ABSTRACT: We investigate a q-fractional integral equation with supremum and prove an existence theorem for it. We will prove that our q-integral equation has a solution in C [0, 1] which is monotonic ...

In this paper, we describe two approaches to the definition of fractional derivatives. We investigate the accuracy of the analysis method for solving the fractional order problem. We also give some ...

Lecture Notes-Monograph Series, Vol. 52, Time Series and Related Topics: In Memory of Ching-Zong Wei (2006), pp. 149-164 (16 pages) This paper develops a European option pricing formula for fractional ...

Abstract: In this work-in-progress paper, the topic of fractional-order modeling and control in education is discussed. The study of fractional calculus, fractional-order systems (FOS) and the ...

Abstract: Fractional calculus has been adopted in the modelling of many scientific processes and systems. Due to the inherent feature of long term memory of fractional derivatives, it has been used in ...