prof. dr hab. inż Małgorzata Klimek
pokój: 313, al. Armii Krajowej 21
tel.:
email:
Życiorys
studia
Wydział Podstawowych Problemów Techniki, Politechnika Wrocławska, kierunek matematyka stosowana, ukończone w 1981 r.
stopnie naukowe
1993 - doktor nauk fizycznych - Instytut Fizyki Teoretycznej Uniwersytetu Wrocławskiego
2003 - doktor habilitowany nauk fizycznych - Instytut Fizyki Teoretycznej Uniwersytetu Wrocławskiego
2015 - profesor nauk technicznych
dyscyplina naukowa
fizyka matematyczna
mechanika niecałkowitego rzędu (NR)
analiza niecałkowitego rzędu (NR) i jej zastosowania
problem Sturma-Liouville'a NR
własności równań na przestrzeniach dyskretnych i nieprzemiennych
stanowiska
profesor zwyczajny
kierownik Zakładu Matematyki Przemysłowej
prezes Częstochowskiego Oddziału Polskiego Towarzystwa Matematycznego w kadencji 2011-2013
wiceprezes Częstochowskiego Oddziału Polskiego Towarzystwa Matematycznego w kadencji 2014-2016
dydaktyka
wykłady
kierunek Matematyka - Teoria Miary i Całki
kierunek Matematyka - Analiza Matematyczna III
kierunek Matematyka - Metody Operatorowe w Równaniach Różniczkowych
wykłady w języku angielskim
European Faculty of Engineering - Mathematics I
European Faculty of Engineering - Mathematics II
nagrody i odznaczenia
2010 - Medal Komisji Edukacji Narodowej
Dwukrotnie Indywidualna Nagroda Rektora Politechniki Częstochowskiej I stopnia za osiągnięcia naukowo-badawcze
Czterokrotnie Indywidualna Nagroda Rektora Politechniki Częstochowskiej II stopnia za osiągnięcia naukowe-badawcze
Wielokrotnie Zespołowa Nagroda Rektora Politechniki
Częstochowskiej za osiągnięcia w pracy organizacyjnej (I, II i III stopnia)
Publikacje:
Monografia naukowa
Klimek M., On Solutions of Linear Fractional Differential Equations of a Variational Type, The Publishing Office of the Czestochowa University of Technology, Czestochowa 2009
Skrypty w wersji elektronicznej dla European Faculty of Engineering (język angielski)
Klimek M., Domański Z., Błaszczuk J., Mathematics I
Klimek M., Domański Z., Błaszczuk J., Mathematics II
Artykuły naukowe
2016
Klimek M., Fractional Sturm-Liouville Problem in Terms of Riesz Derivatives. In: Theoretical Developments and Applications of Non-Integer Order Systems. Eds: Stefan Domek, Paweł Dworak. Proceedings of the 7th Conference on Non-Integer Order Calculus and Its Applications. 2015, Szczecin Poland. Lecture Notes in Electrical Engineering 357. Springer 2016. dx.doi.org/10.100...-23039-9_1
Klimek M., Malinowska A.B., Odzijewicz T., Applications of the fractional Sturm-Liouville problem to the space-time fractional diffusion in a finite domain, Fractional Calculus and Applied Analysis (2016), Vol. 19, pp. 516-550. dx.doi.org/10.151...-2016-0027
2015
Błasik M., Klimek M., Numerical solution of the one phase 1D fractional Stefan problem using the front fixing method. Mathematical Methods in the Applied Sciences (2015) Vol 38, pp. 3214-3228. dx.doi.org/10.100...
Klimek M., Błasik M., Regular Sturm-Liouville problem with Riemann-Liouville derivatives of order in (1,2): discrete spectrum, solutions and applications.
In: Advances in Modeling and Control of Non-integer Order Systems. Eds: K.J. Latawiec, M. Łukaniszyn, R. Stanisławski. Proceedings of the 6th Conference on Non-integer Order Calculus and Its Applications, 2014 Opole, Poland. Lecture Notes in Electrical Engineering 320. Springer 2015. link.springer.com...-09900-2_3
Klimek M., Fractional Sturm-Liouville problem and 1D space-time fractional diffusion problem with mixed boundary conditiond. In: Proceedings of the ASME 2015 International Design Engineering Technical Conferences (IDETC) and Computers and Information in Engineering Conference (CIE), 2015 Boston USA. Paper DETC2015-46808.
Proc. ASME 2015 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. Volume 9: 2015 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications. Boston, Massachusetts, USA, August 2-5, 2015.
dx.doi.org/10.111...2015-46808
Klimek M., 2D space-time fractional diffusion on bounded domain - Application of the fractional Sturm-Liouville theory. In: Proceedings of the 20th International Conference on Methods and Models in Automation and Robotics (MMAR), 2015, Międzyzdroje Poland. http://dx.doi.org...15.7283893
2014
Klimek M., Odzijewicz T., Malinowska A.B., Variational methods for the fractional Sturm-Liouville problem. Journal of Mathematical Analysis and Applications (2014) Vol. 416, pp. 402-426. dx.doi.org/10.101...014.02.009
Klimek M., Błasik M., Regular fractional Sturm-Liouville problem with discrete spectrum: Solutions and applications. In: Proceedings of the 2014 International Conference on Fractional Differentiation and Its Applications. Catania, Italy. dx.doi.org/10.110...14.6967383
2013
Klimek M., Lupa M., Reflection symmetric formulation of generalized fractional variational calculus. Fractional Calculus and Applied Analysis (2013) Vol.16, pp. 243-261. dx.doi.org/10.247...013-0015-x
Klimek M., Agrawal O.P., Fractional Sturm-Liouville Problem. Computers & Mathematics with Applications (2013) 66, pp. 795-812.dx.doi.org/10.101...012.12.011
Klimek M., Agrawal O.P., Space- and time-fractional Legendre-Pearson diffusion. In: Proceedings of the ASME 2013 International Design Engineering Technical Conferences (IDETC) and Computers and Information in Engineering Conference (CIE), 2013 Portland USA. Paper DETC2013-12604.
Proc. ASME. 55911; Volume 4: 18th Design for Manufacturing and the Life Cycle Conference; 2013 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, V004T08A019.August 04, 2013
DETC2013-12604
dx.doi.org/10.111...2013-12604
Klimek M. , On reflection symmetry and its application to the Euler-Lagrange equations in fractional mechanics. Philosophical Transactions of the Royal Society A: Mathematical, Physical & Engineering Sciences (2013) Vol. 371, 20120145. dx.doi.org/10.109....2012.0145
Klimek M., Agrawal O.P., Regular fractional Sturm-Liouville problem with generalized derivatives of order in (0,1). In: Proceedings of the 2013 IFAC Joint Conference: 5th SSSC, 11th WTDA, 6th WFDA, 4-6 February 2013, Grenoble, France. dx.doi.org/10.318...4032.00170
Błasik M. , Klimek M., Exact solution of two-term nonlinear fractional differential equation with sequential Riemann-Liouville derivatives. In: Advances in the Theory and Applications of Non-integer Order Systems. Proceedings of the 5th Conference on Non-integer Order Calculus and Its Applications (2013) Cracow, Poland.
Lecture Notes in Electrical Engineering 257. Springer 2013. link.springer.com...00933-9_14
Klimek M., Lupa, M. Reflection symmetry in fractional calculus - Properties and applications. In: Advances in the Theory and Applications of Non-integer Order Systems. Proceedings of the 5th Conference on Non-integer Order Calculus and Its Applications (2013) Cracow, Poland. Lecture Notes in Electrical Engineering 257. Springer 2013.
dx.doi.org/10.100...00933-9_18
2012
Klimek M. , Błasik M., Existence and uniqueness of solution for a class of nonlinear sequential differential equations of fractional order. Central European Journal of Mathematics (2012) Vol. 10, pp.1981-1994. http://www.im.pcz....php?id=20
dx.doi.org/10.247...012-0112-9
Błasik M., Klimek M. , Exact and numerical solutions of sequential fractional differential equations of order in (1,2). Proceedings of the 13th International Carpathian Control Conference (Vysoke Tatry, Podbanske - Slovakia, 2012). IEEE Conference Publications. dx.doi.org/10.110...12.6228613
Klimek M. , Agrawal O.P., On a Regular Fractional Sturm-Liouville Problem with derivatives of order in (0,1). Proceedings of the 13th International Carpathian Control Conference (Vysoke Tatry, Podbanske - Slovakia, 2012). IEEE Conference Publications.
dx.doi.org/10.110...12.6228655
Klimek M., Lupa M., Reflection symmetry properties of generalized fractional derivatives. Scientific Research of the Institute of Mathematics and Computer Science, (2012) Vol. 11 No. 3, pp. 71-80. http://www.srimcs...art_08.pdf
2011
Klimek M., Sequential fractional differential equations with Hadamard derivative, Communications in Nonlinear Science and Numerical Simulatation, 2011, 16, 4689- 4697. dx.doi.org/10.101...011.01.018
Błaszczyk T., Ciesielski M., Klimek M., Leszczynski J., Numerical solution of fractional oscillator equation, Applied Mathematics and Computation, 2011, 218, 2480-2488.dx.doi.org/10.101...011.07.062
Klimek M., On contraction principle applied to nonlinear fractional differential equations with derivatives of order alpha in (0, 1), Banach Center Publications (2011) Vol. 95, pp. 325-338. dx.doi.org/10.406...
Klimek M., Błasik M., On application of contraction principle to solve two-term fractional differential equations, Acta Mechanica et Automatica (2011) Vol. 5, pp. 5-10. http://www.actawm...11_059.pdf
Klimek M., Lupa M., On reflection symmetry in fractional mechanics, Scientific Research of the Institute of Mathematics and Computer Science, 2011, 1 (10), 109-122. http://www.srimcs...art_12.pdf
Klimek M., Błasik M., Existence-uniqueness result for nonlinear two-term sequential FDE, In: Bernardini D., Rega G. and Romeo F. (Eds), Proceedings of the 7th European Nonlinear Dynamics Conference (ENOC 2011) (24-29 Jul. 2011 Rome Italy), 2011. Minisymposium MS-6
dx.doi.org/10.326...OC2011Rome
Klimek M., On Reflection symmetry and its application to the Euler-Lagrange equations in
fractional mechanics. Proceedings of the ASME 2011 International Design Engineering Technical Conferences (IDETC) and Computers and Information in Engineering Conference (CIE), 2011 Washington USA. Paper DETC2011-47721.
Proc. ASME. 54808; Volume 3: 2011 ASME/IEEE International Conference on Mechatronic and Embedded Systems and Applications, Parts A and B:241-250.January 01, 2011
ASMECP002011054808000241000001
dx.doi.org/10.111...2011-47721
2001-2010 wybrane publikacje
Klimek M., On analogues of exponential functions for antisymmetric fractional derivatives. Computers & Mathematics with Applications (2010) Vol. 59, pp. 1709-1717. dx.doi.org/10.101...009.08.013
Klimek M.,Existence-uniqueness result for a certain equation of motion in fractional mechanics. Bulletin of the Polish Academy of Sciences: Technical Sciences (2010) Vol. 58, pp. 573-581. dx.doi.org/10.247...010-0058-7
Klimek M.: Stationarity conservation laws for certain linear fractional differential equations. Journal of Physics A (2001), Vol. 34, pp. 6167-6184. dx.doi.org/10.108.../34/31/311
Klimek M.: On conservation laws for models in discrete, noncommutative and ractional differential calculus AIP Conference Proceedings 589 New Developments in Fundamental Internaction Theories: 37th Karpacz Winter School of Theoretical Physics, Karpacz 2001, 255-264. dx.doi.org/10.106...
Klimek M., Fractional sequential mechanics models with symmetric fractional derivative Czechoslovak Journal of Physics (2001) Vol 51, pp. 1348-1354. http://link.sprin...3378221617
Klimek M., Stationarity conservation laws for fractional differential equations with variable coefficients. Journal of Physics A (2002) Vol. 35, pp. 6675-6693.dx.doi.org/10.108.../35/31/311
Klimek M., Conservation laws for a class of nonlinear equations with variable coefficients on discrete and noncommutative spaces. Journal of Mathematical Physics (2002) Vol. 43, pp. 3610-3635.dx.doi.org/10.106...
Klimek M., Lagrangean and Hamiltonian fractional sequential mechanics. Czechoslovak Journal of Physics (2002) Vol. 52, pp. 1247-1253. http://link.sprin...1389004982
Klimek M., Lagrangian fractional mechanics - a noncommutative approach, Czechoslovak Journal of Physics (2005) Vol. 55, pp. 1447-1454. http://link.sprin...006-0024-7
Klimek M., Fractional mechanics - a noncommutative approach, 2nd IFAC Workshop on Fractional Differentiation and its Applications, PORTO 2006, 198-203. |
