An efficient computational approach for linear and nonlinear fractional differential equations

• Autorzy: Jagdev Singh , Devendra Kumar , Ram Swroop , Ram Prakash Sharma
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

Laplace transform; Time-fractional partial differential equations; q-homotopy analysis transform method

• Wydawca: De Gruyter Open
• Czasopismo: Waves, Wavelets and Fractals
• Rocznik: 2017
• Tom: 3
• Numer: 1
• Strony: 1-13

Daty

wydano

2017-04-01

otrzymano

2016-06-09

zaakceptowano

2017-01-23

online

2017-04-27

Twórcy

autor

Jagdev Singh

• Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan,

autor

Devendra Kumar

• Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan,

autor

Ram Swroop

• Department of Mathematics, Arya Institute of Engineering & Technology, Riico Kukas, Jaipur-303101, Rajasthan,

autor

Ram Prakash Sharma

• Department of Mathematics, JECRC University, Jaipur-303905, Rajasthan,

Identyfikatory

DOI

10.1515/wwfaa-2017-0001