GLOBAL EXISTENCE AND LARGE TIME BEHAVIOR OF SOLUTIONS OF A SEMI-LINEAR TIME AND SPACE FRACTIONAL SYSTEM
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作者:
Ahmad, B.
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机构:
King Abdulaziz Univ, Fac Sci, Dept Math, NAAM Res Grp, POB 80203, Jeddah 21589, Saudi ArabiaKing Abdulaziz Univ, Fac Sci, Dept Math, NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
Ahmad, B.
[1
]
Hnaien, D.
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机构:
Univ Sfax, Fac Sci, Lab Appl Math & Harmon Anal, Sfax 3038, TunisiaKing Abdulaziz Univ, Fac Sci, Dept Math, NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
Hnaien, D.
[2
]
Kirane, M.
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机构:
King Abdulaziz Univ, Fac Sci, Dept Math, NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
Univ La Rochelle, Fac Sci & Technol, LASIE, Ave M Crepeau, F-17042 La Rochelle, FranceKing Abdulaziz Univ, Fac Sci, Dept Math, NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
Kirane, M.
[1
,3
]
机构:
[1] King Abdulaziz Univ, Fac Sci, Dept Math, NAAM Res Grp, POB 80203, Jeddah 21589, Saudi Arabia
[2] Univ Sfax, Fac Sci, Lab Appl Math & Harmon Anal, Sfax 3038, Tunisia
[3] Univ La Rochelle, Fac Sci & Technol, LASIE, Ave M Crepeau, F-17042 La Rochelle, France
Fractional Calculus;
Caputo Derivative;
Fractional Laplacian;
Mittag-Leffler Function;
Local and Global Existence;
Asymptotic Bounds;
BOUNDARY-VALUE-PROBLEMS;
EQUATIONS;
OPERATORS;
ORDER;
D O I:
暂无
中图分类号:
O29 [应用数学];
学科分类号:
070104 ;
摘要:
It is shown that an SIR system with fractional time derivatives and anomalous diffusions admits a global solution. Furthermore, time bounds on the solutions are established. The method of proof uses fine results concerning the semigroup associated to the linear part.
机构:
King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi ArabiaKing Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia
Alsaedi, Ahmed
Ahmad, Bashir
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机构:
King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi ArabiaKing Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia
Ahmad, Bashir
Kirane, Mokhtar
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h-index: 0
机构:
King Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia
La Rochelle Univ, LaSIE, UMR CNRS 7356, Ave M Crepeau, F-17042 La Rochelle, FranceKing Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia
Kirane, Mokhtar
Lassoued, Rafika
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机构:
Fac Sci Monastir, Lab Math Appl & Anal Harmon, Ave Environm, Monastir 5019, TunisiaKing Abdulaziz Univ, Nonlinear Anal & Appl Math NAAM Res Grp, Dept Math, Fac Sci, POB 80203, Jeddah 21589, Saudi Arabia
机构:
Xiamen Univ Fujian, Sch Math Sci, Xiamen 361005, Peoples R ChinaXiamen Univ Fujian, Sch Math Sci, Xiamen 361005, Peoples R China
Tan Zhong
Xu Yongqiang
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机构:
Xiamen Univ Fujian, Sch Math Sci, Xiamen 361005, Peoples R China
Zhangzhou Normal Univ, Dept Math & Informat Sci, Zhangzhou 363000, Peoples R ChinaXiamen Univ Fujian, Sch Math Sci, Xiamen 361005, Peoples R China
机构:
N China Univ Water Resources & Elect Power, Sch Math & Informat Sci, Zhengzhou 450011, Peoples R ChinaN China Univ Water Resources & Elect Power, Sch Math & Informat Sci, Zhengzhou 450011, Peoples R China
Wang, Yu-Zhu
Liu, Fagui
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N China Univ Water Resources & Elect Power, Sch Math & Informat Sci, Zhengzhou 450011, Peoples R ChinaN China Univ Water Resources & Elect Power, Sch Math & Informat Sci, Zhengzhou 450011, Peoples R China
Liu, Fagui
Zhang, Yuanzhang
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N China Univ Water Resources & Elect Power, Sch Math & Informat Sci, Zhengzhou 450011, Peoples R ChinaN China Univ Water Resources & Elect Power, Sch Math & Informat Sci, Zhengzhou 450011, Peoples R China
机构:
Ind Univ Ho Chi Minh City, Fac Fundamental Sci, Ho Chi Minh City, VietnamInd Univ Ho Chi Minh City, Fac Fundamental Sci, Ho Chi Minh City, Vietnam
Nguyen Duc Phuong
Luu Vu Cam Hoan
论文数: 0引用数: 0
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机构:
Duy Tan Univ, Inst Res & Dev, Danang 550000, Vietnam
Duy Tan Univ, Fac Nat Sci, Danang 550000, VietnamInd Univ Ho Chi Minh City, Fac Fundamental Sci, Ho Chi Minh City, Vietnam
Luu Vu Cam Hoan
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机构:
Karapinar, Erdal
Singh, Jagdev
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JECRC Univ, Dept Math, Jaipur 303905, Rajasthan, IndiaInd Univ Ho Chi Minh City, Fac Fundamental Sci, Ho Chi Minh City, Vietnam
Singh, Jagdev
Ho Duy Binh
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机构:
Thu Dau Mot Univ, Div Appl Math, Thu Dau Mot, Binh Duong Prov, VietnamInd Univ Ho Chi Minh City, Fac Fundamental Sci, Ho Chi Minh City, Vietnam
Ho Duy Binh
Nguyen Huu Can
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机构:
Ton Duc Thang Univ, Fac Math & Stat, Appl Anal Res Grp, Ho Chi Minh City, VietnamInd Univ Ho Chi Minh City, Fac Fundamental Sci, Ho Chi Minh City, Vietnam