Brownian Motion Effects on the Stabilization of Stochastic Solutions to Fractional Diffusion Equations with Polynomials
Wael W. Mohammed, Mohammad Alshammari, Clemente Cesarano, Sultan Albadrani, Mahmoud El-Morshedy
Abstract
A class of stochastic fractional diffusion equations with polynomials is considered in this article. This equation is used in numerous applications, such as ecology, bioengineering, biology, and mechanical and chemical engineering. As a result, it is critical to obtain exact solutions to this equation. To obtain these solutions, the tanh-coth method is utilized. Furthermore, we clarify the impact of noise on solution stabilization by simulating our solutions.
Topics & Concepts
Brownian motionFractional Brownian motionClass (philosophy)MathematicsDiffusionNoise (video)Applied mathematicsDiffusion equationDiffusion processMathematical analysisPhysicsComputer scienceInnovation diffusionStatisticsThermodynamicsEngineeringArtificial intelligenceKnowledge managementOperations managementImage (mathematics)Metric (unit)Fractional Differential Equations SolutionsDifferential Equations and Numerical MethodsNonlinear Differential Equations Analysis