Monotone and Concave Positive Solutions to a Boundary Value Problem for Higher-Order Fractional Differential Equation
Keyword(s):
We consider boundary value problem for nonlinear fractional differential equationD0+αu(t)+f(t,u(t))=0, 0<t<1, n-1<α≤n, n>3, u(0)=u'(1)=u′′(0)=⋯=u(n-1)(0)=0, whereD0+αdenotes the Caputo fractional derivative. By using fixed point theorem, we obtain some new results for the existence and multiplicity of solutions to a higher-order fractional boundary value problem. The interesting point lies in the fact that the solutions here are positive, monotone, and concave.
2010 ◽
Vol 2010
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pp. 1-17
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2011 ◽
Vol 38
(1-2)
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pp. 225-241
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2010 ◽
Vol 18
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pp. 327-339
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2013 ◽
Vol 23
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pp. 43-56
2018 ◽
Vol 1
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pp. 56-80