Fractional-order Legendre functions for solving fractional-order differential equations

361 citations recorded by the source corpus.

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

Solution of fractional-order differential equations based on the operational matrices of new fractional Bernstein functions (2017, methodology): “, 2010), Jacobi operational matrix method (Kazem, 2013), Variational iteration method (Odibat and Momani, 2006), Legendre functions method (Kazem et al., 2013), Tau methods (Rad et al.”
A fractional‐order Jacobi Tau method for a class of time‐fractional PDEs with variable coefficients (2016, background): “x/ [42]; the shifted Chebyshev functions of the second kind U .”
A review of operational matrices and spectral techniques for fractional calculus (2015, methodology): “[70] defined new orthogonal functions, based on Legendre polynomials, to obtain an efficient spectral technique for multi-term FDEs.”
New spectral techniques for systems of fractional differential equations using fractional-order generalized Laguerre orthogonal functions (2014, methodology): “[25] define a new orthogonal functions based on Legendre polynomials to obtain an efficient spectral technique for multi-term FDEs, the authors of [32] extended this definition and presented the operational matrix of fractional derivative and integration for such functions to construct a new tau tec”