Condition-based maintenance has been proven effective in reducing unexpected failures with minimum operational costs. This study considers an optimal condition-based replacement policy with optimal inspection interval when the degradation conforms to an inverse Gaussian process with random...

The paper focuses on the option price subdiffusive model under the unusual behavior of the market, when the price may not be changed for some time which is quite a common situation in the modern financial markets or during global crises. In the model, the risk-free bond motion and classical GBM...

The paper focuses on the option price subdiffusive model under the unusual behavior of the market, when the price may not be changed for some time which is quite a common situation in the modern financial markets or during global crises. In the model, the risk-free bond motion and classical GBM...

This paper deals with the problem of discrete time option pricing by a mixed Brownian-fractional subdiffusive Black–Scholes model. Under the assumption that the price of the underlying stock follows a time-changed mixed Brownian-fractional Brownian motion, we derive a pricing formula for the...

This paper deals with the problem of discrete time option pricing by a fractional subdiffusive Black–Scholes model. The price of the underlying stock follows a time-changed geometric fractional Brownian motion. By a mean self-financing delta-hedging argument, the pricing formula for the...