Dynamical characteristic of analytical fractional solitons for the space-time fractional Fokas-Lenells equation

The Exact Solutions of the Conformable Time-Fractional Modified Nonlinear Schrödinger Equation by the Trial Equation Method and Modified Trial Equation Method

“…Here, using the TEM and MTEM, we investigate the exact solutions for the above CTFMNLSE. For more details, you can see [6][7][8][9][10][11].…”

Propagation and interaction between special fractional soliton and soliton molecules in the inhomogeneous fiber

“…In recent years, FNMs have been widely used in the research of nonlinear science [24] , [25] , [26] . At the same time, FNMs with distributed coefficients have certain representative significance.…”

“…Many researchers have already succeeded in the study of fractional models [27] , [29] . Effective methods for solving fractional nonlinear Schrödinger (FNLS) equation have been achieved [30] , such as the fractional F-expansion method [28] , fractional Riccati method [26] and fractional bi-function method [31] . At the same time, some numerical methods have also been successfully used to solve the fractional nonlinear Schrodinger equation [32] , and numerical solutions were derived by using Riesz-Feller Derivative and non-standard discretization [33] , [34] .…”

On a Neutral Itô and Arbitrary (Fractional) Orders Stochastic Differential Equation with Nonlocal Condition

“…The results are important since they cover nonlocal generalizations of differential SDEs, and more applications are arising in fields such as heat conduction, electromagnetic theory and dynamical systems and in materials with memory (see, e.g., [9][10][11][12][13][14][15][16][17]), optimal fractional problems and numerical models (see, e.g., [18][19][20][21]).…”