Author:
Yasmin Humaira,Alshehry Azzh Saad,Ganie Abdul Hamid,Shafee Ahmad,Shah Rasool
Abstract
AbstractThis work dives into the Conformable Stochastic Kraenkel-Manna-Merle System (CSKMMS), an important mathematical model for exploring phenomena in ferromagnetic materials. A wide spectrum of stochastic soliton solutions that include hyperbolic, trigonometric and rational functions, is generated using a modified version of Extended Direct Algebraic Method (EDAM) namely r+mEDAM. These stochastic soliton solutions have practical relevance for describing magnetic field behaviour in zero-conductivity ferromagnets. By using Maple to generate 2D and 3D graphical representations, the study analyses how stochastic terms and noise impact these soliton solutions. Finally, this study adds to our knowledge of magnetic field behaviour in ferromagnetic materials by shedding light on the effect of noise on soliton processes inside the CSKMMS.
Publisher
Springer Science and Business Media LLC
Reference43 articles.
1. Kamrani, M. Numerical solution of stochastic fractional differential equations. Numer. Algorithms 68, 81–93 (2015).
2. Mohammadi, F. Efficient Galerkin solution of stochastic fractional differential equations using second kind Chebyshev wavelets. Boletim da Sociedade Paranaense de Matematica 35(1), 195–215 (2017).
3. Abouagwa, M. & Li, J. Approximation properties for solutions to Itô-Doob stochastic fractional differential equations with non-Lipschitz coefficients. Stochastics Dyn. 19(04), 1950029 (2019).
4. Hussain, A., Ali, H., Zaman, F., & Abbas, N. New closed form solutions of some nonlinear pseudo-parabolic models via a new extended direct algebraic method. Int. J. Math. Comput. Eng..
5. Srinivasa, K., Ramane, H. S., Mundewadi, R. A., & Jummannaver, R. B. Solutions of differential equations using linearly independent Hosoya polynomials of trees. Int. J. Math. Comput. Eng..
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