Hosseini, Kamyar; Ayati, Zainab; Ansari, Reza Application of the invariant subspace method in conjunction with the fractional Sumudu’s transform to a nonlinear conformable time-fractional dispersive equation of the fifth order. (English) Zbl 1449.35438 Comput. Methods Differ. Equ. 7, No. 3, 359-369 (2019). Summary: During the past years, a wide range of distinct approaches has been developed to solve nonlinear fractional differential equations (NLFDEs). In this paper, the invariant subspace method (ISM) in conjunction with the fractional Sumudu’s transform (FST) in the conformable context is formally adopted to deal with a nonlinear conformable time-fractional dispersive equation of the fifth order. As an outcome, a new exact solution of the model is determined. Cited in 1 Document MSC: 35R11 Fractional partial differential equations 65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems Keywords:fifth order time-fractional dispersive equation; conformable context; invariant subspace method; fractional Sumudu’s transform; exact solution PDFBibTeX XMLCite \textit{K. Hosseini} et al., Comput. Methods Differ. Equ. 7, No. 3, 359--369 (2019; Zbl 1449.35438) Full Text: Link