and Computational Mathematics 2024年第3期10卷 1-21页

作者： Riaz, Muhammad Bilal Rehman, Aziz Ur Chan, Choon Kit Zafar, Azhar Ali Tunç, Osman IT4Innovations VSB – Technical University of Ostrava Ostrava Czech Republic Department of Computer Science and Mathematics Lebanese American University Byblos Lebanon Faculty of Engineering and Quantity Surveying INTI International University Negeri Sembilan Putra Nilai 71800 Malaysia Department of Mathematics University of Management and Technology Lahore Lahore Pakistan Department of Mathematics Government College University Lahore Lahore Pakistan Department of Computer Programing Baskale Vocational School Van Yuzuncu Yil University Campus Van 65080 Turkey

The core purpose of this work is the investigation, formulation and develop a mathematical model by dint of a new fractional modeling approach namely Prabhakar fractional operator to study the dynamics of Jeffrey fluid flow and heat transfer phenomena. Exact analysis of natural convective flow of the Jeffrey fluid to derive analytical solutions with the non-integer order derivative Prabhakar fractional operator with non-singular type kernel alongwith application of generalized laws namely Fick’s and Fourier’s are reported here. This fractional operator has multi parameter generalized Mittag-Leffler kernel. The fluid flow is elaborated near an infinitely vertical plate with characteristics velocity u₀. The modeling of the considered problem is done in terms of the partial differential equations together with generalized boundary conditions. Introduced the appropriate set of variables to transform the governing equations into dimensionless form. Laplace transform is operated on the fractional system of equations and results are presented in series form and also presented the solution in the form of special functions. The pertinent parameter’s influence such as α, Pr, β, Gm, Sc, γ, Gr on the fluid flow is brought under consideration to reveal the interesting results. In comparison, we noticed the Prabhakar-like non integer approach shows better results than the existing operators in the literature, and graphs are drawn to show the results. Also, obtained the results in a limiting sense such as second grade fluid, Newtonian fluid in fractionalized form as well as Jeffrey and viscous fluid models for classical form from Prabhakar-like non integer Jeffrey fluid model. © The Author(s), under exclusive licence to Springer Nature India Private Limited 2024.

关键词： Analytical solution Heat transfer Laplace transformation Physical parameters Porous medium Prabhakar derivative Special functions

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Battle royale optimizer with a new movement strategy

arXiv

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arXiv 2022年

作者： Akan, Sara Akan, Taymaz Department of Computer Programing Ayvansaray University Istanbul Turkey Department of Software Engineering Ayvansaray University Istanbul Turkey

Gamed-based is a new stochastic metaheuristics optimization category that is inspired by traditional or digital game genres. Unlike SI-based algorithms, individuals do not work together with the goal of defeating other individuals and winning the game. Battle royale optimizer (BRO) is a Gamed-based metaheuristic optimization algorithm that has been recently proposed for the task of continuous problems. This paper proposes a modified BRO (M-BRO) in order to improve balance between exploration and exploitation. For this matter, an additional movement operator has been used in the movement strategy. Moreover, no extra parameters are required for the proposed approach. Furthermore, the complexity of this modified algorithm is the same as the original one. Experiments are performed on a set of 19 (unimodal and multimodal) benchmark functions (CEC 2010). The proposed method has been compared with the original BRO alongside six well-known/recently proposed optimization algorithms. The results show that BRO with additional movement operator performs well to solve complex numerical optimization problems compared to the original BRO and other competitors. Copyright © 2022, The Authors. All rights reserved.

关键词： Optimization

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The Data Dissemination Planning Tasks Process Model Into Account the Entities Differentity

The Data Dissemination Planning Tasks Process Model Into Acc...

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IEEE International Conference on Dependable Systems, Services and Technologies (DESSERT)

作者： Serhii Semenov Viacheslav Lymarenko Serhii Yenhalychev Svitlana Gavrilenko Cybersecurity and Information Technologies Department Simon Kuznets Kharkiv National University of Economics Kharkiv Ukraine The Computer Engineering and Programing Department National Technical University “Kharkiv Polytechnic Institute” Kharkiv Ukraine

ISBN: (纸本)9798350333053

The document presents a model for the planning process for data dissemination tasks. A distinctive feature of the model is that it takes into account the heterogeneity of entities by including additional blocks for their analysis and adaptation to the existing capabilities of processor and other resources. In the course of modeling, a classification was given to the concept of “entities”, a block diagram of the flow of entities for planning systems was developed and investigated. A generalized model for scheduling tasks and entities with dependencies has also been developed. The simulation was carried out using the GERT-network technology. As a result, GERT-networks of the process of scheduling distribution tasks for a separate n-th set of data type are obtained. The simulation result is presented in the form of an analytical expression for calculating the scheduling time for data dissemination tasks, taking into account the heterogeneity of entities.

关键词： Adaptation models Analytical models Processor scheduling Computational modeling Simulation Data dissemination Data models

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Hybrid Data Set Optimization in Recommender Systems Using Fuzzy T-Norms 1

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15th IFIP WG 12.5 International Conference on Artificial Intelligence Applications and Innovations, AIAI 2019

作者： Papaleonidas, Antonios Pimenidis, Elias Iliadis, Lazaros School of Engineering Department of Civil Engineering Faculty of Mathematics Programing and General Courses Democritus University of Thrace Kimmeria Xanthi Greece Department of Computer Science and Creative Technologies University of the West of England BristolBS16 1QY United Kingdom

ISBN: (数字)9783030198237

ISBN: (纸本)9783030198220

A recommender system uses specific algorithms and techniques in order to suggest specific services, goods or other type of recommendations that users could be interested in. User’s preferences or ratings are used as inputs and top-N recommendations are produced by the system. The evaluation of the recommendations is usually based on accuracy metrics such as the Mean Absolute Error (MAE) and the Root Mean Squared Error (RMSE), while on the other hand Precision and Recall is used to measure the quality of the top-N recommendations. Recommender systems development has been mainly focused in the development of new recommendation algorithms. However, one of the major problems in modern offline recommendation system is the sparsity of the datasets and the selection of the suitable users Y that could produce the best recommendations for users X. In this paper, we propose an algorithm that uses Fuzzy sets and Fuzzy norms in order to evaluate the correlation between users in the data set so the system can select and use only the most relevant users. At the same time, we are extending our previous work about Reproduction of experiments in recommender systems by developing new explanations and variables for the proposed new algorithm. Our proposed approach has been experimentally evaluated using a real dataset and the results show that it is really efficient and it can increase both accuracy and quality of recommendations. © 2019, IFIP International Federation for Information Processing.

关键词： Fuzzy logic

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