Monotone and Concave Positive Solutions to a Boundary Value Problem for Higher‐Order Fractional Differential Equation

Jinhua Wang, Hongjun Xiang and Yuling Zhao

Abstract and Applied Analysis, 2011, vol. 2011, issue 1

Abstract: We consider boundary value problem for nonlinear fractional differential equation D0+αu(t)+f(t,u(t))=0011301000, , u()=u′()=u′′()=⋯=u(n-1)()=, where D0+α denotes 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.

Date: 2011
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https://doi.org/10.1155/2011/430457

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:430457

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