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Solving fractional nonlinear Fredholm integro-differential equations by the second kind Chebyshev wavelet. (English) Zbl 1335.45002

Summary: We first construct the second kind Chebyshev wavelet. Then we present a computational method based on the second kind Chebyshev wavelet for solving a class of nonlinear Fredholm integro-differential equations of fractional order. The second kind Chebyshev wavelet operational matrix of fractional integration is derived and used to transform the equation to a system of algebraic equations. The method is illustrated by applications and the results obtained are compared with the existing ones in open literature. Moreover, comparing the methodology with the known technique shows that the present approach is more efficient and more accurate.

MSC:

45B05 Fredholm integral equations
34K07 Theoretical approximation of solutions to functional-differential equations
34K35 Control problems for functional-differential equations
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