Solving Multi-Term Orders Fractional Differential Equations by Operational Matrices of Bps With Convergence Analysis

Rostamy, D.Baleanu, DumitruAlipour, M.Jafari, H.Baleanu, D.Matematik2025-09-232025-09-232013Rostamy, Davood...et al. (2013). "Solving multi-term orders fractional differential equations by operational matrices of BPs with convergence analysis", Romanian Reports in Physics, Vol. 65, No. 2, pp. 334-349.1841-8759https://hdl.handle.net/20.500.12416/15606In this paper, we present a numerical method for solving a class of fractional differential equations (FDEs). Based on Bernstein Polynomials (BPs) basis, new matrices are utilized to reduce the multi-term orders fractional differential equation to a system of algebraic equations. Convergence analysis is shown by several theorems. Illustrative examples are included to demonstrate the validity and applicability of this method.eninfo:eu-repo/semantics/closedAccessBernstein PolynomialsCaputo DerivativeConvergence AnalysisFractional Differential EquationsOperational MatrixSolving Multi-Term Orders Fractional Differential Equations by Operational Matrices of Bps With Convergence AnalysisSolving multi-term orders fractional differential equations by operational matrices of BPs with convergence analysisArticle2-s2.0-84877270201