The identification of the Lagrange multiplier plays an import rule in the variational iteration
method, and the variational theory is widely used for this purpose. This paper suggests an …

Purpose A three-dimensional (3D) unsteady potential flow might admit a variational
principle. The purpose of this paper is to adopt a semi-inverse method to search for the …

Thin film arises in various applications from electrochemistry to nano devices, many
mathematical tools were adopted to study the problem, eg Lie symmetries and conservation …

Purpose It is extremely difficult to establish a variational principle for plasma. Kalaawy
obtained a variational principle by using the semi-inverse method in 2016, and Li and He …

The key aim of the present study is to compute the solution of local fractional Fokker Planck
equation (LFFPE) on the Cantor set. We perform a comparison between the reduced …

Microchannels are effective heat sinks for microelectronic systems. However, it remains
unclear what form of channels will be most effective in improving the overall performance of …

Recently, researchers have been interested in studying fractional differential equations and
their solutions due to the wide range of their applications in many scientific fields. In this …

In this paper, we apply the Daftardar-Jafari method (DJM) and Sumudu decomposition
method (SDM) to obtain the approximate analytical solutions of the fractional system of …

There is significant literature on Schrödinger differential equation (SDE) solutions, where the
fractional derivatives are stated in terms of Caputo derivative (CD). There is hardly any work …

The key aim of the present study is to attain nondifferentiable solutions of extended wave
equation by making use of a local fractional derivative describing fractal strings by applying …