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

Author

Listed:
  • Jinhua Wang
  • Hongjun Xiang
  • Yuling Zhao

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.

Suggested Citation

  • Jinhua Wang & Hongjun Xiang & Yuling Zhao, 2011. "Monotone and Concave Positive Solutions to a Boundary Value Problem for Higher‐Order Fractional Differential Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    • Handle: RePEc:wly:jnlaaa:v:2011:y:2011:i:1:n:430457
    DOI: 10.1155/2011/430457
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    References listed on IDEAS

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    1. E. Ahmed & A. M. A. El-Sayed & A. E. M. El-Mesiry & H. A. A. El-Saka, 2005. "Numerical Solution For The Fractional Replicator Equation," International Journal of Modern Physics C (IJMPC), World Scientific Publishing Co. Pte. Ltd., vol. 16(07), pages 1017-1025.
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    Cited by:

    1. Wenyong Zhong & Lanfang Wang, 2015. "Monotone and Concave Positive Solutions to Three‐Point Boundary Value Problems of Higher‐Order Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).

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