The aim of the present study is to extend the (G'/G)-expansion method to fractional differential-difference equations of rational type. Particular time-fractional models are considered to show the strength of the method. Three types of exact solutions are observed: hyperbolic, trigonometric and rational. Exact solutions in terms of topological solitons and singular periodic functions are also obtained. As far as we are aware, our results have not been published elsewhere previously.
引用
收藏
页码:132 / 144
页数:13
相关论文
共 40 条
[1]
[Anonymous], 1993, An Introduction to The Fractional Calculus and Fractional Differential Equations
[2]
[Anonymous], 2010, Nonlinear Sci. Lett. A, DOI DOI 10.4236/OALIB.1106601
机构:
Univ Franche Comte, CNRS, UMR 6623, Equipe Math Besancon, F-25030 Besancon, FranceUniv Franche Comte, CNRS, UMR 6623, Equipe Math Besancon, F-25030 Besancon, France
机构:
Zagazig Univ, Dept Math, Fac Sci, Zagazig, Egypt
Taif Univ, Fac Sci, Dept Math, At Taif, Saudi ArabiaZagazig Univ, Dept Math, Fac Sci, Zagazig, Egypt
Gepreel, Khaled A.
Omran, Saleh
论文数: 0引用数: 0
h-index: 0
机构:
Taif Univ, Fac Sci, Dept Math, At Taif, Saudi Arabia
S Valley Univ, Dept Math, Fac Sci, Cairo, EgyptZagazig Univ, Dept Math, Fac Sci, Zagazig, Egypt
机构:
Univ Franche Comte, CNRS, UMR 6623, Equipe Math Besancon, F-25030 Besancon, FranceUniv Franche Comte, CNRS, UMR 6623, Equipe Math Besancon, F-25030 Besancon, France
机构:
Zagazig Univ, Dept Math, Fac Sci, Zagazig, Egypt
Taif Univ, Fac Sci, Dept Math, At Taif, Saudi ArabiaZagazig Univ, Dept Math, Fac Sci, Zagazig, Egypt
Gepreel, Khaled A.
Omran, Saleh
论文数: 0引用数: 0
h-index: 0
机构:
Taif Univ, Fac Sci, Dept Math, At Taif, Saudi Arabia
S Valley Univ, Dept Math, Fac Sci, Cairo, EgyptZagazig Univ, Dept Math, Fac Sci, Zagazig, Egypt