Wei Zhang and Ai Ma. Research on Optimal Solution of Correlation Properties of Solutions of Fractional Differential Equations Based on Cognitive Stochastic Distribution Model. Dynamic Systems and Applications 30 (2021) No.4, 537-548

https://doi.org/10.46719/dsa20213041

ABSTRACT.
The paper investigates the problem of solving the equations of the fractional differential equations in the cognitive stochastic distribution model and the existence of the optimal solution, and then cites two linear and uncoupled stochastic distribution simulation equations. Using the correlation properties of fractional differential equations, combined with Laplace transform and inverse transform, the differential expressions of the equations are obtained. At the same time, the equations of the cognitive stochastic distribution model are established, and the initial state of the model is combined to solve the stochastic fractional differential equations. The initial value and the numerical iteration. At the same time, the paper proves that the solution method of fractional differential equations in cognitive random distribution model has certain stability and less error. The numerical calculation method has certain validity and accuracy.

Keywords: Fractional differential equation, cognitive stochastic distribution model, equation solving; optimal solution.