The pivotal aim of this article is to propose an efficient computational technique namely q-homotopy analysis transform method (q-HATM) to solve the linear and nonlinear time-fractional partial differential equation. In q-HATM iterative process, we investigate the behavior of independent variable for convergent series solution in admissible range. The q-HATM technique manipulates and controls the series solution, which rapidly converges to the exact solution in large admissible domain in a very efficient way. The solution procedure and explanation show the flexible efficiency of q-HATM, compared to other existing classical techniques for solving three different kind of time-fractional partial differential equations.
@article{bwmeta1.element.doi-10_1515_wwfaa-2017-0001,
author = {Jagdev Singh and Devendra Kumar and Ram Swroop and Ram Prakash Sharma},
title = {An efficient computational approach for linear and nonlinear fractional differential equations},
journal = {Waves, Wavelets and Fractals},
volume = {3},
year = {2017},
pages = {1-13},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.doi-10_1515_wwfaa-2017-0001}
}
Jagdev Singh; Devendra Kumar; Ram Swroop; Ram Prakash Sharma. An efficient computational approach for linear and nonlinear fractional differential equations. Waves, Wavelets and Fractals, Tome 3 (2017) pp. 1-13. http://gdmltest.u-ga.fr/item/bwmeta1.element.doi-10_1515_wwfaa-2017-0001/