This paper ensures meticulous mathematical study for analyzing the dynamics of smoking
model and its public health with Atangana–Baleanu derivative. The existence and …

This study proposes a Padé approximation based hybrid mesh free framework for numerical
solutions of nonlinear partial differential equations. The proposed framework involves three …

In this paper, time-fractional partial differential equations (FPDEs) involving singular and non-
singular kernel are considered. We have obtained the approximate analytical solution for …

Recently, fractional differential equations (FDEs) have attracted much more attention in
modeling real-life problems. Since most FDEs do not have exact solutions, numerical …

In this work, we have derived an approximate solution of the fractional Black-Scholes
models using an iterative method. The fractional differentiation operator used in this paper is …

This study addresses a novel identification of Adomian Decomposition Method (ADM) to
have an accurate and quick solution for the European option pricing problem by using Black …

In this study, a new application of multivariate Pade approximation method has been used
for solving European vanilla call option pricing problem. Pade polynomials have occurred …

Infectious diseases have caused the death of many people throughout the world for
centuries. For this purpose, many researchers have investigated these diseases for …

This paper presents the high order frequency-amplitude relationship for nonlinear
transversely vibrating beams with odd and even nonlinearities, using Homotopy …

It is possible to produce mobile phone worms, which are computer viruses with the ability to
command the running of cell phones by taking advantage of their flaws, to be transmitted …