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A Coupled System of Fractional Difference Equations with Nonlocal Fractional Sum Boundary Conditions on the Discrete Half-Line

Author

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  • Jarunee Soontharanon

    (Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand)

  • Saowaluck Chasreechai

    (Department of Mathematics, Faculty of Applied Science, King Mongkut’s University of Technology North Bangkok, Bangkok 10800, Thailand)

  • Thanin Sitthiwirattham

    (Mathematics Department, Faculty of Science and Technology, Suan Dusit University, Bangkok 10700, Thailand)

Abstract

In this article, we propose a coupled system of fractional difference equations with nonlocal fractional sum boundary conditions on the discrete half-line and study its existence result by using Schauder’s fixed point theorem. An example is provided to illustrate the results.

Suggested Citation

  • Jarunee Soontharanon & Saowaluck Chasreechai & Thanin Sitthiwirattham, 2019. "A Coupled System of Fractional Difference Equations with Nonlocal Fractional Sum Boundary Conditions on the Discrete Half-Line," Mathematics, MDPI, vol. 7(3), pages 1-22, March.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:3:p:256-:d:213219
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    References listed on IDEAS

    as
    1. Yuanyuan Pan & Zhenlai Han & Shurong Sun & Yige Zhao, 2012. "The Existence of Solutions to a System of Discrete Fractional Boundary Value Problems," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-15, March.
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    3. Weidong Lv, 2013. "Solvability for Discrete Fractional Boundary Value Problems with a -Laplacian Operator," Discrete Dynamics in Nature and Society, Hindawi, vol. 2013, pages 1-8, October.
    4. Fahd Jarad & Thabet Abdeljawad & Dumitru Baleanu & Kübra Biçen, 2012. "On the Stability of Some Discrete Fractional Nonautonomous Systems," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-9, February.
    5. Weidong Lv, 2014. "Solvability for a Discrete Fractional Three-Point Boundary Value Problem at Resonance," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-7, July.
    6. Huiqin Chen & Yaqiong Cui & Xianglan Zhao, 2014. "Multiple Solutions to Fractional Difference Boundary Value Problems," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-6, April.
    7. Saowaluk Chasreechai & Chanakarn Kiataramkul & Thanin Sitthiwirattham, 2015. "On Nonlinear Fractional Sum-Difference Equations via Fractional Sum Boundary Conditions Involving Different Orders," Mathematical Problems in Engineering, Hindawi, vol. 2015, pages 1-8, November.
    8. Zhiping Liu & Shugui Kang & Huiqin Chen & Jianmin Guo & Yaqiong Cui & Caixia Guo, 2015. "Existence of Solutions for Boundary Value Problem of a Caputo Fractional Difference Equation," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-5, August.
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    10. Yaqiong Cui & Shugui Kang & Zhiping Liu, 2015. "Existence of Positive Solutions to Boundary Value Problem of Caputo Fractional Differential Equation," Discrete Dynamics in Nature and Society, Hindawi, vol. 2015, pages 1-6, December.
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