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math.CA2020★ 13 cited
Fractional Leibniz integral rules for Riemann-Liouville and Caputo fractional derivatives and their applications
Ismail T. Huseynov, Arzu Ahmadova, Nazim I. Mahmudov
In recent years, the theory for Leibniz integral rule in the fractional sense has not been able to get substantial development. As an urgent problem to be solved, we study a Leibni…
math.CA2020★ 9 cited
A natural extension of Mittag-Leffler function associated with a triple infinite series
Ismail T. Huseynov, Arzu Ahmadovay, Gbenga O. Ojo +1
We establish a new natural extension of Mittag-Leffler function with three variables which is so called "trivariate Mittag-Leffler function". The trivariate Mittag-Leffler function…
math.CA2015
Approximation properties of the -Balázs-Szabados operators in the case
N. I. Mahmudov
This paper deals with approximation properties of the newly defined -generalization of the Balázs-Szabados operators in the case . Quantitative estimates of the converge…