Fundamental solutions of the general fractional‐order diffusion equations
Xiao‐Jun YangCollege of Mathematics and Systems Science Shandong University of Science and Technology Qingdao ChinaFeng GaoState Key Laboratory for Geomechanics and Deep Underground Engineering China University of Mining and Technology Xuzhou PR ChinaYang JuState Key Laboratory for Geomechanics and Deep Underground Engineering China University of Mining and Technology Xuzhou PR ChinaHong ZhouState Key Laboratory of Coal Resources and Safe Mining China University of Mining and Technology Beijing China
2018en
ABI
Аннотация
In this article, the general fractional‐order diffusion equations within the negative Prabhakar kernel are considered for the first time. With the aid of the Laplace transform, the series solutions for the problems with the general Mittag‐Leffler functions are discussed in detail. The obtained results are efficient in the description of the anomalous behaviors of the diffusive process.
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