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Approximate Series Solution of Non Linear Fractional Dispersive Equations Using Generalized Differential Transform Method

Deepanjan Das1

Section:Research Paper, Product Type: Journal Paper
Volume-7 , Issue-1 , Page no. 221-228, Jan-2019

CrossRef-DOI:   https://doi.org/10.26438/ijcse/v7i1.221228

Online published on Jan 31, 2019

Copyright © Deepanjan Das . 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: Deepanjan Das, “Approximate Series Solution of Non Linear Fractional Dispersive Equations Using Generalized Differential Transform Method,” International Journal of Computer Sciences and Engineering, Vol.7, Issue.1, pp.221-228, 2019.

MLA Style Citation: Deepanjan Das "Approximate Series Solution of Non Linear Fractional Dispersive Equations Using Generalized Differential Transform Method." International Journal of Computer Sciences and Engineering 7.1 (2019): 221-228.

APA Style Citation: Deepanjan Das, (2019). Approximate Series Solution of Non Linear Fractional Dispersive Equations Using Generalized Differential Transform Method. International Journal of Computer Sciences and Engineering, 7(1), 221-228.

BibTex Style Citation:
@article{Das_2019,
author = {Deepanjan Das},
title = {Approximate Series Solution of Non Linear Fractional Dispersive Equations Using Generalized Differential Transform Method},
journal = {International Journal of Computer Sciences and Engineering},
issue_date = {1 2019},
volume = {7},
Issue = {1},
month = {1},
year = {2019},
issn = {2347-2693},
pages = {221-228},
url = {https://www.ijcseonline.org/full_paper_view.php?paper_id=3488},
doi = {https://doi.org/10.26438/ijcse/v7i1.221228}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v7i1.221228}
UR - https://www.ijcseonline.org/full_paper_view.php?paper_id=3488
TI - Approximate Series Solution of Non Linear Fractional Dispersive Equations Using Generalized Differential Transform Method
T2 - International Journal of Computer Sciences and Engineering
AU - Deepanjan Das
PY - 2019
DA - 2019/01/31
PB - IJCSE, Indore, INDIA
SP - 221-228
IS - 1
VL - 7
SN - 2347-2693
ER -

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Abstract

In the present paper, generalized differential transform method (GDTM) is used for obtaining the approximate analytic solutions of non-linear dispersive partial differential equations of fractional order. The fractional derivatives are described in the Caputo sense.

Key-Words / Index Term

Fractional differential equations; Caputo fractional derivative; Generalized Differential transform method; Analytic solution. Mathematical Subject Classification (2010) — 26A33, 34A08, 35A22, 35R11, 35C10, 74H10

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