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Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation

Author

Listed:
  • Moustafa El-Shahed

Abstract

We are concerned with the existence and nonexistence of positive solutions for the nonlinear fractional boundary value problem: D0+αu(t)+λa(t) f(u(t))=0, 0

Suggested Citation

  • Moustafa El-Shahed, 2007. "Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2007(1).
    • Handle: RePEc:wly:jnlaaa:v:2007:y:2007:i:1:n:010368
    DOI: 10.1155/2007/10368
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    Citations

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    Cited by:

    1. Mujeeb Ur Rehman & Rahmat Ali Khan, 2010. "Positive Solutions to Nonlinear Higher‐Order Nonlocal Boundary Value Problems for Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    2. Weihua Jiang & Jiqing Qiu & Weiwei Guo, 2012. "The Existence of Positive Solutions for Fractional Differential Equations with Sign Changing Nonlinearities," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    3. I. J. Cabrera & J. Harjani & K. B. Sadarangani, 2012. "Positive and Nondecreasing Solutions to an m‐Point Boundary Value Problem for Nonlinear Fractional Differential Equation," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    4. Wenyong Zhong, 2010. "Positive Solutions for Multipoint Boundary Value Problem of Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    5. Yanli Chen & Yongxiang Li, 2014. "The Existence of Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    6. Mohamed Jleli & Erdal Karapinar & Bessem Samet, 2014. "Positive Solutions for Multipoint Boundary Value Problems for Singular Fractional Differential Equations," Journal of Applied Mathematics, John Wiley & Sons, vol. 2014(1).
    7. R. Darzi & B. Mohammadzadeh & A. Neamaty & D. Bǎleanu, 2013. "Lower and Upper Solutions Method for Positive Solutions of Fractional Boundary Value Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    8. N. I. Mahmudov & S. Unul, 2014. "Existence of Solutions of α ∈ (2,3] Order Fractional Three‐Point Boundary Value Problems with Integral Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    9. Chuanzhi Bai, 2010. "Existence of Positive Solutions for a Functional Fractional Boundary Value Problem," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    10. Hongjie Liu & Xiao Fu & Liangping Qi, 2014. "Existence of Positive Solutions for a Kind of Fractional Boundary Value Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    11. Han, Zhenlai & Lu, Hongling & Zhang, Chao, 2015. "Positive solutions for eigenvalue problems of fractional differential equation with generalized p-Laplacian," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 526-536.

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