Spline collocation methods for systems of fuzzy fractional differential equations

Zahra Alijani, Dumitru Baleanu, Babak Shiri and Guo-Cheng Wu

Chaos, Solitons & Fractals, 2020, vol. 131, issue C

Abstract: In this paper, systems of fuzzy fractional differential equations with a lateral type of the Hukuhara derivative and the generalized Hukuhara derivative are numerically studied. Collocation method on discontinuous piecewise polynomial spaces is proposed. Convergence of the proposed method is analyzed. The superconvergent results on the graded mesh are studied. Examples are provided to support theoretical results. Finally, the effect of uncertainty in a diabetes model and its resulting complications is investigated as a practical application.

Keywords: Fuzzy fractional differential equations; Dynamical system; Spline collocation methods; Hukuhara derivative; Uncertainty; Diabetes and its resulting complications (search for similar items in EconPapers)
Date: 2020
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Citations: View citations in EconPapers (5)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:131:y:2020:i:c:s096007791930462x

DOI: 10.1016/j.chaos.2019.109510

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