Resumen de The Uniqueness of Solutions of Fractional Differential Equations in UniversityMathematics Teaching Based on the Principle of Compression Mapping

Dong Zhang, Li Yang, Ahmed Arbab

• This paper uses the principle of compressed mapping to discuss the existence and uniqueness of the explicit finite difference method for the fractional diffusion equation with time delay. The Laplace transformmethodobtains the necessary expression form of the solution. At the same time, the existence theorem and the existence and uniqueness theorem of the solution to the boundary value problem is established. Finally, an example is given to verify the correctness of the conclusion. The experimental results show that the parallel algorithmproposed in this paper agrees with the exact solution.