Solving multi-term orders fractional differential equations by operational matrices of BPs with convergence analysis

Baleanu, DumitruRostamy, DavoodAlipour, MohsenJafari, HosseinBaleanu, Dumitru2023-01-042023-01-042013Rostamy, 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/20.500.12416/6037In 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 AnalysisArticle652334349