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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

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.

MSC:

35R11 Fractional partial differential equations
65M99 Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems
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