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Fuzzy Caputo q-fractional linear equations on the time scale Tq

Author

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  • Basheer, Saeed F.A.
  • Marabeh, Mohammad A.A.

Abstract

In this paper, we explore various concepts in q-fractional calculus and extend them to the fuzzy domain. Specifically, we define fuzzy q-exponential and fuzzy q-Mittag-Leffler functions using r-cuts. Additionally, we evaluate the fuzzy Caputo q-derivatives of the fuzzy q-exponential functions and introduce the concept of fuzzy q-Laplace transform. Furthermore, we provide a formula for the fuzzy q-Laplace transform of the fuzzy Caputo q-fractional derivative.

Suggested Citation

  • Basheer, Saeed F.A. & Marabeh, Mohammad A.A., 2023. "Fuzzy Caputo q-fractional linear equations on the time scale Tq," Chaos, Solitons & Fractals, Elsevier, vol. 176(C).
    • Handle: RePEc:eee:chsofr:v:176:y:2023:i:c:s0960077923010822
    DOI: 10.1016/j.chaos.2023.114180
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    References listed on IDEAS

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    1. Thabet Abdeljawad & Betül Benli & Dumitru Baleanu, 2012. "A Generalized q -Mittag-Leffler Function by q -Captuo Fractional Linear Equations," Abstract and Applied Analysis, Hindawi, vol. 2012, pages 1-11, May.
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