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Coupled Fractional-Order Systems with Nonlocal Coupled Integral and Discrete Boundary Conditions

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Abstract

In this paper, we study a coupled system of Caputo fractional differential equations with nonlinearities depending on the unknown functions as well as their derivatives, equipped with new kinds of integral and multi-point (discrete) boundary conditions. In fact, we have introduced the idea of unification of coupled strip and multi-point boundary conditions with their different variants in the present work. Though we apply the standard tools of the fixed point theory to develop the existence criteria for the solutions of given problems, the obtained results are new in the given scenario. Some examples illustrating the main results are also presented.

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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

    Ahmed Alsaedi, Sotiris K. Ntouyas, Doa’a Garout & Bashir Ahmad

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

    Sotiris K. Ntouyas

Authors
  1. Ahmed Alsaedi
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  2. Sotiris K. Ntouyas
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  3. Doa’a Garout
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  4. Bashir Ahmad
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Correspondence to Bashir Ahmad.

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Communicated by Shangjiang Guo.

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Alsaedi, A., Ntouyas, S.K., Garout, D. et al. Coupled Fractional-Order Systems with Nonlocal Coupled Integral and Discrete Boundary Conditions. Bull. Malays. Math. Sci. Soc. 42, 241–266 (2019). https://doi.org/10.1007/s40840-017-0480-1

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  • DOI: https://doi.org/10.1007/s40840-017-0480-1

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