TY - JOUR
TI - Modified Laguerre wavelet based Galerkin method for fractional and fractional-order delay differential equations
AU - Secer Aydin
AU - Ozdemir Neslihan
JN - Thermal Science
PY - 2019
VL - 23
IS - 11
SP - 13
EP - 21
PT - Article
AB - The application of modified Laguerre wavelet with respect to the given  conditions by Galerkin method to an approximate solution of fractional and  fractional-order delay differential equations is studied in this paper. For  the concept of fractional derivative is used Caputo sense by using  Riemann-Liouville fractional integral operator. The presented method here is  tested on several problems. The approximate solutions obtained by presented  method are compared with the exact solutions and is shown to be a very  efficient and powerful tool for obtaining approximate solutions of  fractional and fractional-order delay differential equations . Some tables  and figures are presented to reveal the performance of the presented method.