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In this work we used three integration methods, firstly, the method of\n                    <jats:italic>exp<\/jats:italic>\n                    (-\n                    <jats:italic>\u03a9<\/jats:italic>\n                    )-expansion equation function, secondly the Kudryashov equation method in the general case and the method of extended Bernoulli sub-equation function, with the help of the fractional complex transformation and conformable derivatives which including the solution of complex function, rational function, hyperbolic function and exponential function. Finally, our results give good solution and understanding of the properties of the non-linear waves in fractional medium.\n                  <\/jats:p>","DOI":"10.3233\/jifs-179571","type":"journal-article","created":{"date-parts":[[2019,12,31]],"date-time":"2019-12-31T07:39:06Z","timestamp":1577777946000},"page":"2859-2866","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":7,"title":["New optical soliton solutions of space-time fractional nonlinear dynamics of microtubules via three integration schemes"],"prefix":"10.1177","volume":"38","author":[{"given":"Saud","family":"Owyed","sequence":"first","affiliation":[{"name":"Department of Mathematics, College of Sciences, University of Bisha, Bisha, Saudi Arabia"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"M.A.","family":"Abdou","sequence":"additional","affiliation":[{"name":"Department of Physics, College of Sciences, University of Bisha, Bisha, 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