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On a Coupled System of Nonlinear Generalized Fractional Differential Equations with Nonlocal Coupled Riemann–Stieltjes Boundary Conditions

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Abstract

In this paper, we study a new class of coupled systems of nonlinear generalized fractional differential equations complemented with coupled nonlocal Riemann–Stieltjes and generalized fractional integral boundary conditions. The nonlinearities also include the lower order generalized fractional derivatives of the unknown functions. We apply the Banach contraction map** principle and Leray–Schauder alternative to derive the desired results. An illustrative example is also discussed. The results presented in this work are novel in the given configuration and yield some new results as special cases (for details, see the Conclusion section).

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Acknowledgements

The authors thank the reviewers for their constructive remarks on their manuscript.

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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, Ahmed Alsaedi & Areej S. Aljahdali

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  1. Bashir Ahmad
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  2. Ahmed Alsaedi
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  3. Areej S. Aljahdali
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Ahmad, B., Alsaedi, A. & Aljahdali, A.S. On a Coupled System of Nonlinear Generalized Fractional Differential Equations with Nonlocal Coupled Riemann–Stieltjes Boundary Conditions. Qual. Theory Dyn. Syst. 23, 215 (2024). https://doi.org/10.1007/s12346-024-01077-x

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