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UO > About > Organizational Structure > Faculties & Institutes > Faculty of Science > About > Organizational Structure > Departments & Centres > Department of Mathematics

Zhivorad Tomovski

Zhivorad Tomovski

Academic degree, name, surname:Zhivorad Tomovski, Dr.
Room, floor, building: L 303, Building L
Position:
Research interests and teaching:
Department (Faculty): Department of Mathematics (Faculty of Science)
Phone number, mobile: +420 553 46 2142
E-mail:

Education

1997 – 2000
PhD, Ss. Cyril and Methodius University, Skopje, Macedonia
1992 – 1997
MSc., Ss. Cyril and Methodius University, Skopje, Macedonia
 

Qualifications, specialization

2000
PhD
 

Working Practice

Since 2020
University of Ostrava
Since 2017
Department of Mathematics, University of Zagreb, Croatia
1993 – 2020
"Ss. Cyril and Methodius University", Skopje, Makedonie
 

Lecturing in

Mathematical Analysis
Complex variables
Differential Equations
Partial differential equations
Integral equations
Probability
 

Academical membership

2007 – 2011
Head of the Department of Analysis, Institute of Mathematics. Faculty of Mathematics and Natural Sciences, Skopje, Macedonia
 

Membership

Member of Research group in Mathematical Inequalities & Applications in Melbourne, Australia
 

Activities abroad

2015 – 2020
Department of Appl. Mathematics, TU Delft, The Netherlands, (12 months)
2014 – 2016
Department of Mathematics, University of Rijeka, Croatia
2013
Weierstrass Institute for Applied Analysis and Stochastics, Berlin, Germany, (3 months)
2013
Department of Appl. Mathematics, TU Delft, The Netherlands, (12 months)
2011
Department of Appl. Mathematics, TU Delft, The Netherlands, (12 months)
2011
Department of Physics, TU Munich, Germany, (3 months)
2007 – 2009
Institute for Computational Physics, University of Stuttgart, Germany, (3 months and 10 days)
2005 – 2006
(2005-2006) Faculty of Electrical Engineering and Computing, University of Zagreb, Croatia, (2 months)
2002
Institute of Mathematics, Jagiellonian University, Cracow, Poland, (1 month)
2002
Steklov Mathematical Institute of Russian Academy Science, Moscow, Russia, (1 month and 2 weeks)
2000
Steklov Mathematical Institute of Russian Academy Science, Moscow, Russia, (1 month and 2 weeks)
1999
Department of Math. Analysis, University of People's Friendship, Moscow, Russia, (5 months)
 

Language Skills

English
Advanced
Croatian
Advanced
Russian
Advanced
 


Analytical inequalities in fractional calculus
Sajid Iqbal, Josip Pečarić, Zhivorad TOMOVSKI
Year: 2020, LAMBERT Academic Publishing
specialist book

Applications of Hilfer-Prabhakar operator to option pricing financial models
Zhivorad TOMOVSKI, Jan Korbel, Johan Dubbeldam
Year: 2020, Fractional Calculus and Applied Analysis
journal article

Asymptotics of some generalized Mathieu series
Zhivorad TOMOVSKI, Stefan Gerhold, Friedrich Hubalek
Year: 2020, MATHEMATICA SCANDINAVICA
journal article

Asymptotic expansion of Mathieu power series and trigonometric Mathieu series
Stefan Gerhold, Zhivorad TOMOVSKI
Year: 2019, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
journal article

Distributed order wave equations with composite time fractional derivative
Zhivorad TOMOVSKI, Trifce Sandev
Year: 2018, INT J COMPUT MATH
journal article

Laplace type integral expressions for a certain three-parameter family of generalized Mittag-Leffler functions with applications involving complete monotonicity
Zhivorad TOMOVSKI, Tibor K. Pogany, M.H. Srivastava
Year: 2014, J FRANKLIN I
journal article

Fractional Wave Equation with a Frictional Memory Kernel of Mittag-Leffler type
Zhivorad TOMOVSKI, Trifce Sandev
Year: 2012, APPL MATH COMPUT
journal article

Fractional characteristic functions, and a fractional calculus approach for moments of random variables
Zhivorad Tomovski, Ralf Metzler, Stefan Gerhold
Year: 2022, Fractional Calculus and Applied Analysis
journal article

Fractional characteristic functions and fractional moments
Zhivorad Tomovski
Year: 2022
presentations (congresses, symposia, conferences, workshops)

Exact results on some nonlinear laguerre-type diffusion equations
Roberto Garra, Zhivorad Tomovski
Year: 2021, MATHEMATICAL MODELLING AND ANALYSIS
journal article

Generalized Mathieu Series
Zhivorad Tomovski, Delčo Leškovski, Stefan Gerhold
Year: 2021, Springer, Cham
specialist book

Some Families of Apéry-Like Fibonacci and Lucas Series
Robert Frontczak, Hari Mohan Srivastava, Zhivorad Tomovski
Year: 2021, MATHEMATICS
journal article

Analytical inequalities in fractional calculus
Sajid Iqbal, Josip Pečarić, Zhivorad TOMOVSKI
Year: 2020, LAMBERT Academic Publishing
specialist book

Applications of Hilfer-Prabhakar operator to option pricing financial models
Zhivorad TOMOVSKI, Jan Korbel, Johan Dubbeldam
Year: 2020, Fractional Calculus and Applied Analysis
journal article

Asymptotics of some generalized Mathieu series
Zhivorad TOMOVSKI, Stefan Gerhold, Friedrich Hubalek
Year: 2020, MATHEMATICA SCANDINAVICA
journal article

Generalized Euler-Genocchi Polynomials and Lucas Numbers
Zhivorad TOMOVSKI, Robert Frontczak
Year: 2020, INTEGERS
journal article

Hilfer-Prabhakar derivatives and applications
Zhivorad Tomovski
Year: 2020
presentations (congresses, symposia, conferences, workshops)

ON SOME WEIGHTED HARDY-TYPE INEQUALITIES INVOLVING EXTENDED RIEMANN-LIOUVILLE FRACTIONAL CALCULUS OPERATORS
Zhivorad Tomovski, Sajid Iqbal, Josip Pecaric, Muhammad Samraiz, Hassan Tehmeena
Year: 2020, Communications of the Korean Mathematical Society
journal article

Asymptotic expansion of Mathieu power series and trigonometric Mathieu series
Stefan Gerhold, Zhivorad TOMOVSKI
Year: 2019, JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
journal article

Fractional Equations and Models
Trifce Sandev, Zhivorad TOMOVSKI
Year: 2019, Springer International Publishing
specialist book

Generalized diffusion-wave equation with different memory kernels,
Zhivorad Tomovski, Alexey Chechkin, Trifce Sandev, Johan Dubbeldam
Year: 2019, J. Phys A Math. Theor.
journal article

On a certain extension of the Riemann-Liouville fractional derivative operator
G. Rahman, K.S. Nisar, Zhivorad Tomovski
Year: 2019, Comm. Korean Math. Soc
journal article

On a new (p,q) Mathieu-type power series and its applications,
Zhivorad Tomovski, Khaled Mehrez
Year: 2019, Appl. Anal. Discrete Math.
journal article

On some Hardy-type inequalities for generalized fractional integrals,
Zhivorad Tomovski, Mohamed Samraiz, Sajid Iqbal, S. Shahzadi
Year: 2019, Fractional Differential Calculus
journal article

Distributed order wave equations with composite time fractional derivative
Zhivorad TOMOVSKI, Trifce Sandev
Year: 2018, INT J COMPUT MATH
journal article

New inequalities for Some generalized Mathieu Type series and Riemann Zeta Function
Hari M. Srivastava, Khaled Mehrez, Zhivorad Tomovski
Year: 2018, J. Math. Inequal.
journal article

Weighted Hardy-type inequalities involving convex function for fractional calculus operators,
Zhivorad Tomovski, Sajid Iqbal, Josip Pecaric, Lars-Eric Persson
Year: 2018, Transactions of A. Razmadze Mathematical Institute,
journal article

Weighted Hardy-type inequalities involving fractional calculus operators,
Sajid Iqbal, Mohamed Samraiz, Josip Pecaric, Zhivorad Tomovski
Year: 2018, Rad HAZU
journal article

Generalized distributed order diffusion equations with composite time fractional derivative
Zhivorad Tomovski, Trifce Sandev, Bojan Crnkovic
Year: 2017, COMPUT MATH APPL
journal article

Hardy type inequalities for generalized fractional integral operators
Zhivorad Tomovski, Josip Pecaric, Sajid Iqbal, Mohamed Samraiz
Year: 2017, Tbilisi Math. Journal
journal article

On some Hardy type inequalities for fractional calculus operators,
Zhivorad Tomovski, Josip Pecaric, Mohamed Samraiz, Sajid Iqbal
Year: 2017, Banach J. Math. Anal. Appl.
journal article

Some families of generalized Mathieu type power series, associated probability distributions and related inequalities involving complete monotonicity and log-convexity
Zhivorad TOMOVSKI, Khaled Mehrez
Year: 2017, MATH INEQUAL APPL
journal article

Weighted Opial type inequalities for fractional integral and differential operators involving generalized Mittag-Leffler functions
Zhivorad Tomovski, Josip Pecaric, G. Farid
Year: 2017, Europen J. Pure Applied Mathematics
journal article

Generalized Opial-type inequalities for differential and integral operators with special kernels in fractional calculus
G. Farid, Josip Pecaric, Zhivorad Tomovski
Year: 2016, J. Math. Ineq.
journal article

Probability distribution built by Prabhakar function. Related Turan and Laguerre inequalities
Zhivorad Tomovski, Tibor Poganj
Year: 2016, Integral transform Special Functions
journal article

Some properties of Prabhakar type fractional calculus operators,
Zhivorad Tomovski, Federico Polito
Year: 2016, Fractional Differential Calculus
journal article

Analytical solution of generalized space-time fractional cable equation,
R. K. Saxena, Zhivorad Tomovski, Trifce Sandev
Year: 2015, Mathematics
journal article

Some Families of Mathieu type series and Hurwitz-Lerch Zeta functions and associated probability distributions
Hari M. Sriavstava, Zhivorad Tomovski, Delco Leskovski
Year: 2015, Appl. Comput. Math.,
journal article

Space-time fractional Schrodinger equation with composite time fractional derivative
Trifce Sandev, Zhivorad Tomovski, Johan Dubbeldam
Year: 2015, Fractional Calculus Applied Analysis
journal article

Weighted Opial inequalities for fractional integral and differential operators involving generalized Mittag-Leffler functions
Zhivorad Tomovski, Josip Pecaric, G. Farid
Year: 2015, Fractional Differential calculus
journal article

Analytic solutions of fractional integro-differential equations of Volterra type with variable coefficients
Zhivorad TOMOVSKI, Roberto Garra
Year: 2014, FRACTIONAL CALCULUS AND APPLIED ANALYSIS
journal article

Correlation functions for the fractional generalized Langevin equation in the presence of internal and external noise
Trifce Sandev, Ralf Metzler, Zhivorad Tomovski
Year: 2014, J. Math. Physics
journal article

Langevin equation for a free particle driven by power law type of noises
Trifce Sandev, Zhivorad Tomovski
Year: 2014, PHYS LETT A
journal article

Laplace type integral expressions for a certain three-parameter family of generalized Mittag-Leffler functions with applications involving complete monotonicity
Zhivorad TOMOVSKI, Tibor K. Pogany, M.H. Srivastava
Year: 2014, J FRANKLIN I
journal article

Exact solutions for fractional diffusion equation in a bounded domain with different boundary conditions
Zhivorad TOMOVSKI, Trifce Sandev
Year: 2013, NONLINEAR DYNAM
journal article

Two-sided bounds for the complete Butzer- Flocke-Hauss omega function
Tibor Poganj, Zhivorad Tomovski, Delco Leskovski
Year: 2013, Matematicki Vesnik
journal article

Fractional Wave Equation with a Frictional Memory Kernel of Mittag-Leffler type
Zhivorad TOMOVSKI, Trifce Sandev
Year: 2012, APPL MATH COMPUT
journal article

Generalized Cauchy type problems for nonlinear fractional differential equations with composite fractional derivative operator
Zhivorad TOMOVSKI
Year: 2012, NONLINEAR ANAL-THEOR
journal article

Generalized space-time fractional diffusion equation with composite fractional time derivative
Zhivorad TOMOVSKI, Trifce Sandev, Ralf Metzler, Johan Dubbeldam
Year: 2012, PHYSICA A
journal article

Probability distributions associated with Mathieu type series
Zhivorad TOMOVSKI, Ram Saxena, Tibor K. Pogany
Year: 2012, ProbStat Forum
journal article

Velocity and displacement correlation functions for fractional generalized Langevin equations
Trifce Sandev, Ralf Metzler, Zhivorad Tomovski
Year: 2012, Fractional Calculus Applied Analysis
journal article

Effects of a fractional friction with power-law memory kernel on string vibrations
Zhivorad TOMOVSKI, Trifce Sandev
Year: 2011, COMPUT MATH APPL
journal article

Fractional diffusion equation with a generalized Riemann-Liouville time fractional derivative
Trifce Sandev, Ralf Metzler, Zhivorad Tomovski
Year: 2011, J PHYS A-MATH THEOR
journal article

Generalized Langevin Equation with a Three Parameter Mittag-Leffler Noise
Trifce Sandev, Zhivorad Tomovski, Johan Dubbeldam
Year: 2011, PHYSICA A
journal article

Integral expressions for Mathieu-type power series and for the Butzer-Flocke-Hauss ?-function
Zhivorad TOMOVSKI, Tibor K. Pogany
Year: 2011, FRACTIONAL CALCULUS AND APPLIED ANALYSIS
journal article

Modeling of a voltametric experiment in a limiting diffusion space
Valentin Mirceski, Zhivorad Tomovski
Year: 2011, J. Solid State Electrochemistry
journal article

Upper bounds on Multiple Generalized Mathieu Series, Journal of Mathematical Inequalities
Zhivorad Tomovski, Delco Leskovski, Tibor Poganj
Year: 2011, J. Math. Ineq.
journal article

Bounds Improvement for Alternating Mathieu type series
Tibor Poganj, Zhivorad Tomovski
Year: 2010, J. Math. Ineq.
journal article

Fractional and Operational Calculus with Generalized Fractional Derivative Operators and Mittag-Leffler Type Functions
Zhivorad TOMOVSKI, Rudolf Hilfer, H.M. Srivastava
Year: 2010, INTEGR TRANSF SPEC F
journal article

General Time Fractional Wave equation for a Vibrating String,
Trifce Sandev, Zhivorad Tomovski
Year: 2010, J PHYS A-MATH THEOR
journal article

Some new Integral Representations of generalized Mathieu series and alternating Mathieu series
Zhivorad TOMOVSKI
Year: 2010, Tamkang Journal of Mathematics
journal article

New upper bounds for Mathieu-type series
Zhivorad Tomovski, Tibor Poganj
Year: 2009, Banach J Math. Anal.
journal article

Operational method for solution of fractional differential equations with generalized Riemann-Liouville fractional derivative
Rudolf Hilfer, Yuri Luchko, Zhivorad Tomovski
Year: 2009, Fractional Calculus Applied Analysis
journal article

Voltammetry based on Fractional Diffusion
Valentin Mirceski, Zhivorad Tomovski
Year: 2009, J. Phys. Chem. B
journal article

Analytical solutions of integral equations for modeling of reversible electrode processes under voltammetric conditions
Valentin Mirceski, Zhivorad Tomovski
Year: 2008, J ELECTROANAL CHEM
journal article

Integral representations and integral transforms of some families of Mathieu type series.
Neven Elezovic, Hari M. Srivastava, Zhivorad Tomovski
Year: 2008, Integral transforms Spec. Funct.
journal article

Some families of Mathieu a-series and Alternating Mathieu a-series,
Tibor Poganj, Hari M. Srivastava, Zhivorad Tomovski
Year: 2006, APPL MATH COMPUT
journal article

Remarks on some classes of Fourier coefficients
Zhivorad Tomovski
Year: 2003, Analysis Mathematica
journal article

Some classes of $L^1$ convergence of Fourier series
Zhivorad Tomovski
Year: 2002, J. Computational Analysis and Applications
journal article

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