Invariant subspace method for time-fractional nonlinear evolution equations of the third order

Multiple Normalized Solutions to a Choquard Equation Involving Fractional p-Laplacian in ℝN

“…Here, we give some examples. In physics, Maheswari and Bakshi [36] mentioned a general time-fractional differential equation defined by…”

Similarity Reductions, Power Series Solutions, and Conservation Laws of the Time-Fractional Mikhailov–Novikov–Wang System

“…By solving the fractional ordinary differential system (23), we obtain a set of solutions for the time-fractional MNW system as…”

“…Therefore, finding effective methods to study the FPDE is of great significance [16]. To date, numerical and analytical methods exist for solving the FPDE, including the finite difference method [17,18], the homotopy analysis method [19], the sub-equation method [20,21], the invariant subspace method [22][23][24], the Lie symmetry analysis method [25][26][27][28][29], and so on. Lie symmetry analysis, in particular, offers a powerful technique for solving partial differential equations and can yield vital symmetry properties such as invariant solutions and conservation laws [30].…”