Overall objectives of this paper are to investigate and analyze certain problems in
economics by means of non-local fractional operators involving Caputo, Caputo–Fabrizio in …

Mathematical modeling of infectious diseases has shown that combinations of isolation,
quarantine, vaccine, and treatment are often necessary in order to eliminate most infectious …

In the present paper, we investigate a fractional model in Caputo sense to explore the
dynamics of the Zika virus. The basic results of the fractional Zika model are presented. The …

In the current study, we investigate and analyze the fractional version of the heating and
cooling model for buildings with energy efficiency. We apply the Caputo fractional derivative …

This work deals with the pseudospectral method to solve the Sturm-Liouville eigenvalue
problems with Caputo fractional derivative using Chebyshev cardinal functions. The method …

Integro-differential operators with non-singular kernels have been much discussed among
fractional calculus researchers. We present a mathematical study to clearly establish the …

The main objective of this paper is to introduce k-fractional derivative operator by using the
definition of k-beta function. We establish some results related to the newly defined fractional …

In this manuscript the fractional form of wind-influenced projectile motion equations which
have a significant place in physics is extensively investigated by preserving dimensionality …

In this article, we propose some substantial spectral data for Sturm–Liouville problem with
separated boundary conditions in frame of newly defined truncated M-derivative which …

This article is devoted to investigate the fractional falling body problem relied on Newton's
second law. We analyze this physical model by means of Atangana-Baleanu fractional …