ITM Web Conf.
Volume 29, 20191st International Conference on Computational Methods and Applications in Engineering (ICCMAE 2018)
|Number of page(s)
|15 October 2019
Hybrid approximations for fractional calculus
Department of Mathematics and Statistics, Mississippi State University,
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In this paper, a numerical method for solving the fractional differential equations is presented. The method is based upon hybrid functions approximation. The properties of hybrid functions consisting ofblock-pulse functions and Taylor 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 initial value problems for fractional differential equations to a system of algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique.
Key words: Hybrid functions / fractional differential equations / block-pulse / Taylor polynomials / Caputo derivative / numerical solution
© The Authors, published by EDP Sciences, 2019
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