In this research, we introduce the basic properties of the single and double general
transforms. New interesting results related to fractional operators in the sense of Caputo …

In this paper, we introduce the definition of double Laplace transform in q-calculus by using
the functions of several variables. Certain results on convergence, absolute convergence …

Many options traded in the over-the-counter markets are subject to default risks resulting
from the probability that the option writer could not honor its contractual obligations. There …

In the over-the-counter (OTC) markets, the holders of many contracts are vulnerable to
counterparty credit risk. Because of this issue, vulnerable options must be considered. In …

An option on a defaultable instrument is prone to default risk arising from the probability that
the instrument's issuer will not honor its contractual obligations. Under this financial …

In this study, considering the paradoxical stochastic characteristics of over-the-counter
markets during a financial crisis, we examine the price of vulnerable options under the …

As defaultable options are subject to default risks in over-the-counter (OTC) markets,
vulnerable options are one of the financial securities closely linked with the risk caused by …

The counterparty credit risk should be considered when valuing options traded in the over-
the-counter (OTC) markets because the OTC markets have rapidly grown, and the credit risk …

The aim of this paper is to derive the uncertainty principle which has implications in signal
analysis and in quantum mechanics. First, we derive the definition of the wavelet transform …

In this article, we introduce the two dimensional Mellin transform M q˜(f)(s, t), give some
properties, establish the Paley-Wiener theorem and Plancherel formula, present the …