13 citations · 29 across the 9 of their papers we have counts for
9 papers
Explicit representation of solutions to a linear wave equation with time delay
Javad A. Asadzade, Jasarat J. Gasimov, Nazim I. Mahmudov +1
This paper develops an explicit spectral representation for solutions of a one-dimensional linear wave equation with a constant time delay. The model is considered on a bounded int…
Partially Exact Controllability of Semilinear Heat Exchanger Systems
Ismail Huseynov, Arzu Ahmadova, Agamirza E. Bashirov
In this paper, we study two semilinear systems describing a monotubular and a two-stream heat exchanger. Neither system is exactly controllable; however, for each we specify a subs…
Perturbation theory and linear partial differential equations with delay
Ismail T. Huseynov, Nazim I. Mahmudov
Functional evolution equations are used in the modeling of numerous physical processes. In this work, our main tool is perturbation theory of strongly continuous semigroups. The ad…
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…
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…
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…
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…
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…
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…