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On Fractional Symmetric Hahn Calculus

Author

Listed:
  • Nichaphat Patanarapeelert

    (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 10300, Thailand)

Abstract

In this paper, we study fractional symmetric Hahn difference calculus. The new idea of the symmetric Hahn difference operator, the fractional symmetric Hahn integral, and the fractional symmetric Hahn operators of Riemann–Liouville and Caputo types are presented. In addition, we formulate some fundamental properties based on these fractional symmetric Hahn operators.

Suggested Citation

  • Nichaphat Patanarapeelert & Thanin Sitthiwirattham, 2019. "On Fractional Symmetric Hahn Calculus," Mathematics, MDPI, vol. 7(10), pages 1-18, September.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:10:p:873-:d:269138
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    References listed on IDEAS

    as
    1. A. B. Malinowska & D. F. M. Torres, 2010. "The Hahn Quantum Variational Calculus," Journal of Optimization Theory and Applications, Springer, vol. 147(3), pages 419-442, December.
    2. M. H. Annaby & A. E. Hamza & K. A. Aldwoah, 2012. "Hahn Difference Operator and Associated Jackson–Nörlund Integrals," Journal of Optimization Theory and Applications, Springer, vol. 154(1), pages 133-153, July.
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