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Positive Solutions for System of Nonlinear Fractional Differential Equations in Two Dimensions with Delay

Author

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  • Azizollah Babakhani

Abstract

We investigate the existence and uniqueness of positive solution for system of nonlinear fractional differential equations in two dimensions with delay. Our analysis relies on a nonlinear alternative of Leray-Schauder type and Krasnoselskii's fixed point theorem in a cone.

Suggested Citation

  • Azizollah Babakhani, 2010. "Positive Solutions for System of Nonlinear Fractional Differential Equations in Two Dimensions with Delay," Abstract and Applied Analysis, Hindawi, vol. 2010, pages 1-16, May.
    • Handle: RePEc:hin:jnlaaa:536317
    DOI: 10.1155/2010/536317
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    Cited by:

    1. Lihong Zhang & Bashir Ahmad & Guotao Wang & Ravi P. Agarwal & Maryem Al-Yami & Wafa Shammakh, 2013. "Nonlocal Integrodifferential Boundary Value Problem for Nonlinear Fractional Differential Equations on an Unbounded Domain," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Azizollah Babakhani & Dumitru Baleanu, 2012. "Existence and Uniqueness of Solution for a Class of Nonlinear Fractional Order Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
    3. Jaromír Baštinec & Leonid Berezansky & Josef Diblík & Zdeněk Šmarda, 2010. "On the Critical Case in Oscillation for Differential Equations with a Single Delay and with Several Delays," Abstract and Applied Analysis, John Wiley & Sons, vol. 2010(1).
    4. Guotao Wang & Bashir Ahmad & Lihong Zhang, 2012. "A Coupled System of Nonlinear Fractional Differential Equations with Multipoint Fractional Boundary Conditions on an Unbounded Domain," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).

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