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Systems of Riemann–Liouville fractional equations with multi-point boundary conditions

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  • Henderson, Johnny
  • Luca, Rodica

Abstract

We study the existence and multiplicity of positive solutions for a system of nonlinear Riemann–Liouville fractional differential equations, subject to multi-point boundary conditions which contain fractional derivatives. The nonsingular and singular cases are investigated.

Suggested Citation

  • Henderson, Johnny & Luca, Rodica, 2017. "Systems of Riemann–Liouville fractional equations with multi-point boundary conditions," Applied Mathematics and Computation, Elsevier, vol. 309(C), pages 303-323.
    • Handle: RePEc:eee:apmaco:v:309:y:2017:i:c:p:303-323
    DOI: 10.1016/j.amc.2017.03.044
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    References listed on IDEAS

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    1. J. Caballero & I. Cabrera & K. Sadarangani, 2012. "Positive Solutions of Nonlinear Fractional Differential Equations with Integral Boundary Value Conditions," Abstract and Applied Analysis, John Wiley & Sons, vol. 2012(1).
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    Cited by:

    1. Johnny Henderson & Rodica Luca & Alexandru Tudorache, 2021. "Positive Solutions for a System of Coupled Semipositone Fractional Boundary Value Problems with Sequential Fractional Derivatives," Mathematics, MDPI, vol. 9(7), pages 1-22, April.
    2. Fang Wang & Lishan Liu & Yonghong Wu & Yumei Zou, 2019. "Iterative Analysis of the Unique Positive Solution for a Class of Singular Nonlinear Boundary Value Problems Involving Two Types of Fractional Derivatives with p -Laplacian Operator," Complexity, Hindawi, vol. 2019, pages 1-21, October.
    3. Wang, Fang & Liu, Lishan & Wu, Yonghong, 2020. "A numerical algorithm for a class of fractional BVPs with p-Laplacian operator and singularity-the convergence and dependence analysis," Applied Mathematics and Computation, Elsevier, vol. 382(C).

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