A novel approach to approximate fractional derivative with uncertain conditions

Ahmadian, AliSalahshour, S.Ali-Akbari, Mahdiİsmail, F.Baleanu, Dumitru2019-12-102019-12-102017Ahmadian, A...et al. (2017). A novel approach to approximate fractional derivative with uncertain conditions Chaos Solitons & Fractals, 104, 68-76 .0960-0779http://hdl.handle.net/20.500.12416/2141This paper focuses on providing a new scheme to find the fuzzy approximate solution of fractional differential equations (FDEs) under uncertainty. The Caputo-type derivative base on the generalized Hukuhara differentiability is approximated by a linearization formula to reduce the corresponding uncertain FDE to an ODE under fuzzy concept. This new approach may positively affect on the computational cost and easily apply for the other types of uncertain fractional-order differential equation. The performed numerical simulations verify the proficiency of the presented schemeeninfo:eu-repo/semantics/openAccessBasset ProblemUncertaintyCaputo-Type DerivativeLaplace TransformsFractional Differential EquationsA novel approach to approximate fractional derivative with uncertain conditionsA Novel Approach To Approximate Fractional Derivative With Uncertain ConditionsArticle104687610.1016/j.chaos.2017.07.026