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Some fractional-order one-dimensional semi-linear problems under nonlocal integral boundary conditions

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Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas Aims and scope Submit manuscript

Abstract

In this paper, we study a new class of one-dimensional semi-linear problems of fractional differential equations supplemented with nonlocal flux type integral boundary conditions. New existence and uniqueness results are obtained for the given problem by using some standard fixed point theorems. The obtained results are illustrated with the aid of examples.

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Acknowledgments

We thank the reviewer for his/her useful and constructive remarks.

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Authors and Affiliations

  1. Nonlinear Analysis and Applied Mathematics (NAAM)-Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah, 21589, Saudi Arabia

    Bashir Ahmad & Sotiris K. Ntouyas

  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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Correspondence to Bashir Ahmad.

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Ahmad, B., Ntouyas, S.K. Some fractional-order one-dimensional semi-linear problems under nonlocal integral boundary conditions. RACSAM 110, 159–172 (2016). https://doi.org/10.1007/s13398-015-0228-4

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  • DOI: https://doi.org/10.1007/s13398-015-0228-4

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