Baleanu, DumitruKoundal, R.Kumar, R.Srivastava, K.Baleanu, Dumitru2022-03-022022-03-022021Koundal, R...at all (2021). "A Novel Collocated-Shifted Lucas Polynomial Approach for Fractional Integro-Differential Equations", International Journal of Applied and Computational Mathematics, Vol. 7, No. 4.2349-5103https://hdl.handle.net/20.500.12416/5066In current analysis, a novel computational approach depending on shifted Lucas polynomials (SLPs) and collocation points is established for fractional integro-differential equations (FIDEs) of Volterra/Fredholm type. A definition for integer order derivative and the lemma for fractional derivative of SLPs are developed. To convert the given equations into algebraic set of equations, zeros of the Lucas polynomial are used as collocation points. Novel theorems for convergence and error analysis are developed to design rigorous mathematical basis for the scheme. Accuracy is proclaimed through comparison with other known methods. © 2021, The Author(s), under exclusive licence to Springer Nature India Private Limited.eninfo:eu-repo/semantics/closedAccessCollocation PointExplicit FormulaFractional Integro-Differential EquationsShifted Lucas PolynomialA Novel Collocated-Shifted Lucas Polynomial Approach for Fractional Integro-Differential EquationsA Novel Collocated-Shifted Lucas Polynomial Approach for Fractional Integro-Differential EquationsArticle7410.1007/s40819-021-01108-0