Recently, operational matrices were adapted for solving several kinds of fractional
differential equations (FDEs). The use of numerical techniques in conjunction with …

Fractional calculus is a powerful and effective tool for modelling nonlinear systems. In this
paper, we introduce a class of new fractional derivative named general conformable …

In this study, we solve fractional order PDEs with free parameters that regulate wave motion
in a low-pass electrical transmission line equation (LPET) using the unified technique. To …

In this paper, a novel analytical method for solving nonlinear partial differential equations is
studied. This method is known as triple Laplace transform decomposition method. This …

In this article, a nonlinear fractional Cable equation is solved by a two-grid algorithm
combined with finite element (FE) method. A temporal second-order fully discrete two-grid …

The study of ion‐acoustic solitary waves in a magnetized plasma has long been considered
to be an important research subject and plays an increasingly important role in scientific …

The fractional-order Boussinesq equations (FBSQe) are investigated in this work to see if
they can effectively improve the situation where the shallow water equation cannot directly …

The main idea of this article is the investigation of atmospheric internal waves, often known
as gravity waves. This arises within the ocean rather than at the interface. A shallow fluid …

In this investigation, we propose a semi‐analytical technique to solve the fractional order
Boussinesq equation (BsEq) that pertains the groundwater level in a gradient unconfined …

In this study, we focus on extracting soliton solutions to the differential equation of fractional
order governing wave propagation in low-pass electrical transmission lines by the (G'/G 2) …