期刊
NUMERICAL ALGORITHMS
卷 74, 期 1, 页码 223-245出版社
SPRINGER
DOI: 10.1007/s11075-016-0146-3
关键词
Bernoulli wavelet; Fractional delay differential equations; Caputo derivative; Operational matrix; Numerical solution
In this research, a Bernoulli wavelet operational matrix of fractional integration is presented. Bernoulli wavelets and their properties are employed for deriving a general procedure for forming this matrix. The application of the proposed operational matrix for solving the fractional delay differential equations is explained. Also, upper bound for the error of operational matrix of the fractional integration is given. This operational matrix is utilized to transform the problem to a set of algebraic equations with unknown Bernoulli wavelet coefficients. Several numerical examples are solved to demonstrate the validity and applicability of the presented technique.
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