Approximate Solution for a 2-D Fractional Differential Equation With Discrete Random Noise

Baleanu, DumitruTran Ngoc ThachO'Regan, DonalNguyen Huu CanNguyen Huy Tuan02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2020-05-152025-09-182020-05-152025-09-182020Tuan, N.H...et al. (2020). "Approximate Solution for A 2-D Fractional Differential Equation With Discrete Random Noise",Chaos, Solitons and Fractals, Vol. 133.0960-07791873-2887https://doi.org/10.1016/j.chaos.2020.109650https://hdl.handle.net/123456789/10891Nguyen, Huu-Can/0000-0001-6198-1015; Nguyen Huy, Tuan/0000-0002-6962-1898We study a boundary value problem for a 2-D fractional differential equation (FDE) with random noise. This problem is not well-posed. Hence, we use truncated regularization method to establish regularized solutions for the such problem. Finally, the convergence rate of this approximate solution and a numerical example are investigated. (C) 2020 Elsevier Ltd. All rights reserved.eninfo:eu-repo/semantics/closedAccessFractional Differential EquationRegularizationRandom NoiseApproximate Solution for a 2-D Fractional Differential Equation With Discrete Random NoiseApproximate Solution for A 2-D Fractional Differential Equation With Discrete Random NoiseArticle10.1016/j.chaos.2020.1096502-s2.0-85078780812