Yousefi, S. A.Jafari, H.Baleanu, D.Firoozjaee, M. A.02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2017-04-202025-09-182017-04-202025-09-182015Firoozjaee, M. A...et al. (2015). On a numerical approach to solve multi-order fractional differential equations with initial/boundary conditions. Journal of Computational and Nonlinear Dynamics, 10(6). http://dx.doi.org/10.1115/1.40297851555-14231555-1415https://doi.org/10.1115/1.4029785https://hdl.handle.net/123456789/12610Arab Firoozjaee, Mohmmad/0000-0002-3892-6963; Jafari, Hossein/0000-0001-6807-6675In this manuscript, a new method is introduced for solving multi-order fractional differential equations. By transforming the fractional differential equations into an optimization problem and using polynomial basis functions, we obtain the system of algebraic equation. Then, we solve the system of nonlinear algebraic equation and obtain the coefficients of polynomial expansion. Also, we show the convergence of the method. Some numerical examples are presented which illustrate the theoretical results and the performance of the method.eninfo:eu-repo/semantics/closedAccessArticle10.1115/1.40297852-s2.0-84937022176