most citedFractional Leibniz integral rules for Riemann-Liouville and Caputo fractional derivatives and their applications

13 citations · 29 across the 6 of their papers we have counts for

collaborators

6 papers

math.AP20211 cited

Perturbation of fractional strongly continuous cosine family operators

Ismail T. Huseynov, Arzu Ahmadova, Nazim I. Mahmudov

Perturbation theory has long been a very useful tool in the hands of mathematicians and physicists. The purpose of this paper is to prove some perturbation results for infinitesima…

math.AP2021

Perturbation theory for fractional evolution equations in a Banach space

Arzu Ahmadova, Ismail T. Huseynov, Nazim I. Mahmudov

A strong inspiration for studying perturbation theory for fractional evolution equations comes from the fact that they have proven to be useful tools in modeling many physical proc…

math.AP20213 cited

A new technique for solving Sobolev type fractional multi-order evolution equations

Nazim I. Mahmudov, Arzu Ahmadova, Ismail T. Huseynov

A strong inspiration for studying Sobolev type fractional evolution equations comes from the fact that have been verified to be useful tools in the modeling of many physical proces…

math.CA202013 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.CA20209 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.DS20203 cited

Controllability of fractional stochastic delay dynamical systems

Arzu Ahmadova, Ismail T. Huseynov, Nazim I. Mahmudov

In this paper, we consider Caputo type fractional stochastic time-delay system with permutable matrices. We derive stochastic analogue of variation of constants formula via a newly…