The Fundamental Solutions of the Space, Space-Time Riesz Fractional Partial Differential Equations with Periodic Conditions-中国期刊网

摘要 Inthispaper,thespace-timeRieszfractionalpartialdifferentialequationswithperiodicconditionsareconsidered.TheequationsareobtainedfromtheintegralpartialdifferentialequationbyreplacingthetimederivativewithaCaputofractionalderivativeandthespacederivativewithRieszpotential.ThefundamentalsolutionsofthespaceRieszfractionalpartialdifferentialequation(SRFPDE)andthespace-timeRieszfractionalpartialdifferentialequation(STRFPDE)arediscussed,respectively.UsingmethodsofFourierseriesexpansionandLaplacetransform,wederivetheexplicitexpressionsofthefundamentalsolutionsfortheSRFPDEandtheSTRFPDE,respectively.

1Xiaoqing Wen;Licheng Ge;Hongwei Yin. ALMOST PERIODIC SOLUTIONS TO STOCHASTIC FRACTIONAL PARTIAL EQUATIONS IN FRACTIONAL POWER SPACE＊t.基础数学,2015-03.
2Congchong Guo. WELL-POSEDNESS AND SPACE-TIME REGULARITY OF SOLUTIONS TO THE LIQUID CRYSTAL EQUATIONS IN CRITICAL SPACE.基础数学,2016-04.
3Wang Lei Zhu Shihua Wang Jun. A NOVEL LINEAR DIFFERENTIAL SPACE-TIME MODULATION.物理电子学,2007-05.
4Li Jun Cao Haiyan Wei Gang. ROTATION CONSTELLATION FOR DIFFERENTIAL UNITARY SPACE-TIME MODULATION.物理电子学,2006-05.
5李正权;胡光锐. Differential modulation based on space-time block codes.物理电子学,2004-03.
6韦忠礼. THE EXISTENCE OF POSITIVE SOLUTIONS OF THE NONLINEAR NEUTRAL DIFFERENTIAL EQUATIONS IN A BANACH SPACE.基础数学,1999-01.
7汪波;谢资清;张智民. SPACE-TIME DISCONTINUOUS GALERKIN METHOD FOR MAXWELL EQUATIONS IN DISPERSIVE MEDIA.基础数学,2014-05.
8Mahmoud M.El-Borai;Wagdy G.El-Sayed;Faez N. Ghaffoori. On The Cauchy Problem For Some Parabolic Fractional Partial Differential Equations With Time Delays.基础数学,2016-05.
9GENG Yanhui;QIN Guoliang;WANG Yang;HE Wei. The research of space-time coupled spectral element method for acoustic wave equations.声学,2016-01.
10Jie XU;Yun Min ZHU;Ji Cheng LIU. Uniqueness and Explosion Time of Solutions of Stochastic Differential Equations Driven by Fractional Brownian Motion.基础数学,2012-12.

The Fundamental Solutions of the Space, Space-Time Riesz Fractional Partial Differential Equations with Periodic Conditions

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The Fundamental Solutions of the Space, Space-Time Riesz Fractional Partial Differential Equations with Periodic Conditions

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