82 citations · 83 across the 3 of their papers we have counts for
3 papers
math.CA2019★ 82 cited
On some analytic properties of tempered fractional calculus
Arran Fernandez, Ceren Ustaoglu
We consider the integral and derivative operators of tempered fractional calculus, and examine their analytic properties. We discover connections with the classical Riemann-Liouvil…
math.CA2019★ 1 cited
Analytical Development of Incomplete Riemann-Liouville Fractional Calculus
Arran Fernandez, Ceren Ustaoğlu, Mehmet Ali Özarslan
The theory of fractional calculus has developed in a number of directions over the years, including: the formulation of multiple different definitions of fractional differintegrati…
math.CA2019
Incomplete Riemann-Liouville fractional derivative operators and incomplete hypergeometric functions
Mehmet Ali Özarslan, Ceren Ustaoğlu
In this paper, the incomplete Pochhammer ratios are defined in terms of the incomplete beta function . With the help of these incomplete Pochhammer ratios, we introduce…