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A k‐Dimensional System of Fractional Neutral Functional Differential Equations with Bounded Delay

Author

Listed:
  • Dumitru Baleanu
  • Sayyedeh Zahra Nazemi
  • Shahram Rezapour

Abstract

In 2010, Agarwal et al. studied the existence of a one‐dimensional fractional neutral functional differential equation. In this paper, we study an initial value problem for a class of k‐dimensional systems of fractional neutral functional differential equations by using Krasnoselskii’s fixed point theorem. In fact, our main result generalizes their main result in a sense.

Suggested Citation

  • Dumitru Baleanu & Sayyedeh Zahra Nazemi & Shahram Rezapour, 2014. "A k‐Dimensional System of Fractional Neutral Functional Differential Equations with Bounded Delay," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:524761
    DOI: 10.1155/2014/524761
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    References listed on IDEAS

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    1. Dumitru Baleanu & Sayyedeh Zahra Nazemi & Shahram Rezapour, 2013. "The Existence of Positive Solutions for a New Coupled System of Multiterm Singular Fractional Integrodifferential Boundary Value Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    2. Dumitru Baleanu & Sayyedeh Zahra Nazemi & Shahram Rezapour, 2013. "The Existence of Positive Solutions for a New Coupled System of Multiterm Singular Fractional Integrodifferential Boundary Value Problems," Abstract and Applied Analysis, Hindawi, vol. 2013, pages 1-15, November.
    3. D. Baleanu & H. Mohammadi & Sh. Rezapour, 2012. "Positive Solutions of an Initial Value Problem for Nonlinear Fractional Differential Equations," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-7, June.
    4. D. Baleanu & H. Mohammadi & Sh. Rezapour, 2012. "Positive Solutions of an Initial Value Problem for Nonlinear Fractional Differential Equations," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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