The main goal of this paper is to discover some new analytical solutions of a fractional form
of the Bogoyavlensky–Konopelchenko equation via two new analytical schemes. This model …

We introduce a definition of a generalized conformable derivative of order $\alpha\gt
0$(where this parameter does not need to be integer), with which we overcome some …

Recently, the conformable derivative and its properties have been introduced. In this paper,
we propose and prove some new results on conformable Boundary Value Problems. First …

In this paper, we use the generalized fractional derivative in order to study the fractional
differential equation associated with a fractional Gaussian model. Moreover, we propose …

Abstract In this article,(2+ 1)-dimensional Ito equation that models waves motion on shallow
water surfaces is analyzed for exact analytic solutions. Two reliable techniques involving the …

On the oscillation of differential equations in frame of generalized proportional fractional
derivatives Page 1 http://www.aimspress.com/journal/Math AIMS Mathematics, 5(2): 856–871 …

In this paper, we introduce two reliable efficient approximate methods for solving a class of
fractional Lane–Emden equations with conformable fractional derivative (CL-M) which are …

In this paper we introduce a generalized Laplace transform in order to work with a very
general fractional derivative, and we obtain the properties of this new transform. We also …

In this work, the solutions of the real coupled Kadomtsev–Petviashvili equations (KPEs) are
obtained and they are used to find the ones of the complex system. To this end, the …

In this paper, we present two qualitative results concerning the solutions of nonlinear
generalized differential equations, with a local derivative defined by the authors in previous …