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Existence of Solutions of α ∈ (2,3] Order Fractional Three‐Point Boundary Value Problems with Integral Conditions

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  • N. I. Mahmudov
  • S. Unul

Abstract

Existence and uniqueness of solutions for α ∈ (2,3] order fractional differential equations with three‐point fractional boundary and integral conditions involving the nonlinearity depending on the fractional derivatives of the unknown function are discussed. The results are obtained by using fixed point theorems. Two examples are given to illustrate the results.

Suggested Citation

  • 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).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:198632
    DOI: 10.1155/2014/198632
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    References listed on IDEAS

    as
    1. Moustafa El-Shahed, 2007. "Positive Solutions for Boundary Value Problem of Nonlinear Fractional Differential Equation," Abstract and Applied Analysis, Hindawi, vol. 2007, pages 1-8, October.
    2. Bashir Ahmad & Juan J. Nieto, 2009. "Existence of Solutions for Nonlocal Boundary Value Problems of Higher-Order Nonlinear Fractional Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2009, pages 1-9, July.
    3. Bashir Ahmad & Juan J. Nieto, 2009. "Existence of Solutions for Nonlocal Boundary Value Problems of Higher‐Order Nonlinear Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2009(1).
    4. 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).
    Full references (including those not matched with items on IDEAS)

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