Baleanu, DumitruDuc Le Thi MinhTuan Nguyen HuyNgoc Tran BaoNguyen Huy, TuanTran Bao, NgocBao, Ngoc TranLe Thi Minh, DucMinh, Duc Le ThiHuy, Tuan Nguyen2021-01-072025-09-182021-01-072025-09-182020Bao, Ngoc Tran...et al. (2020). "Regularity results for fractional diffusion equations involving fractional derivative with Mittag-Leffler kernel", Mathematical Methods in the Applied Sciences, Vol. 43, No. 12, pp. 7208-7226.0170-42141099-1476https://doi.org/10.1002/mma.6459https://hdl.handle.net/20.500.12416/11784Nguyen Huy, Tuan/0000-0002-6962-1898This paper studies partial differential equation model with the new general fractional derivatives involving the kernels of the extended Mittag-Leffler type functions. An initial boundary value problem for the anomalous diffusion of fractional order is analyzed and considered. The fractional derivative with Mittag-Leffler kernel or also called Atangana and Baleanu fractional derivative in time is taken in the Caputo sense. We obtain results on the existence, uniqueness, and regularity of the solution.eninfo:eu-repo/semantics/closedAccessAtangana-Baleanu OperatorExistenceFractional Diffusion EquationInitial Value ProblemRegularityAtangana–Baleanu OperatorArticle10.1002/mma.64592-s2.0-85085551531