existence of positive solutions to boundary value problem of caputo fractional differential equation
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2015
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Abstract
We consider the existence of positive solutions to the nonlinear fractional differential equation boundary value problem D0+αCut+fut,u't=0, t∈0,1, u0=u1=u″0=0, where f:0,+∞×R→0,+∞ is continuous, α∈2,3, and D0+αC is the standard Caputo differentiation. By using fixed point theorems on cone, we give some existence results concerning positive solutions. Here the solutions especially are the interior points of cone.
| Reference Key |
cui2015discreteexistence
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|---|---|
| Authors | ;Yaqiong Cui;Shugui Kang;Zhiping Liu |
| Journal | Journal of the American Heart Association |
| Year | 2015 |
| DOI |
10.1155/2015/708053
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