Journal
MATHEMATICAL METHODS IN THE APPLIED SCIENCES
Volume 42, Issue 11, Pages 4054-4060Publisher
WILEY
DOI: 10.1002/mma.5634
Keywords
analytical solution; anomalous diffusion equations; decay exponential kernel; general derivatives; Laplace transform
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Funding
- 333 Project of Jiangsu Province [BRA2018320]
- State Key Research Development Program of the Peoples Republic of China [2016YFC0600705]
- China University of Mining and Technology [102504180004]
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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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