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Caputo type fractional differential equations with nonlocal Riemann-Liouville integral boundary conditions

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Abstract

This paper investigates the existence and uniqueness of solutions for a fractional boundary value problem involving four-point nonlocal Riemann-Liouville integral boundary conditions of different order. Our results are based on standard tools of fixed point theory and Leray-Schauder nonlinear alternative. Some illustrative examples are also discussed.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

    Bashir Ahmad & Afrah Assolami

  2. Department of Mathematics, University of Ioannina, 451 10, Ioannina, Greece

    Sotiris K. Ntouyas

Authors
  1. Bashir Ahmad
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  2. Sotiris K. Ntouyas
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  3. Afrah Assolami
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Correspondence to Bashir Ahmad.

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Ahmad, B., Ntouyas, S.K. & Assolami, A. Caputo type fractional differential equations with nonlocal Riemann-Liouville integral boundary conditions. J. Appl. Math. Comput. 41, 339–350 (2013). https://doi.org/10.1007/s12190-012-0610-8

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  • DOI: https://doi.org/10.1007/s12190-012-0610-8

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