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Fundamental solutions of anomalous diffusion equations with the decay exponential kernel
Journal article   Peer reviewed

Fundamental solutions of anomalous diffusion equations with the decay exponential kernel

Xiao-Jun Yang, Yi-Ying Feng, Carlo Cattani and Mustafa Inc
Mathematical methods in the applied sciences, Vol.42(11), pp.4054-4060
30/07/2019
DOI: https://doi.org/10.1002/mma.5634

Abstract

Mathematics Mathematics, Applied Physical Sciences Science & Technology
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.

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