Singular Positone and Semipositone Boundary Value Problems of Nonlinear Fractional Differential Equations
We present some new existence results for singular positone and semipositone nonlinear fractional boundary value problem D0+αu(t)=μa(t)f(t,u(t)), 0<t<1, u(0)=u(1)=u′(0)=u′(1)=0, where μ>0, a, and f are continuous, α∈(3,4] is a real number, and D0+α is Riemann-Liouville fractional deri...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Hindawi Limited
2009-01-01
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| Series: | Mathematical Problems in Engineering |
| Online Access: | http://dx.doi.org/10.1155/2009/535209 |
| Summary: | We present some new existence results for singular positone and semipositone nonlinear fractional boundary value problem D0+αu(t)=μa(t)f(t,u(t)), 0<t<1, u(0)=u(1)=u′(0)=u′(1)=0, where μ>0, a, and f are continuous, α∈(3,4] is a real number, and D0+α is Riemann-Liouville fractional derivative. Throughout our nonlinearity may be singular
in its dependent variable. Two examples are also given to illustrate the main results. |
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| ISSN: | 1024-123X 1563-5147 |