An efficient computational approach for linear and nonlinear fractional differential equations

Jagdev Singh, et al. "An efficient computational approach for linear and nonlinear fractional differential equations." Waves, Wavelets and Fractals 3.1 (2017): 1-13. <http://eudml.org/doc/288141>.

@article{JagdevSingh2017,
abstract = {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.},
author = {Jagdev Singh, Devendra Kumar, Ram Swroop, Ram Prakash Sharma},
journal = {Waves, Wavelets and Fractals},
keywords = {Laplace transform; Time-fractional partial differential equations; q-homotopy analysis transform method},
language = {eng},
number = {1},
pages = {1-13},
title = {An efficient computational approach for linear and nonlinear fractional differential equations},
url = {http://eudml.org/doc/288141},
volume = {3},
year = {2017},
}

TY - JOUR
AU - Jagdev Singh
AU - Devendra Kumar
AU - Ram Swroop
AU - Ram Prakash Sharma
TI - An efficient computational approach for linear and nonlinear fractional differential equations
JO - Waves, Wavelets and Fractals
PY - 2017
VL - 3
IS - 1
SP - 1
EP - 13
AB - 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.
LA - eng
KW - Laplace transform; Time-fractional partial differential equations; q-homotopy analysis transform method
UR - http://eudml.org/doc/288141
ER -