In this article, we analytically furnish the solution of (2 + 1)-dimensional fractional differential equations, with distinct fractal-memory indices in all coordinates, as a trivariate (alpha, beta, gamma)-fractional power ...

In this article, we analytically furnish the solution of (2 + 1)-dimensional fractional differential equations, with distinct fractal-memory indices in all coordinates, as a trivariate (alpha, beta, gamma)-fractional power ...

In this work, we provide upper and lower bounds for the numerical radius of an nxn off-diagonal operator matrix, which extends some results by Abu-Omar and Kittaneh (Stud. Math. 216:69-75, 2013; Linear Algebra Appl. ...

In this paper, we investigate the dynamics of a nonlinear model responsible for the transition of turbulence phenomena and cellular instabilities to a chaos. The two-mode Kuramoto-Sivashinsky (TMKS) model is an example of ...

Dual-mode (2 + 1)-dimensional Kadomtsev-Petviashvili (DMKP) equation is a new model which represents the spread of two simultaneously directional waves due to the involved term " utt (x, y, t)" in its equation. We present ...

The effect of inherited memory-time and delay-time in the formulation of a mathematical population growth model is considered. Two different numerical schemes are introduced to study analytically the propagation of population ...

The current work concerns the development of an analytical scheme to handle (2 + 1) -dimensional partial differential equations endowed with decoupled spatial and temporal fractional derivatives (abbreviated by (alpha,beta) ...

In this paper we communicated with three different ansatze methods including the tanh-expansion method, the rational sine-cosine method and the Kudryashov-expansion method to study solitary wave solutions for a new developed ...

In this work, we present a new two-waves' version of the fifth-order Korteweg-de Vries model. This model describes the propagation of moving two-waves under the influence of dispersion, nonlinearity, and phase velocity ...

In this work, we are concerned with presenting a novel study on the generalized reaction Duffing model involving two actions on the time coordinate: fractional time derivative and multiple pantograph time delays. The ...