Abstract Objective: New generalized Schrödinger equations with polynomial nonlinearities
are considered. The Cauchy problem for these equations cannot be solved by the inverse …

Application of transformations for dependent and independent variables is used for finding
solitary wave solutions of the generalized Schrödinger equations. This new form of equation …

In this study, the Jacobi elliptic function method (JEFM) and modified auxiliary equation
method (MAEM) are used to investigate the solitary wave solutions of the nonlinear coupled …

In this work, we consider the stochastic fractional‐space Kuramoto–Sivashinsky equation
using conformable derivative. The Riccati equation method is used to get the analytical …

Fractional diffusion equations with conformable derivative have become an important
research topic in Newtonian mechanics, quantum mechanics, arbitrary time scale problems …

In this paper, we propose and derive a new system called pure hybrid fuzzy neutral delay
differential equations. We apply the classical fourth-order Runge–Kutta method (RK-4) to …

The motivation of this research is to introduce some new fractional operators called “the
improved fractional (IF) operators”. The originality of these fractional operators comes from …

In this paper, white noise functional solutions of Wick‐type stochastic fractional mixed KdV‐
mKdV equations have been obtained by using the extended (G′/G)‐expansion method and …

In this study, the propagation of the ultra-short femtosecond pulses in an optical fiber is
modeled by the Kundu–Eckhaus equation with cubic, quintic nonlinearities, and the Raman …

Fractional calculus is nowadays an efficient tool in modelling many interesting nonlinear
phenomena. This study investigates, in a novel way, the Ulam–Hyers (HU) and Ulam–Hyers …