We investigate a couple of different financial/economic models based on market equilibrium
and option pricing with three different fractional derivatives in this paper. We obtain the …

In this paper, we investigate novel solutions of fractional‐order option pricing models and
their fundamental mathematical analyses. The main novelties of the paper are the analysis …

Distinct fractional models of falling object with linear and quadratic air resistive forces are
explored under Caputo fractional derivative. Analytical solutions to each model are extracted …

In this work, we investigate the transmission dynamics of pine wilt disease infection and
developed a new model utilizing Caputo fractional-order derivative. Moreover, with the use …

Integral transforms are a versatile mathematical technique that can be applied in a wide
range of science and engineering fields. We consider the general integral transform with the …

This study provides a detailed exposition of in-hospital community-acquired methicillin-
resistant S. aureus (CA-MRSA) which is a new strain of MRSA, and hospital-acquired …

The subjuct of this paper is the existence of solutions for a class of Caputo-Fabrizio fractional
differential equations with instantaneous impulses. Our results are based on Schauder's and …

In the current study, the temperature dynamics of a building are proposed by means of some
non-local singular fractional-order operators. In order to examine this model which has a …

The current work is of interest to introduce a detailed analysis of the novel fractional COVID-
19 model. Non-local fractional operators are one of the most efficient tools in order to …

The current study is of interest when performing a useful extension of a crucial physical
problem through a non-local singular fractional operator. We provide solutions that include …