https://doi.org/10.1140/epjp/s13360-022-02921-2
Regular Article
Theoretical and numerical study of the rumours spreading model in the framework of piecewise derivative
1
Department of Physics, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, 11671, Riyadh, Saudi Arabia
2
Department of Mathematics, College of Science and Humanities in Al-Aflaj, Prince Sattam Bin Abdulaziz University, 11912, Al-Aflaj, Saudi Arabia
3
Department of Mathematics, Faculty of Science, Damietta University, 34517, New Damietta, Damietta, Egypt
4
Department of Mathematics, University of Malakand, Chakdara, Dir Lower, Khyber Pakhtunkhwa, Pakistan
5
Deanship of Skill development, King Saud University, 11451, Riyadh, Saudi Arabia
Received:
30
March
2022
Accepted:
3
June
2022
Published online:
27
June
2022
In this manuscript, the rumours spreading model in the social network is analysed associated with the classical-Caputo piecewise derivative. The existence and uniqueness of a solution are examined for the aforementioned problem. The suggested problem’s approximate solution is found using the piecewise numerical iterative Newton polynomial approach. The numerical simulations for the piecewise derivable problem under consideration are presented using the data for various fractional orders. This work makes the idea of piecewise derivatives and the dynamics of the crossover problem much clearer. The validity of the model is confirmed by simulating real data with simulated data which are taken from the literature.
© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2022
