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02- Progress in Fractional Differentiation and Applications
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 

Content
 

Volumes > Vol. 10 > No. 3

 
   

Numerical Approximation of Fractional Order Transmission of Worms in Wireless Sensor Network in Sense of Caputo Operator

PP: 345-359
doi:10.18576/pfda/100302
Author(s)
Amita Devi, Aziz Khan, Anoop Kumar, Thabet Abdeljawad,
Abstract
In this manuscript, we study the uncertain attacking of some worms in wireless sensor network (WSNs). We established a mathematical formulation for the WSNs model in the sense of Caputo fractional operator. Applying the fixed point theory, certain theoretic solutions of existence and uniqueness are considered for the fractional model. In addition, to investigate reproduction number, local stability and Hyers-Ulam stability of the proposed model. Furthermore, Corrector-Predictor algorithm is utilized for fractional dynamics and numerical solutions.

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