A fractional sub-equation method is proposed to solve fractional differential equations. To
illustrate the effectiveness of the method, the nonlinear time fractional biological population …

In this paper, the fractional derivatives in the sense of modified Riemann–Liouville derivative
and the first integral method are employed for constructing the exact solutions of nonlinear …

In this paper, we use the fractional complex transform and the (G'/G)-expansion method to
study the nonlinear fractional differential equations and find the exact solutions. The …

In this paper, we present a new definition of fractional-order derivative with a smooth kernel
based on the Caputo–Fabrizio fractional-order operator which takes into account some …

This article gives insight on a biological population model (BPM) of arbitrary order with
carrying capacity. The solution of the studied model obtained via employing q-homotopy …

The ongoing study deals with various forms of solutions for the biological population model
with a novel beta-time derivative operators. This model is very conducive to explain the …

The book presents qualitative results for different classes of fractional equations, including
fractional functional differential equations, fractional impulsive differential equations, and …

The major purpose of this study is to seek diverse soliton solutions to the nonlinear
discretized mKdv lattice system including fractional-order in the sense of conformable …

This manuscript deals a numerical technique based on Haar wavelet collocation which is
developed for the approximate solution of some systems of linear and nonlinear fractional …

In this paper, we implemented the functional variable method and the modified Riemann–
Liouville derivative for the exact solitary wave solutions and periodic wave solutions of the …