Uddin, IzharBaleanu, DumitruKhatoon, Sabiya2022-03-222025-09-182022-03-222025-09-182021Khatoon, Sabiya; Uddin, Izhar; Baleanu, Dumitru (2021). "Approximation of fixed point and its application to fractional differential equation", Journal of Applied Mathematics and Computing, Vol. 66, No. 1-2, pp. 507-525.1598-58651865-2085https://doi.org/10.1007/s12190-020-01445-1https://hdl.handle.net/20.500.12416/12612In this study, we prove some convergence results for generalized alpha-Reich-Suzuki non-expansive mappings via a fast iterative scheme. We validate our result by constructing a numerical example. Also, we compare our results with the other well known iterative schemes. Finally, we calculate the approximate solution of nonlinear fractional differential equation.eninfo:eu-repo/semantics/closedAccessGeneralized Alpha-Reich-Suzuki Non-Expansive MappingsNonlinear Fractional Differential EquationFixed PointArticle10.1007/s12190-020-01445-12-s2.0-85093930577