Baleanu, DumitruJaveed, ShumailaSaif, SummayaBaleanu, Dumitru2019-12-192019-12-192018Javeed, Shumaila; Saif, Summaya; Baleanu, Dumitru (2018). New exact solutions of fractional Cahn-Allen equation and fractional DSW system, Advances in Difference Equations.1687-1847https://hdl.handle.net/20.500.12416/2201This work explores the new exact solutions of nonlinear fractional partial differential equations (FPDEs). The solutions are obtained by adopting an effective technique, the first integral method (FIM). The Riemann-Liouville (R-L) derivative and conformable derivative definitions are used to deal with fractional terms in FPDEs. The proposed method is applied to get exact solutions for space-time fractional Cahn-Allen equation and coupled space-time fractional (Drinfeld's Sokolov-Wilson system) DSW system. The suggested technique is easily applicable and effectual, which can be implemented successfully to obtain the solutions for different types of nonlinear FPDEs.eninfo:eu-repo/semantics/openAccessPartial-Differential-EquationsWave SolutionsExplicitArticle10.1186/s13662-018-1913-3