ABSTRACT
In this paper, an efficient and robust numerical technique is suggested to solve fractional Volterra integro-differential equations (FVIDEs). The proposed method is mainly based on the generalized fractional-order Legendre wavelets (GFLWs), their operational matrices and the Collocation method. The main advantage of the proposed method is that, by using the GFLWs basis, it can provide more efficient and accurate solution for FVIDEs in compare to integer-order wavelet basis. A comparison between the achieved results confirms accuracy and superiority of the proposed GFLWs method for solving FVIDEs. Error analysis and convergence of the GFLWs basis is provided.
Acknowledgments
The author is grateful to the referees for their careful reading, insightful comments and helpful suggestions which have led to improvement of the paper.
Disclosure statement
No potential conflict of interest was reported by the authors.
ORCID
Fakhrodin Mohammadi http://orcid.org/0000-0001-9814-0367