Numerical solution of mixed-type fractional functional differential equations using modified Lucas polynomials

• Type: Article in International Scientific Journal
• Date: 2019

Authors

B. P. Moghaddam (Author) Other; A. Dabiri (Author) Other; António M. Lopes (Author) FEUP; J. A. Tenreiro Machado (Author) Other

Journal

Title: COMPUTATIONAL & APPLIED MATHEMATICS

Vol. 38 No. 2

Pages: 1-12

ISSN: 1807-0302

Publisher: Springer Nature

Indexing

ISI Web of Knowledge - 1 Citation

Scopus - 9 Citations

Other information

Authenticus ID: P-00Q-AE8

DOI: 10.1007/s40314-019-0813-9

Abstract (EN): 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.

Language: English

Type (Professor's evaluation): Scientific

No. of pages: 12