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 …

The objective of this paper is to revisit one economic model in the context of the fractional
calculus. The considered considered is the economic growth model in the context of the …

In this paper, we briefly review the finite difference method (FDM) for the Black–Scholes (BS)
equations for pricing derivative securities and provide the MATLAB codes in the Appendix …

After a long transition period, the Central and Eastern European (CEE) capital markets have
consolidated their place in the financial systems. However, little is known about the price …

In this paper, we use a numerical method for solving the nonlinear Black–Scholes partial
differential equation of the European option under transaction costs, which is based on the …

In this manuscript, we investigate the approximate solutions to the tangent nonlinear
packaging equation in the context of fractional calculus. It is an important equation because …

Abstract Black-Scholes (BS) equations, which are in the form of stochastic partial differential
equations, are fundamental equations in mathematical finance, especially in option pricing …

In the history of option pricing, one of the most significant models is the Black-Scholes
model. In this paper, the classical Black-Scholes model for European and American options …

The fractional-order differential operator describes history dependence and global
correlation. In this paper, we use this trait to describe the viscoelastic characteristics of the …

In this article, we propose a super-fast computational algorithm for three-asset equity-linked
securities (ELS) using the finite difference method (FDM). ELS is a very popular investment …