Solving a class of variable order nonlinear fractional integral differential equations by using reproducing kernel function

Autor: Zhi-Yuan Li, Mei-Chun Wang, Yu-Lan Wang
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: AIMS Mathematics, Vol 7, Iss 7, Pp 12935-12951 (2022)
Druh dokumentu: article
ISSN: 2473-6988
DOI: 10.3934/math.2022716?viewType=HTML
Popis: In this paper, reproducing kernel interpolation collocation method is explored for nonlinear fractional integral differential equations with Caputo variable order. In order to testify the feasibility of this method, several examples are studied from the different values of parameters. In addition, the influence of the parameters of the Jacobi polynomial on the numerical results is studied. Our results reveal that the present method is effective and provide highly precise numerical solutions for solving such fractional integral differential equations.
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