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Solution of System of Fractional Differential Equations Using Variational Iteration Method

Shweta Pandey1 , Sandeep Dixit2

Section:Research Paper, Product Type: Journal Paper
Volume-6 , Issue-8 , Page no. 797-802, Aug-2018

CrossRef-DOI:   https://doi.org/10.26438/ijcse/v6i8.797802

Online published on Aug 31, 2018

Copyright © Shweta Pandey, Sandeep Dixit . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

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IEEE Style Citation: Shweta Pandey, Sandeep Dixit, “Solution of System of Fractional Differential Equations Using Variational Iteration Method,” International Journal of Computer Sciences and Engineering, Vol.6, Issue.8, pp.797-802, 2018.

MLA Style Citation: Shweta Pandey, Sandeep Dixit "Solution of System of Fractional Differential Equations Using Variational Iteration Method." International Journal of Computer Sciences and Engineering 6.8 (2018): 797-802.

APA Style Citation: Shweta Pandey, Sandeep Dixit, (2018). Solution of System of Fractional Differential Equations Using Variational Iteration Method. International Journal of Computer Sciences and Engineering, 6(8), 797-802.

BibTex Style Citation:
@article{Pandey_2018,
author = {Shweta Pandey, Sandeep Dixit},
title = {Solution of System of Fractional Differential Equations Using Variational Iteration Method},
journal = {International Journal of Computer Sciences and Engineering},
issue_date = {8 2018},
volume = {6},
Issue = {8},
month = {8},
year = {2018},
issn = {2347-2693},
pages = {797-802},
url = {https://www.ijcseonline.org/full_paper_view.php?paper_id=2773},
doi = {https://doi.org/10.26438/ijcse/v6i8.797802}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i8.797802}
UR - https://www.ijcseonline.org/full_paper_view.php?paper_id=2773
TI - Solution of System of Fractional Differential Equations Using Variational Iteration Method
T2 - International Journal of Computer Sciences and Engineering
AU - Shweta Pandey, Sandeep Dixit
PY - 2018
DA - 2018/08/31
PB - IJCSE, Indore, INDIA
SP - 797-802
IS - 8
VL - 6
SN - 2347-2693
ER -

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Abstract

In this paper, an analytical approximate solution of a system of fractional differential equations, fractional heat-like two-dimensional equation and stiff system of nonlinear differential equations is obtained using variational iteration method. The results reveal that our method is effective straightforward and very simple. The numerical findings for different cases of problems are presented graphically. The results reveal that the variational iteration method is convenient, stable, efficient, much easier and performs extremely good in terms of simplicity and efficiency.

Key-Words / Index Term

Variational iteration method; fractional heat-like two-dimensional equation; System of fractional differential equation; Caputo fractional derivative

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