Solutions of time-fractional differential equations using homotopy analysis method
Analysis of PDEs
2020-04-07 v1
Abstract
We have used the homotopy analysis method to obtain solutions of linear and nonlinear fractional partial differential differential equations with initial conditions. We replace the first order time derivative by -Caputo fractional derivative, and also we compare the results obtained by the homotopy analysis method with the exact solutions.
Cite
@article{arxiv.2004.02365,
title = {Solutions of time-fractional differential equations using homotopy analysis method},
author = {D. S. Oliveira and E. Capelas de Oliveira},
journal= {arXiv preprint arXiv:2004.02365},
year = {2020}
}
Comments
14 pages, 9 figures