Any physical laws are scale-dependent, the same phenomenon might lead to debating
theories if observed using different scales. The two-scale thermodynamics observes the …

The role of integer and noninteger order partial differential equations (PDE) is essential in
applied sciences and engineering. Exact solutions of these equations are sometimes difficult …

In this paper, a hybrid method called variational iteration transform method has been
implemented to solve fractional-order Navier–Stokes equation. Caputo operator describes …

The nano/microelectromechanical systems (N/MEMS) have caught much attention in the
past few decades for their attractive properties such as small size (low mass), high reliability …

Fractional Brusselator reaction‐diffusion system (BRDS) is used for modeling of specific
chemical reaction‐diffusion processes. It may be noted that numerous models in nonlinear …

The aim of this research work is to modify the power series solution method to fractional
order in the sense of conformable derivative to solve a coupled system of nonlinear …

This article will give the residual power series method (RPSM) for solving pseudo hyperbolic
partial differential equations with nonlocal conditions, RPSM is essentially based on general …

In this research work, we propose an unprecedented hybrid algorithm which involves the
coupling of a new integral transform, namely, the Elzaki transform and the well‐known …

In this paper, two-hybrid techniques, namely q-homotopy analysis Elzaki transform method
(q-HAETM) and iterative Elzaki transform method (IETM) have been applied to obtain the …

The Ivancevic option pricing model is an alternative of the standard Black–Scholes pricing
equation, which signifies a controlled Brownian motion related to the nonlinear Schrodinger …