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Analysis of a system for linear fractional differential equations
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نویسنده
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wang f. ,liu z.-h. ,wang p.
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منبع
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journal of applied mathematics - 2012 - دوره : 2012 - شماره : 0
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چکیده
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The main purpose of this paper is to obtain the unique solution of the constant coefficient homogeneous linear fractional differential equations d t 0 q x (t) = p x (t),x (a) = b and the constant coefficient nonhomogeneous linear fractional differential equations d t0 q x (t) = p x (t) + d,x (a) = b if p is a diagonal matrix and x (t) ∈ c 1-q [ t 0,t ] × c 1-q [t 0,t ] × ... × c 1-q [ t0,t ] and prove the existence and uniqueness of these two kinds of equations for any p ∈ l (r m) and x (t) ∈ c 1-q [ t 0,t ] × c 1-q [ t 0,t ] × ... × c 1-q [t 0,t ]. then we give two examples to demonstrate the main results. © 2012 fang wang et al.
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آدرس
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school of mathematical science and computing technology,central south university,hunan,changsha 410075,china,school of mathematical science and computing technology,changsha university of science and technology,hunan, China, school of mathematical science and computing technology,guangxi university for nationalities,guangxi, China, xiamen institute of technology,huaqiao university,fujian, China
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Authors
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