Author(s):
1. ALI KHALOUTA:
Laboratory of Fundamental and Numerical Mathematics, Department of Mathematics, Faculty of Sciences, Ferhat Abbas Setif University 1,19000 Setif,Algeria
2. ABDELOUAHAB KADEM:
Laboratory of Fundamental and Numerical Mathematics, Department of Mathematics, Faculty of Sciences, Ferhat Abbas Setif University 1,19000 Setif,Algeria
Abstract:
In this work, a new e cient method called, Elzaki's fractional decomposition method (EFDM) has been used to give an approximate series solutions to time-fractional Sine-Gordon equation. The time-fractional derivatives are described in the Caputo and Caputo-Fabrizio sense. The EFDM is based on the combination of two di erent methods which are: the Elzaki transform method and the Adomian decomposition method. To demonstrate the accuracy and e ciency of the proposed method, a numerical example is provided. The obtained results indicate that the EFDM is simple and practical for solving the fractional partial di erential equations which appear in various elds of applied sciences.
Page(s):
27-43
DOI:
DOI not available
Published:
Journal: Journal of Prime Research in Mathematics, Volume: 16, Issue: 2, Year: 2020
Keywords:
Adomian decomposition method
,
Caputo fractional derivative operator
,
Elzaki transform
,
timefractional SineGordon equation
,
approximate series solution
,
CaputoFabrizio fractional derivative operator
References:
References are not available for this document.
Citations
Citations are not available for this document.