A novel technique, named auxiliary equation method, is applied in this research work for
obtaining new traveling wave solutions for two interesting proposed systems: the Kaup …

In this research, an unrivalled hybrid scheme which involves the coupling of the new Elzaki
integral transform (an improved version of Laplace transform) and a modified differential …

In this study, the famous fractional generalized coupled cubic nonlinear Schrödinger–KdV
equations arising in many domains of physics and engineering such as depicting the …

The time-fractional version of the generalized Pochhammer–Chree equation is analyzed. In
this paper, the equation is converted into an ordinary differential equation by applying …

This paper introduces advances in solving space‐time conformable nonlinear partial
differential equations (PDEs) and exact wave solutions for Oskolkov equations. To arrive at …

The shallow water equation based on the generalized equal width (GEW) equation is a PDE
that can be classified in the category of hyperbolic PDEs. The current paper concerns …

The researchers have developed numerous analytical and numerical techniques for solving
fractional partial differential equations most of which provide approximate solutions. Exact …

Many challenges are still faced in bridging the gap between mathematical modeling and
biological sciences. Measuring population immunity to assess the epidemiology of health …

In this study, we improved the spectral deferred correction method for nonlinear fractional
differential equations. First, problems were transformed into equivalent nonlinear Volterra …

Many nonlinear phenomena are modeled in terms of differential and integral equations.
However, modeling nonlinear phenomena with fractional derivatives provides a better …