In the current article, we establish the existence and uniqueness of solutions to the initial
value problem for nonlinear implicit fractional differential equations with non-instantaneous …

Chemotherapy is a widely used cancer treatment method globally. However, cancer cells
can develop resistance towards single-drug-based chemotherapy if it is infused for extended …

This paper discusses the natural homotopy permutation method (NHPM) for solving
fractional differential equations (FDEs) with the Atangana-Baleanu-Caputo operator (ABCO) …

This article offers an analytical solution for the fractional Riccati differential equation in three
distinct cases. These cases are determined by the discriminant and the analytical solution …

This paper introduces a convolution model with non-singular rational kernels in which
coefficients are considered complex. An interlacing property of the poles and zeros in these …

In this article, two linearized difference schemes are considered to solve a class of time-
space fractional nonlinear diffusion-wave equations with weak singularity near the initial …

In the present study, a novel semi-analytic scheme is proposed to obtain exact and
approximate series solutions for the time fractional linear and non-linear Schrödinger …

The fractional Elzaki homotopy perturbation technique (FEHPM) is an excellent analytical
tool employed in this study to solve the fractional Burger's and the Bratu's equations. The …

In this paper, linear differential equations involving fractional and integer order derivatives
are considered. Here fractional derivatives are defined in the Caputo–Fabrizio sense. A …

Smoking is a prevalent social behavior widely practiced worldwide, especially in settings
such as schools and some significant gatherings. Based on the World Health Organization …