Non-Euclidean distance fundamental solution of Hausdorff derivative partial differential equations

作者: Wen Chen , Fajie Wang , Bin Zheng , Wei Cai

DOI: 10.1016/J.ENGANABOUND.2017.09.003

关键词:

摘要: … investigation to examine the Hausdorff differential Laplace operator and its fundamental solution. … of a few typical Hausdorff differential operators via a non-Euclidean metric, called the …

参考文章(27)
Fajie Wang, Wen Chen, Yan Gu, Boundary element analysis of inverse heat conduction problems in 2D thin-walled structures International Journal of Heat and Mass Transfer. ,vol. 91, pp. 1001- 1009 ,(2015) , 10.1016/J.IJHEATMASSTRANSFER.2015.08.048
Alberto Carpinteri, Francesco Mainardi, Fractals and fractional calculus in continuum mechanics Springer-Verlag. ,(1997) , 10.1007/978-3-7091-2664-6
J. Weberszpil, Matheus Jatkoske Lazo, J.A. Helayël-Neto, On a connection between a class of q-deformed algebras and the Hausdorff derivative in a medium with fractal metric Physica A-statistical Mechanics and Its Applications. ,vol. 436, pp. 399- 404 ,(2015) , 10.1016/J.PHYSA.2015.05.063
Wen Chen, Hongguang Sun, Xiaodi Zhang, Dean Korošak, Anomalous diffusion modeling by fractal and fractional derivatives Computers & Mathematics With Applications. ,vol. 59, pp. 1754- 1758 ,(2010) , 10.1016/J.CAMWA.2009.08.020
Xiao-Jun Yang, Dumitru Baleanub, Mihailo Lazarevic, Milan Cajic, Fractal boundary value problems for integral and differential equations with local fractional operators Thermal Science. ,vol. 19, pp. 959- 966 ,(2013) , 10.2298/TSCI130717103Y
W. Chen, F.Z. Wang, A method of fundamental solutions without fictitious boundary Engineering Analysis With Boundary Elements. ,vol. 34, pp. 530- 532 ,(2010) , 10.1016/J.ENGANABOUND.2009.12.002
Igor Podlubny, B. Nemcovej, Geometric and Physical Interpretation of Fractional Integration and Fractional Differentiation arXiv: Classical Analysis and ODEs. ,(2001)