Sakar, Mehmet GiyasSaldir, OnurErdogan, Fevzi2025-05-102025-05-1020180101-82051807-030210.1007/s40314-018-0672-92-s2.0-85058180516https://doi.org/10.1007/s40314-018-0672-9https://hdl.handle.net/20.500.14720/16074Saldir, Onur/0000-0002-5292-9458; Sakar, Mehmet Giyas/0000-0002-1911-2622In this article, we construct a novel iterative approach that depends on reproducing kernel method for Cahn-Allen equation with Caputo derivative. Representation of solution and convergence analysis are presented theoretically. Numerical results are given as tables and graphics with intent to show efficiency and power of method. The results demonstrate that approximate solution uniformly converges to exact solution for Cahn-Allen equation with fractional derivative.eninfo:eu-repo/semantics/closedAccessCaputo DerivativeCahn-Allen EquationReproducing Kernel MethodConvergence35R1146E22Article375Q1Q159515964WOS:000452895300021