70 citations · 165 across the 60 of their papers we have counts for
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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…
Asymptotic stability analysis of Riemann-Liouville fractional stochastic neutral differential equations
Arzu Ahmadova, Nazim Mahmudov
The novelty of our paper is to establish results on asymptotic stability of mild solutions in th moment to Riemann-Liouville fractional stochastic neutral differential equations…
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…
Some Results on Backward Stochastic Differential Equations of Fractional Order
Nazim I. Mahmudov, Arzu Ahmadova
In this article, we deal with fractional stochastic differential equations, so-called Caputo type fractional backward stochastic differential equations (Caputo fBSDEs, for short),…
Picard approximation of a singular backward stochastic nonlinear Volterra integral equation
Arzu Ahmadova, Nazim I. Mahmudov
Backward stochastic differential equations (BSDEs) belong nowadays to the most frequently studied equations in stochastic analysis and computational stochastics. In this paper we p…
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…
Asymptotic behavior of solutions to fractional stochastic multi-term differential equation systems involving non-permutable matrices
Arzu Ahmadova, Nazim I. Mahmudov
In this paper, we study the exact asymptotic separation rate of two distinct solutions of Caputo stochastic multi-term differential equations (Caputo SMTDEs for short). Our goal in…
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…