An Anylatical approach for space–time fractal order nonlinear dynamics of microtubules. Issue 2 (2nd April 2020)

• Record Type: Journal Article
• Authors: Abdou, M. A.
• Is Part Of: Waves in random and complex media. Volume 30:Issue 2(2020)
• Page Start: 380
• Page End: 387
• Publication Date: 2020-04-02
• Subjects: Nonlinear dynamics of microtubules -- extended frcational sub-equation method -- fractional complex transformation -- exact solutions; Electromagnetic waves -- Periodicals; Electromagnetic waves -- Scattering -- Periodicals; 531.1133
• DOI: 10.1080/17455030.2018.1517951
• Languages: English
• ISSNs: 1745-5030

Abstract

ABSTRACT: Here, A new fractional sub-equation method is proposed for constructing the exact solutions of space–time fractional partial differential equations arising in nonlinear dynamics of microtubules in the sense of modified Riemann-Liouville derivative, which is the fractional version of the known D ξ α G ( ξ ) / G ( ξ ) method. The proposed approach is efficient and powerful for solving wide classes of nonlinear evoluation fractional order equations. It is observed that the performance of the proposed method is reliable and will be used to establish new general closed form solutions for any other NPDEs of fractional order. The solutions obtained here are new and have not been reported in former literature.