Rational exponential solutions of conformable space-time fractional equal-width equations
In this paper, the rational exponential solutions of two space-time fractional equal-width (FEW) equations are explored in the conformable derivative sense. The way to reach explicit exact solutions is to transform the fractional order PDEs into a nonlinear ODEs of discrete order through some proper...
| Main Author: | |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2019-01-01
|
| Series: | Nonlinear Engineering |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/nleng-2018-0076 |
| id |
doaj-2607f8fc6bfd4a0a908f7cd48a4e37ec |
|---|---|
| record_format |
Article |
| spelling |
doaj-2607f8fc6bfd4a0a908f7cd48a4e37ec2021-09-06T19:21:07ZengDe GruyterNonlinear Engineering2192-80102192-80292019-01-018135035510.1515/nleng-2018-0076nleng-2018-0076Rational exponential solutions of conformable space-time fractional equal-width equationsZafar Asim0Department of Mathematics, COMSATS University Islamabad, Vehari Campus, Islamabad, PakistanIn this paper, the rational exponential solutions of two space-time fractional equal-width (FEW) equations are explored in the conformable derivative sense. The way to reach explicit exact solutions is to transform the fractional order PDEs into a nonlinear ODEs of discrete order through some properties of conformable derivatives and a fractional complex transforms. The subsequent equations have been elucidated by employing the exp a function approach. Some new exact solutions of the said equations are effectively formulated and graphically conveyed with the aid of symbolic computation in Mathematica and MATLAB respectively.https://doi.org/10.1515/nleng-2018-0076space-time fractional equal-width equationsconformable derivativesexp a function approachrational exponential solutions |
| collection |
DOAJ |
| language |
English |
| format |
Article |
| sources |
DOAJ |
| author |
Zafar Asim |
| spellingShingle |
Zafar Asim Rational exponential solutions of conformable space-time fractional equal-width equations Nonlinear Engineering space-time fractional equal-width equations conformable derivatives exp a function approach rational exponential solutions |
| author_facet |
Zafar Asim |
| author_sort |
Zafar Asim |
| title |
Rational exponential solutions of conformable space-time fractional equal-width equations |
| title_short |
Rational exponential solutions of conformable space-time fractional equal-width equations |
| title_full |
Rational exponential solutions of conformable space-time fractional equal-width equations |
| title_fullStr |
Rational exponential solutions of conformable space-time fractional equal-width equations |
| title_full_unstemmed |
Rational exponential solutions of conformable space-time fractional equal-width equations |
| title_sort |
rational exponential solutions of conformable space-time fractional equal-width equations |
| publisher |
De Gruyter |
| series |
Nonlinear Engineering |
| issn |
2192-8010 2192-8029 |
| publishDate |
2019-01-01 |
| description |
In this paper, the rational exponential solutions of two space-time fractional equal-width (FEW) equations are explored in the conformable derivative sense. The way to reach explicit exact solutions is to transform the fractional order PDEs into a nonlinear ODEs of discrete order through some properties of conformable derivatives and a fractional complex transforms. The subsequent equations have been elucidated by employing the exp a function approach. Some new exact solutions of the said equations are effectively formulated and graphically conveyed with the aid of symbolic computation in Mathematica and MATLAB respectively. |
| topic |
space-time fractional equal-width equations conformable derivatives exp a function approach rational exponential solutions |
| url |
https://doi.org/10.1515/nleng-2018-0076 |
| work_keys_str_mv |
AT zafarasim rationalexponentialsolutionsofconformablespacetimefractionalequalwidthequations |
| _version_ |
1717775113442557952 |