Scholars and analysts have been increasingly focusing on the concept of modeling
contagious illnesses by aid of non-integer order derivatives. It is beyond suspicion that one …

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 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 paper, we have aimed the numerical inverse Laplace homotopy technique for solving
some interesting 1-D time-fractional heat equations. This method is based on the Laplace …

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 …

This study presents two new numerical techniques for solving time-fractional one-
dimensional cable differential equation (FCE) modeling neuronal dynamics. We have …

With the recent trend in the spread of coronavirus disease 2019 (Covid-19), there is a need
for an accurate approximate analytical solution from which several intrinsic features of …

In this study, a fractional mathematical model with steepest descent direction is proposed to
find optimal solutions for a class of nonlinear programming problem. In this sense, Caputo …

In this paper, the conformable fractional‐order SIR epidemic model are solved by means of
an analytic technique for nonlinear problems, namely, the conformable fractional differential …