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Bifurcation from interval and positive solutions of the three-point boundary value problem for fractional differential equations

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  • Peng, Li
  • Zhou, Yong

Abstract

This paper investigates the existence of positive solutions for fractional differential equations with the three-point boundary value conditions. The main tools used here are bifurcation techniques and topological degree theory. Two examples to illustrate the applications of main results are also given.

Suggested Citation

  • Peng, Li & Zhou, Yong, 2015. "Bifurcation from interval and positive solutions of the three-point boundary value problem for fractional differential equations," Applied Mathematics and Computation, Elsevier, vol. 257(C), pages 458-466.
    • Handle: RePEc:eee:apmaco:v:257:y:2015:i:c:p:458-466
    DOI: 10.1016/j.amc.2014.11.092
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    Cited by:

    1. Ahmed Alsaedi & Ravi P. Agarwal & Sotiris K. Ntouyas & Bashir Ahmad, 2020. "Fractional-Order Integro-Differential Multivalued Problems with Fixed and Nonlocal Anti-Periodic Boundary Conditions," Mathematics, MDPI, vol. 8(10), pages 1-16, October.
    2. Shahram Rezapour & Sotiris K. Ntouyas & Abdelkader Amara & Sina Etemad & Jessada Tariboon, 2021. "Some Existence and Dependence Criteria of Solutions to a Fractional Integro-Differential Boundary Value Problem via the Generalized Gronwall Inequality," Mathematics, MDPI, vol. 9(11), pages 1-22, May.
    3. Bashir Ahmad & Abrar Broom & Ahmed Alsaedi & Sotiris K. Ntouyas, 2020. "Nonlinear Integro-Differential Equations Involving Mixed Right and Left Fractional Derivatives and Integrals with Nonlocal Boundary Data," Mathematics, MDPI, vol. 8(3), pages 1-13, March.
    4. Ahmed Alsaedi & Amjad F. Albideewi & Sotiris K. Ntouyas & Bashir Ahmad, 2020. "On Caputo–Riemann–Liouville Type Fractional Integro-Differential Equations with Multi-Point Sub-Strip Boundary Conditions," Mathematics, MDPI, vol. 8(11), pages 1-14, October.

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