chebyshev cardinal functions: an effective tool for solving nonlinear volterra and fredholm integro-differential equations of fractional order
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abstract
a computational method for numerical solution of a nonlinear volterra and fredholm integro-differentialequations of fractional order based on chebyshev cardinal functions is introduced. the chebyshev cardinaloperational matrix of fractional derivative is derived and used to transform the main equation to a system ofalgebraic equations. some examples are included to demonstrate the validity and applicability of the technique.
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Journal title:
iranian journal of science and technology (sciences)ISSN 1028-6276
volume 37
issue 1 2013
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