Our aim in this research is to investigate the motion of a beam on an internally bent
nanowire by using the fractional calculus theory. To this end, we first formulate the classical …

Memory is an important characteristic of an epidemic. One of such memory dependent and
highly contagious viral diseases is measles that is also responsible for more than 140,000 …

In this article, we study the time‐fractional nonlinear Klein–Gordon equation in Caputo–
Fabrizio's sense and Atangana–Baleanu–Caputo's sense. The modified double Laplace …

In this article, a class of generalized telegraph and Cattaneo time‐fractional models along
with Robin's initial‐boundary conditions is considered using the adaptive reproducing kernel …

SEIR epidemic model which represents the direct transmission of infectious disease are
considered to control the measles disease for infected population. The Caputo fractional …

The purpose of this paper is to investigate optimal control the non-linear fractional-order
chaotic system of cancer cells by use of particle swarm optimization and genetic algorithms …

In this study, a trustworthy swarming computing procedure is demonstrated for solving the
nonlinear dynamics of the Rabinovich–Fabrikant system. The nonlinear system's dynamic …

In this article, we introduce a novel numerical scheme, the iterative reproducing kernel
method (IRKM), for providing numerical approximate solutions of a certain class of time …

In this paper, a coupled system of fractional differential equations along with integral
boundary conditions is discussed by means of the iterative reproducing kernel algorithm …

This paper deals with constructing approximate solutions for Fokker-Planck equation of
fractional order subjected to appropriate initial conditions in the Caputo sense. This …