Abstract
This paper presents the derivation of a new operational matrix of Caputo fractional derivatives through Hermite polynomials with Tau method to solve a set of fractional differential equations (FDEs). The proposed algorithm is intended to solve linear type of FDEs with the pre-defined conditions into a matrix form for redefining the complete problem as a system of a algebraic equations. The proposed strategy is then applied to solve the simplified FDEs in linear form. To assess the performance of the proposed method, exact and approximate solutions for a number of illustrative examples are obtained which prove the effectiveness of the idea.
Citation
Hatice Yalman Kosunalp. Mustafa Gulsu. "Towards solving linear fractional differential equations with Hermite operational matrix." Adv. Studies: Euro-Tbilisi Math. J. 16 (2) 47 - 61, June 2023. https://doi.org/10.32513/asetmj/193220082316
Information