An Anylatical approach for space-time fractal order nonlinear dynamics of microtubules

• Published in: Waves in random and complex media Vol. 30; no. 2; pp. 380 - 387
• Main Author: Abdou, M. A.
• Format: Journal Article
• Language: English
• Published: Abingdon Taylor & Francis 02-04-2020; Taylor & Francis Ltd
• Subjects: Exact solutions; extended frcational sub-equation method; fractional complex transformation; Mathematical analysis; Nonlinear dynamics; Nonlinear dynamics of microtubules; Nonlinear equations; Partial differential equations
• ISSN: 1745-5030; 1745-5049
• DOI: 10.1080/17455030.2018.1517951

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
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.