Analysis of a System for Linear Fractional Differential Equations
The main purpose of this paper is to obtain the unique solution of the constant coefficient homogeneous linear fractional differential equations Dt0qX(t)=PX(t),X(a)=B and the constant coefficient nonhomogeneous linear fractional differential equations Dt0qX(t)=PX(t)+D,X(a)=B if P is a diagonal matri...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2012-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2012/193061 |
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| Summary: | The main purpose of this paper is to obtain the unique solution of the constant coefficient homogeneous linear fractional differential equations Dt0qX(t)=PX(t),X(a)=B and the constant coefficient nonhomogeneous linear fractional differential equations Dt0qX(t)=PX(t)+D,X(a)=B if P is a diagonal matrix and X(t)∈C1-q[t0,T]×C1-q[t0,T]×⋯×C1-q[t0,T] and prove the existence and uniqueness of these two kinds of equations for any P∈L(Rm) and X(t)∈C1-q[t0,T]×C1-q[t0,T]×⋯×C1-q[t0,T]. Then we give two examples to demonstrate the main results. |
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| ISSN: | 1110-757X 1687-0042 |