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A Study of a Fully Coupled Two-Parameter System of Sequential Fractional Integro-Differential Equations with Nonlocal Integro-Multipoint Boundary Conditions

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Abstract

In this article, we discuss the existence and uniqueness of solutions for a coupled two-parameter system of sequential fractional integro-differential equations supplemented with nonlocal integro-multipoint boundary conditions. The standard tools of the fixed-point theory are employed to obtain the main results. We emphasize that our results are not only new in the given configuration, but also correspond to several new special cases for specific values of the parameters involved in the problem at hand.

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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, Bashir Ahmad, Shorog Aljoudi & Sotiris K. Ntouyas

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

    Sotiris K. Ntouyas

Authors
  1. Ahmed Alsaedi
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  2. Bashir Ahmad
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  3. Shorog Aljoudi
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  4. Sotiris K. Ntouyas
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Correspondence to Sotiris K. Ntouyas.

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Alsaedi, A., Ahmad, B., Aljoudi, S. et al. A Study of a Fully Coupled Two-Parameter System of Sequential Fractional Integro-Differential Equations with Nonlocal Integro-Multipoint Boundary Conditions. Acta Math Sci 39, 927–944 (2019). https://doi.org/10.1007/s10473-019-0402-4

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  • DOI: https://doi.org/10.1007/s10473-019-0402-4

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