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20102025
most citedFractional Leibniz integral rules for Riemann-Liouville and Caputo fractional derivatives and their applications

13 citations · 35 across the 16 of their papers we have counts for

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6 papers · 1 filter

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…

math.DS20201 cited

Hadamard type fractional time-delay semilinear differential equations: Delayed Mittag-Leffler function approach

Nazim I. Mahmudov

We propose a delayed Mittag-Leffler type matrix function with logarithm, which is an extension of the classical Mittag-Leffler type matrix function with logarithm and delayed Mitta…

math.DS2019

Delayed Langevin type equations with two fractional derivatives

N. I. Mahmudov

In this paper, we introduce a delayed Mittag-Leffler type function. With the help of the delayed Mittag-Leffler type functions, we give an explicit formula of solutions to linear n…

math.DS2018

Delayed perturbation of Mittag-Leffler functions and their applications to fractional linear delay differential equations

N. I. Mahmudov

In this paper, we propose a delayed perturbation of Mittag-Leffler type matrix function, which is an extension of the classical Mittag-Leffler type matrix function and delayed Mitt…

math.DS2018

Representation of solutions of discrete linear delay systems with non permutable matrices

N. I. Mahmudov

We introduce a discrete delayed exponential depending on sequence of matrices. This discrete matrix gives a representation of a solution to the Cauchy problem for a discrete linear…

math.DS2016

On Approximate Controllability of Impulsive Linear Evolution Equations

N. I. Mahmudov

In this paper, we study an approximate controllability for the impulsive linear evolution equations in Hilbert spaces. The necessary and sufficient conditions for approximate contr…