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Existence Results for Langevin Fractional Differential Inclusions Involving Two Fractional Orders with Four‐Point Multiterm Fractional Integral Boundary Conditions

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  • Ahmed Alsaedi
  • Sotiris K. Ntouyas
  • Bashir Ahmad

Abstract

We discuss the existence of solutions for Langevin fractional differential inclusions involving two fractional orders with four‐point multiterm fractional integral boundary conditions. Our study relies on standard fixed point theorems for multivalued maps and covers the cases when the right‐hand side of the inclusion has convex as well as nonconvex values. Illustrative examples are also presented.

Suggested Citation

  • Ahmed Alsaedi & Sotiris K. Ntouyas & Bashir Ahmad, 2013. "Existence Results for Langevin Fractional Differential Inclusions Involving Two Fractional Orders with Four‐Point Multiterm Fractional Integral Boundary Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2013(1).
    • Handle: RePEc:wly:jnlaaa:v:2013:y:2013:i:1:n:869837
    DOI: 10.1155/2013/869837
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    References listed on IDEAS

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    1. Bashir Ahmad & Juan J. Nieto, 2010. "Solvability of Nonlinear Langevin Equation Involving Two Fractional Orders with Dirichlet Boundary Conditions," International Journal of Differential Equations, Hindawi, vol. 2010, pages 1-10, December.
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    Cited by:

    1. Bashir Ahmad & Sotiris K. Ntouyas, 2014. "An Existence Theorem for Fractional Hybrid Differential Inclusions of Hadamard Type with Dirichlet Boundary Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2014(1).
    2. Ahmed Alsaedi & Sotiris K. Ntouyas & Bashir Ahmad, 2015. "New Existence Results for Fractional Integrodifferential Equations with Nonlocal Integral Boundary Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2015(1).

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