The artificial neural network approach for the transmission of malicious codes in wireless sensor networks with Caputo derivative

Author:

Khan Zia Ullah1,ur Rahman Mati23,Arfan Muhammad4,Waseem 5,Boulaaras Salah6ORCID

Affiliation:

1. College of Mathematics and Physics Shanghai University of Electric Power Shanghai People's Republic of China

2. School of Mathematical Sciences Jiangsu University Zhenjiang Jiangsu People's Republic of China

3. Department of Computer Science and Mathematics Lebanese American University Beirut Lebanon

4. Department of Mathematics University of Malakand Khyber Pakhtunkhwa Pakistan

5. School of Mechnical Engineering Jiangsu University Zhenjiang Jiangsu

6. Department of Mathematics, College of Science Qassim University Buraydah Saudi Arabia

Abstract

AbstractThe current manuscript investigates a six compartmental mathematical model for malicious Codes in Wireless Sensor Network is consider for investigation under the fractional operator of Caputo along with their numerical scheme. The six agent nodes of the network sensors are transferable like in infection with in their community of different nodes. With the help of fixed point theory the presentation of existence and uniqueness of solution of the said model are also given. The scheme of numerical solution under fractional format is developed with the choice of fractional orders which increasing the degree of freedom for such type of network analysis. The numerical simulation of all the six agents are given on different fractional orders along with sensitivity of the fractional orders and some used parameters. The new analysis artificial neural network (ANN) method has been utilized for the considered model and compared with Adams–Bashforth (AB) method. We divided the data set into three categories training, testing and validation with ANN method and the analysis is presented in this work.

Publisher

Wiley

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