In this article, our focus is to extract the diverse exact solutions to the conformable time-
fractional modified nonlinear Schrödinger equation (CTFMNLSE) that describes the …

In this paper, our focus is on the multidimensional mathematical physics models. We employ
the sub-equation method to obtain new exact solutions to the proposed strongly nonlinear …

In this paper, we study on the conformable (2+ 1)-dimensional Ablowitz-KaupNewell-Segur
equation in order to show the existence of complex combined dark-bright soliton solutions …

This paper derives a new fractional (3+ 1)-dimensional modified Zakharov–Kuznetsov
equation based on the conformable fractional derivative for the first time. Some new types of …

In this study, the nonlinear perturbed Schrödinger equation (NPSE) with nonlinear terms as
quadratic-cubic law nonlinearity media with the beta derivative is investigated and this …

In this paper, the new exact solutions for some nonlinear partial differential equations are
obtained within the newly established conformable derivative. We use the first integral …

The improved modified extended tanh-function (imETF) method is used to develop exact
traveling wave solutions of a family of 3D fractional Wazwaz-Benjamin-Bona-Mahony …

Abstract In 2015, Abdeljawad [1] has put an open problem, which is stated as:“Is it hard to
fractionalize the conformable fractional calculus, either by iterating the conformable …

This study examines the exact soliton solutions under the effect of cubic-quintic-septic
nonlinearities for a sixth-order (3+ 1)-dimensional nonlinear time-fractional Schrödinger …

In this article, we study different types of fractional-order logistic models in the frame of
Caputo type fractional operators generated by conformable derivatives (Caputo CFDs). We …