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EXISTENCE AND REGULARITY OF MILD SOLUTIONS TO FRACTIONAL STOCHASTIC EVOLUTION EQUATIONS

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成果类型:
期刊论文
作者:
Zou, G. A.;Wang, B.;Zhou, Y.
通讯作者:
Zhou, Y;Zhou, Y
作者机构:
[Zou, G. A.; Wang, B.] Henan Univ, Sch Math & Stat, Kaifeng 475004, Peoples R China.
[Zhou, Y.] Xiangtan Univ, Fac Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China.
[Zhou, Y.] King Abdulaziz Univ, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia.
通讯机构:
[Zhou, Y.] Xiangtan Univ, Fac Math & Computat Sci, Xiangtan 411105, Hunan, Peoples R China.
[Zhou, Y.] King Abdulaziz Univ, Fac Sci, Nonlinear Anal & Appl Math NAAM Res Grp, Jeddah 21589, Saudi Arabia.
语种:
英文
关键词:
Fractional calculus;stochastic diffusion equations;stochastic diffusion-wave equations;mild solutions;numerical results
期刊:
MATHEMATICAL MODELLING OF NATURAL PHENOMENA
ISSN:
0973-5348
年:
2018
卷:
13
期:
1
文献类别:
WOS:Article
所属学科:
ESI学科类别:计算机科学;WOS学科类别:Mathematical & Computational Biology;Mathematics, Interdisciplinary Applications;Multidisciplinary Sciences
入藏号:
基金类别:
National Nature Science Foundation of China [11626085, 11671339]
机构署名:
本校为通讯机构
院系归属:
数学与计算科学学院
材料科学与工程学院
摘要:
This study is concerned with the stochastic fractional diffusion and diffusion-wave equations driven by multiplicative noise. We prove the existence and uniqueness of mild solutions to these equations by means of the Picard's iteration method. With the help of the fractional calculus and stochastic analysis theory, we also establish the pathwise spatial-temporal (Sobolev-Holder) regularity properties of mild solutions to these types of fractional SPDEs in a semigroup framework. Finally, we relate our results to the selection of appropriate numerical schemes for the solutions of these time-fractional SPDEs.
参考文献:
Al-Khaled K, 2005, APPL MATH COMPUT, V165, P473, DOI 10.1016/j.amc.2004.06.026
Atangana A, 2016, CHAOS SOLITON FRACT, V89, P447, DOI 10.1016/j.chaos.2016.02.012
Atangana A, 2016, APPL MATH COMPUT, V273, P948, DOI 10.1016/j.amc.2015.10.021
Capasso V, 2009, J MATH BIOL, V58, P219, DOI 10.1007/s00285-008-0193-z
Chen ZQ, 2015, STOCH PROC APPL, V125, P1470, DOI 10.1016/j.spa.2014.11.005

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