Fundamental solutions of anomalous diffusion equations with the decay exponential kernel

By Xiao-jun Yang, Yi‐ying Feng, Carlo Cattani, M. Inc.. Mathematical methods in the applied sciences, 2019

96 citations recorded by the source corpus.

In the letter, we consider the anomalous diffusion equations involving the general derivatives with the decay exponential kernel for the first time. With the use of the Laplace transform, the analytical solutions with graphs are discussed in detail. The results are accurate and efficient in the description of the behaviors of the anomalous diffusion problems.

Subfields: Modeling and Simulation, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/ddf25f7869e9f1dd60422d056307a3c0d82d2421