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Forward and inverse techniques for fuzzy fractional systems applied to radon transport in soil chambers

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  • Rao, T.D.
  • Chakraverty, S.

Abstract

This targeted work deals with the forward and inverse approaches to handle fractional radon diffusion problems in an uncertain environment. In general, fractional differential equations may model certain problems more efficiently than differential equations of integer order. As such, this work proposes Mittage-Leffler function method to handle fuzzy fractional radon transport mechanism. Further, inverse methods are used to estimate the unknown parameters that characterize the physical systems when data from experimental measurements are already known. As such, a fractional Euler type inverse approach is also proposed in this work to estimate the involved fuzzy parameters. Finally, for the validation of the results, we have used the experimental data and crisp models.

Suggested Citation

  • Rao, T.D. & Chakraverty, S., 2021. "Forward and inverse techniques for fuzzy fractional systems applied to radon transport in soil chambers," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
    • Handle: RePEc:eee:chsofr:v:147:y:2021:i:c:s0960077921002708
    DOI: 10.1016/j.chaos.2021.110916
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    References listed on IDEAS

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    1. S. Z. Rida & A. A. M. Arafa, 2011. "New Method for Solving Linear Fractional Differential Equations," International Journal of Differential Equations, Hindawi, vol. 2011, pages 1-8, September.
    2. Chalco-Cano, Y. & Román-Flores, H., 2008. "On new solutions of fuzzy differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 38(1), pages 112-119.
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