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THE SPACE-FRACTIONAL TELEGRAPH EQUATION AND THE RELATED FRACTIONAL TELEGRAPH PROCESS |
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Citation: |
E. ORSINGHER,ZHAO Xuelei.THE SPACE-FRACTIONAL TELEGRAPH EQUATION AND THE RELATED FRACTIONAL TELEGRAPH PROCESS[J].Chinese Annals of Mathematics B,2003,24(1):45~56 |
Page view: 1519
Net amount: 822 |
Authors: |
E. ORSINGHER; ZHAO Xuelei |
Foundation: |
Project supported by the National Natural Science Foundation of China (No. 10071014). |
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Abstract: |
The space-fractional telegraph equation is analyzed and the Fourier transform of its fundamental
solution is obtained and discussed.
A symmetric process with discontinuous trajectories, whose transition function satisfies the
space-fractional telegraph equation, is presented. Its limiting behaviour and the connection
with symmetric stable processes is also examined. |
Keywords: |
Fractional calculus, Marchaud’s derivative, Weyl’s derivative, Riesz potential,
Telegraph equation, Stable processes |
Classification: |
60H30, 35G05 |
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