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A System of Coupled Multi-Term Fractional Differential Equations with Three-Point Coupled Boundary Conditions

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Abstract

This paper studies the existence and uniqueness of solutions for a new boundary value problem of coupled nonlinear multi-term fractional differential equations supplemented with three-point coupled boundary conditions. We make use of Banach’s contraction principle and Leray-Schauder’s alternative to derive the desired results, which are well illustrated with examples. We emphasize that the obtained results are new and make a significant contribution to the existing literature on the topic.

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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, Najla Alghamdi, Ahmed Alsaedi & Sotiris K. Ntouyas

  2. Department of Mathematics, Faculty of Science, University of Jeddah, P.O. Box 80327, Jeddah, 21589, Saudi Arabia

    Najla Alghamdi

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

    Sotiris K. Ntouyas

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  1. Bashir Ahmad
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  2. Najla Alghamdi
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  4. Sotiris K. Ntouyas
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Ahmad, B., Alghamdi, N., Alsaedi, A. et al. A System of Coupled Multi-Term Fractional Differential Equations with Three-Point Coupled Boundary Conditions. FCAA 22, 601–616 (2019). https://doi.org/10.1515/fca-2019-0034

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