An efficient computational approach for linear and nonlinear fractional differential equations

Jagdev Singh; Devendra Kumar; Ram Swroop; Ram Prakash Sharma

Waves, Wavelets and Fractals (2017)

  • Volume: 3, Issue: 1, page 1-13
  • ISSN: 2449-5557

Abstract

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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.

How to cite

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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 -

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