Existence and Uniqueness of Solution for a Class of Nonlinear Fractional Order Differential Equations
We discuss the existence and uniqueness of solution to nonlinear fractional order ordinary differential equations (Dα-ρtDβ)x(t)=f(t,x(t),Dγx(t)), t∈(0,1) with boundary conditions x(0)=x0, x(1)=x1 or satisfying the initial conditions x(0)=0, x′(0)=1, where Dα denotes Caputo fractional derivative, ρ...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2012-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2012/632681 |