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The Existence Results of Solutions for System of Fractional Differential Equations with Integral Boundary Conditions

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  • Dongxia Zan
  • Run Xu

Abstract

In this paper, we investigated the system of fractional differential equations with integral boundary conditions. By using a fixed point theorem in the Banach spaces, we get the existence of solutions for the fractional differential system. By constructing iterative sequences for any given initial point in space, we can approximate this solution. As an application, an example is presented to illustrate our main results.

Suggested Citation

  • Dongxia Zan & Run Xu, 2018. "The Existence Results of Solutions for System of Fractional Differential Equations with Integral Boundary Conditions," Discrete Dynamics in Nature and Society, Hindawi, vol. 2018, pages 1-8, October.
    • Handle: RePEc:hin:jnddns:8534820
    DOI: 10.1155/2018/8534820
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    Cited by:

    1. Rezapour, Sh. & Kumar, S. & Iqbal, M.Q. & Hussain, A. & Etemad, S., 2022. "On two abstract Caputo multi-term sequential fractional boundary value problems under the integral conditions," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 194(C), pages 365-382.
    2. Anupam Das & Bipan Hazarika & Poom Kumam, 2019. "Some New Generalization of Darbo’s Fixed Point Theorem and Its Application on Integral Equations," Mathematics, MDPI, vol. 7(3), pages 1-9, February.
    3. 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.
    4. Kamran Kamran & Zahir Shah & Poom Kumam & Nasser Aedh Alreshidi, 2020. "A Meshless Method Based on the Laplace Transform for the 2D Multi-Term Time Fractional Partial Integro-Differential Equation," Mathematics, MDPI, vol. 8(11), pages 1-14, November.

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