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- W4384303558 abstract "Based on the basic theorem of fractional calculus and the cubic B-spline theory, the cubic B-spline method for numerical solution of linear Caputo-Fabrizio fractional differential equations was proposed. The basic theorem of fractional calculus was used to transform the initial value problem into an expression about the solution function, and the cubic B-spline function was used to approximate the integrand function in the expression. Then the numerical solutions of the Caputo-Fabrizio fractional differential equations were calculated. The error estimation, convergence and stability of the constructed cubic B-spline method were given theoretically. Numerical experiments show that, the presented numerical method is feasible and effective in solving a class of Caputo-Fabrizio fractional differential equations, and the computation accuracy and efficiency are better than the 2 existing numerical methods." @default.
- W4384303558 created "2023-07-15" @default.
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- W4384303558 date "2023-01-01" @default.
- W4384303558 modified "2023-09-29" @default.
- W4384303558 title "The Cubic B-Spline Method for a Class of Caputo-Fabrizio Fractional Differential Equations" @default.
- W4384303558 doi "https://doi.org/10.21656/1000-0887.430195" @default.
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