A NON-DIFFERENTIABLE SOLUTION FOR THE LOCAL FRACTIONAL TELEGRAPH EQUATION
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作者:
Li, Jie
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North China Univ Sci & Technol, Minist Educ, Key Lab Modern Met Technol, Tangshan, Peoples R ChinaNorth China Univ Sci & Technol, Minist Educ, Key Lab Modern Met Technol, Tangshan, Peoples R China
Li, Jie
[1
]
Zhang, Ce
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机构:
Harbin Inst Technol Weihai, Sch Comp Sci & Technol, Weihai, Peoples R ChinaNorth China Univ Sci & Technol, Minist Educ, Key Lab Modern Met Technol, Tangshan, Peoples R China
Zhang, Ce
[2
]
Liu, Weixing
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North China Univ Sci & Technol, Minist Educ, Key Lab Modern Met Technol, Tangshan, Peoples R ChinaNorth China Univ Sci & Technol, Minist Educ, Key Lab Modern Met Technol, Tangshan, Peoples R China
Liu, Weixing
[1
]
Zhang, Yuzhu
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North China Univ Sci & Technol, Minist Educ, Key Lab Modern Met Technol, Tangshan, Peoples R ChinaNorth China Univ Sci & Technol, Minist Educ, Key Lab Modern Met Technol, Tangshan, Peoples R China
Zhang, Yuzhu
[1
]
Yang, Aimin
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North China Univ Sci & Technol, Minist Educ, Key Lab Modern Met Technol, Tangshan, Peoples R ChinaNorth China Univ Sci & Technol, Minist Educ, Key Lab Modern Met Technol, Tangshan, Peoples R China
Yang, Aimin
[1
]
Zhang, Ling
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Yanching Inst Technol, Dev Planning Dept, Sanhe, Peoples R ChinaNorth China Univ Sci & Technol, Minist Educ, Key Lab Modern Met Technol, Tangshan, Peoples R China
Zhang, Ling
[3
]
机构:
[1] North China Univ Sci & Technol, Minist Educ, Key Lab Modern Met Technol, Tangshan, Peoples R China
[2] Harbin Inst Technol Weihai, Sch Comp Sci & Technol, Weihai, Peoples R China
[3] Yanching Inst Technol, Dev Planning Dept, Sanhe, Peoples R China
telegraph equation;
analytical solution;
local fractional derivative;
water wave;
local fractional Laplace series expansion method;
SERIES EXPANSION METHOD;
DIFFUSION EQUATION;
CONVEX-FUNCTIONS;
INEQUALITIES;
TRANSFORM;
D O I:
10.2298/TSCI17S1225L
中图分类号:
O414.1 [热力学];
学科分类号:
摘要:
In this paper, we consider the linear telegraph equations with local fractional derivative. The local fractional Laplace series expansion method is used to handle the local fractional telegraph equation. The analytical solution with the non-differentiable graphs is discussed in detail. The proposed method is efficient and accurate.
机构:
Univ Franche Comte, CNRS, UMR 6623, Equipe Math Besancon, F-25030 Besancon, FranceUniv Franche Comte, CNRS, UMR 6623, Equipe Math Besancon, F-25030 Besancon, France
机构:
North China Univ Water Resources & Elect Power, Coll Math & Informat Sci, Zhengzhou, Peoples R ChinaNorth China Univ Water Resources & Elect Power, Coll Math & Informat Sci, Zhengzhou, Peoples R China
Zhang, Yu
Srivastava, Hari M.
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机构:
Univ Victoria, Dept Math & Stat, Victoria, BC, CanadaNorth China Univ Water Resources & Elect Power, Coll Math & Informat Sci, Zhengzhou, Peoples R China
Srivastava, Hari M.
Baleanu, Mihaela-Cristina
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机构:
Mihail Sadoveanu Theoret High Sch, Bucharest 021586, RomaniaNorth China Univ Water Resources & Elect Power, Coll Math & Informat Sci, Zhengzhou, Peoples R China