1. Numerical solution of nonlinear fractional integro-differential equations by hybrid functions.
- Author
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Mashayekhi, S. and Razzaghi, M.
- Subjects
- *
INTEGRO-differential equations , *NUMERICAL solutions to difference equations , *NONLINEAR analysis , *MATHEMATICAL functions , *BERNOULLI polynomials , *APPROXIMATION theory - Abstract
In this paper, a new numerical method for solving nonlinear fractional integro-differential equations is presented. The method is based upon hybrid functions approximation. The properties of hybrid functions consisting of block-pulse functions and Bernoulli polynomials are presented. The Riemann–Liouville fractional integral operator for hybrid functions is given. This operator is then utilized to reduce the solution of the nonlinear fractional integro-differential equations to a system of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique. [ABSTRACT FROM AUTHOR]
- Published
- 2015
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