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Positive Solutions for Fractional Differential Equations from Real Estate Asset Securitization via New Fixed Point Theorem

Author

Listed:
  • Hao Tao
  • Meichen Fu
  • Ru Qian

Abstract

We study a fractional differential equation dynamics model arising from the analysis of real estate asset securitization by using the generalized fixed point theorem for weakly contractive mappings in partially ordered sets. Based on the analysis for the existence and uniqueness of the solution and scientific numerical calculation of the solution, in further study, some optimization schemes for traditional risk control process will be obtained, and then the main results of this paper can be applied to the forefront of research of real estate asset securitization.

Suggested Citation

  • Hao Tao & Meichen Fu & Ru Qian, 2012. "Positive Solutions for Fractional Differential Equations from Real Estate Asset Securitization via New Fixed Point Theorem," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    • Handle: RePEc:wly:jnlaaa:v:2012:y:2012:i:1:n:842358
    DOI: 10.1155/2012/842358
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    References listed on IDEAS

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    1. Yongqing Wang & Lishan Liu & Yonghong Wu, 2012. "Positive Solutions for a Fractional Boundary Value Problem with Changing Sign Nonlinearity," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    2. J. Caballero & J. Harjani & K. Sadarangani, 2011. "Uniqueness of Positive Solutions for a Class of Fourth‐Order Boundary Value Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2011(1).
    3. Yongqing Wang & Lishan Liu & Yonghong Wu, 2012. "Positive Solutions of a Fractional Boundary Value Problem with Changing Sign Nonlinearity," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-12, May.
    4. Xinguang Zhang & Lishan Liu & Benchawan Wiwatanapataphee & Yonghong Wu, 2012. "Positive Solutions of Eigenvalue Problems for a Class of Fractional Differential Equations with Derivatives," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    5. Yongqing Wang & Lishan Liu & Yonghong Wu, 2012. "Positive Solutions for a Fractional Boundary Value Problem with Changing Sign Nonlinearity," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-17, July.
    6. Wei Wang & Li Huang, 2012. "Existence of Positive Solution for Semipositone Fractional Differential Equations Involving Riemann-Stieltjes Integral Conditions," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-17, September.
    7. Xinguang Zhang & Lishan Liu & Benchawan Wiwatanapataphee & Yonghong Wu, 2012. "Positive Solutions of Eigenvalue Problems for a Class of Fractional Differential Equations with Derivatives," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-16, May.
    8. Yongqing Wang & Lishan Liu & Yonghong Wu, 2012. "Positive Solutions of a Fractional Boundary Value Problem with Changing Sign Nonlinearity," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    9. Wei Wang & Li Huang, 2012. "Existence of Positive Solution for Semipositone Fractional Differential Equations Involving Riemann‐Stieltjes Integral Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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    Cited by:

    1. Rui Li & Haoqian Zhang & Hao Tao, 2013. "Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).

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