Baleanu, DumitruJaveed, ShumailaSaif, SummayaWaheed, AsifBaleanu, Dumitru2019-12-202019-12-202018Javeed, Shumaila...et al. (2018). Exact solutions of fractional mBBM equation and coupled system of fractional Boussinesq-Burgers, Results in Physics, 9, 1275-1281.2211-3797https://hdl.handle.net/20.500.12416/2209The new exact solutions of nonlinear fractional partial differential equations (FPDEs) are established by adopting first integral method (FIM). The Riemann-Liouville (R-L) derivative and the local conformable derivative definitions are used to deal with the fractional order derivatives. The proposed method is applied to get exact solutions for space-time fractional modified Benjamin-Bona-Mahony (mBBM) equation and coupled time-fractional Boussinesq-Burgers equation. 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/openAccessFractional Partial Differential EquationsR-L DerivativeArticle91275128110.1016/j.rinp.2018.04.026