Numerical solution of mixed-type fractional functional differential equations using modified Lucas polynomials
Computational and Applied Mathematics
There is an increasing interest in the field of functional and fractional differential equations. The lack of closed-form analytical solutions motivates the development of numerical methods for solving mixed-type fractional-order functional differential equations (MFFDEs) with retarded and neutral terms. This paper studies the solution of MFFDEs by a collocation technique with modified Lucas polynomials. The proposed method uses operational matrices to obtain an approximate solution by means of a system of linear algebraic equations. The accuracy of the proposed algorithm is verified with three illustrative examples.
Link to Published Version
Moghaddam, B. P., Dabiri, A., Lopes, A. M., & Machado, J. A. T. (2019). Numerical solution of mixed-type fractional functional differential equations using modified Lucas polynomials. Computational and Applied Mathematics, 38(2), 46. https://doi.org/10.1007/s40314-019-0813-9