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UO > About > Organizational Structure > Faculties & Institutes > Centre of Excellence IT4Innovations, division of UO, Institute for Research and Applications of Fuzzy Modeling

Zhivorad Tomovski

Zhivorad Tomovski

Academic degree, name, surname:
prof. Zhivorad Tomovski, Dr.
Room, floor, building:
C 601, Building C
Position:
Research interests and teaching:
mathematical analysis, applied mathematics, fractional differential, integral equations and transforms, anomalous diffusion and random walk models
Department (Faculty):
Institute for Research and Applications of Fuzzy Modeling
Phone number, mobile:
+420 553 46 1405
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
 


An operational calculus approach to Hilfer–Prabhakar fractional derivatives
Arran Fernandez, Noozheza Ranni, Zhivorad Tomovski
Year: 2023, Banach J Math. Anal. Appl.
journal article
 
Volterra-Prabhakar function of distributed order and some applications
Katarzyna Gorska, Tobiaz Pietrzak, Trifce Sandev, Zhivorad Tomovski
Year: 2023, J COMPUT APPL MATH
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
 
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
 

An operational calculus approach to Hilfer–Prabhakar fractional derivatives
Arran Fernandez, Noozheza Ranni, Zhivorad Tomovski
Year: 2023, Banach J Math. Anal. Appl.
journal article
 
Volterra-Prabhakar function of distributed order and some applications
Katarzyna Gorska, Tobiaz Pietrzak, Trifce Sandev, Zhivorad Tomovski
Year: 2023, J COMPUT APPL MATH
journal article
 
Convolutions for Bernoulli and Euler–Genocchi Polynomials of order (r,m) and their probabilistic Interpretation
Robert Frontczak, Zhivorad Tomovski
Year: 2022, Symmetry
journal article
 
Convolutions for Bernoulli and Euler–Genocchi Polynomials of Order (r,m) and Their Probabilistic Interpretation
Robert Frontczak, Zhivorad Tomovski
Year: 2022, Symmetry
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 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)
 
Geometric Properties of Some Generalized Mathieu Power Series inside the Unit Disk
Zhivorad Tomovski, Stefan Gerhold, D. Bansal, A. Soni
Year: 2022, Axioms
journal article
 
Mathieu-Fibonacci series
Zhivorad Tomovski, Stefan Gerhold
Year: 2022, Journal of Integer Sequences
journal article
 
Mathieu-Fibonacci series
Zhivorad Tomovski
Year: 2022
organizing conference, workshop
 
Symmetric distributions, moments and Applications
Zhivorad Tomovski
Year: 2022, MDPI
specialist book
 
Symmetric Distributions, Moments and Applications”
Zhivorad Tomovski
Year: 2022, Symmetry
journal article
 
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 Ω-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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Author
Title
Type of thesis
Year
Wirahadikusuma Julian Russell
Gaussian normal distributions
Bachelor's thesis
2024



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