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Positive Solution of Singular Fractional Differential Equation in Banach Space

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  • Jianxin Cao
  • Haibo Chen

Abstract

We investigated a singular multipoint boundary value problem for fractional differential equation in Banach space. The nonlinear term f(t, x, y) is positive and singular at x = θ and (or) y = θ. Employing regularization, sequential techniques, and diagonalization methods, we obtained some new existence results of positive solution.

Suggested Citation

  • Jianxin Cao & Haibo Chen, 2011. "Positive Solution of Singular Fractional Differential Equation in Banach Space," Journal of Applied Mathematics, John Wiley & Sons, vol. 2011(1).
    • Handle: RePEc:wly:jnljam:v:2011:y:2011:i:1:n:352341
    DOI: 10.1155/2011/352341
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    References listed on IDEAS

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    1. Ravi P. Agarwal & Donal O’Regan, 2001. "Infinite Interval Problems for Differential, Difference and Integral Equations," Springer Books, Springer, number 978-94-010-0718-4, March.
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