APPLICATIONS OF FRACTIONAL COMPLEX TRANSFORM AND (G'/G)-EXPANSION METHOD FOR TIME-FRACTIONAL DIFFERENTIAL EQUATIONS | Zendy

Ahmet Bekir | Zendy; Özkan Güner | Zendy; Mohammad Mirzazadeh | Zendy

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APPLICATIONS OF FRACTIONAL COMPLEX TRANSFORM AND (G'/G)-EXPANSION METHOD FOR TIME-FRACTIONAL DIFFERENTIAL EQUATIONS

Author(s) -

Ahmet Bekir,

Özkan Güner,

Mohammad Mirzazadeh

Publication year - 2016

Publication title -

journal of applied analysis and computation

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.55

H-Index - 21

eISSN - 2158-5644

pISSN - 2156-907X

DOI - 10.11948/2016011

Subject(s) - mathematics , fractional calculus , trigonometry , nonlinear system , mathematical analysis , hyperbolic function , ordinary differential equation , trigonometric functions , partial differential equation , differential equation , calculus (dental) , physics , medicine , geometry , dentistry , quantum mechanics

In this paper, the fractional complex transform and the ( G′ G ) expansion method are employed to solve the time-fractional modfied Korteweg– de Vries equation (fmKdV), Sharma-Tasso-Olver, Fitzhugh-Nagumo equations, where G satisfies a second order linear ordinary differential equation. Exact solutions are expressed in terms of hyperbolic, trigonometric and rational functions. These solutions may be useful and desirable to explain some nonlinear physical phenomena in genuinely nonlinear fractional calculus.

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