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The Existence of Solution for a k‐Dimensional System of Multiterm Fractional Integrodifferential Equations with Antiperiodic Boundary Value Problems

Author

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

Abstract

There are many published papers about fractional integrodifferential equations and system of fractional differential equations. The goal of this paper is to show that we can investigate more complicated ones by using an appropriate basic theory. In this way, we prove the existence and uniqueness of solution for a k‐dimensional system of multiterm fractional integrodifferential equations with antiperiodic boundary conditions by applying some standard fixed point results. An illustrative example is also presented.

Suggested Citation

  • Dumitru Baleanu & Sayyedeh Zahra Nazemi & Shahram Rezapour, 2014. "The Existence of Solution for a k‐Dimensional System of Multiterm Fractional Integrodifferential Equations with Antiperiodic Boundary Value Problems," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    • Handle: RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:896871
    DOI: 10.1155/2014/896871
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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.
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