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Information on the principal investigator and host institution

Information of the project and the call

Keywords

Equipment

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Relaxation processes in high frequency domain: phenomenology vs fractional dynamics

2016/23/B/ST3/01714

Keywords:

relaxation processes fractional dynamics evolution equations

Descriptors:

  • ST3_13: Structure and dynamics of disordered systems, soft matter, etc.

Panel:

ST3 - Condensed matter physics: structure, electronic properties, fluids, nanosciences, biological physics

Host institution :

Instytut Fizyki Jądrowej im. Henryka Niewodniczańskiego Polskiej Akademii Nauk

woj. małopolskie

Other projects carried out by the institution 

Principal investigator (from the host institution):

dr hab. Katarzyna Górska 

Number of co-investigators in the project: 3

Call: OPUS 12 - announced on 2016-09-15

Amount awarded: 428 700 PLN

Project start date (Y-m-d): 2017-07-19

Project end date (Y-m-d): 2022-07-18

Project duration:: 60 months (the same as in the proposal)

Project status: Project settled

Project description

Download the project description in a pdf file

Note - project descriptions were prepared by the authors of the applications themselves and placed in the system in an unchanged form.

Equipment purchased [PL]

  1. Computer przenośny type Laptop: np. MacBook Pro (13-calowy, dwurdzeniowy processor Intel Core i5 2.0 GHZ, pamięć 8 GB, pamięć masowa flash 256 GB) (7 500 PLN)
  2. Komputer stacjonarny type Desktop: np. iMac (21.5-calowy, czterordzeniowy procesor Intel Core i5 2.9 GHz, 8 GB pamięci RAM, dysk tardy 1 TB) (6 500 PLN)
  3. Comuter przenośny typu Laptop (11 955 PLN)

Information in the final report

  • Publication in academic press/journals (19)
  • Articles in post-conference publications (3)
  1. Mittag-Leffler function and fractional differential equations
    Authors:
    K. Górska, A. Lattanzi, G. Dattoli
    Academic press:
    Fractional Calculus and Applied Analysis (rok: 2018, tom: 21, strony: 220-236), Wydawca: De Gruyter
    Status:
    Published
    DOI:
    10.1515/fca-2018-0014 - link to the publication
  2. Observations on the McKay Iv Bessel distribution,
    Authors:
    K. Górska, A. Horzela, D.J. Maširević, T.K. Pogány
    Academic press:
    J. Math. Anal. Appl. (rok: 2022, tom: 516, strony: 126481), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jmaa.2022.126481 - link to the publication
  3. Operator Ordering and Solution of Pseudo-Evolutionary Equations
    Authors:
    N. Behr, G. Dattoli, and A. Lattanzi
    Academic press:
    Axioms (rok: 2019, tom: 8, strony: 35), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/axioms8010035 - link to the publication
  4. Quasi‐Relativistic Heat Equation via Lévy Stable Distributions: Exact Solutions
    Authors:
    K.A. Penson, K. Górska, A. Horzela, G. Dattoli
    Academic press:
    Ann. Phys.-Berlin (rok: 2018, tom: 530, strony: 1700374), Wydawca: Wiley
    Status:
    Published
    DOI:
    10.1002/andp.201700374 - link to the publication
  5. Non-Debye Relaxations: Two Types of Memories and Their Stieltjes Character
    Authors:
    K. Górska, A. Horzela
    Academic press:
    Mathematics (rok: 2021, tom: 9, strony: 477), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/math9050477 - link to the publication
  6. Non-Debye Relaxations: The Ups and Downs of the Stretched Exponential vs. Mittag–Leffler′s Matchings
    Authors:
    K. Górska, A. Horzela, K.A. Penson
    Academic press:
    Fractal and Fractional (rok: 2021, tom: 5, strony: 265), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/fractalfract5040265 - link to the publication
  7. The Volterra type equations related to the non-Debye relaxation
    Authors:
    K. Górska, A. Horzela
    Academic press:
    Commun. Nonlinear Sci. Numer. Simulat. (rok: 2020, tom: 85, strony: 105246), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2020.105246 - link to the publication
  8. Dual Numbers and Operational Umbral Methods
    Authors:
    N. Behr, G. Dattoli, A. Lattanzi, and S. Licciardi
    Academic press:
    Axioms (rok: 2019, tom: 8, strony: 77), Wydawca: MDPI
    Status:
    Published
    DOI:
    10.3390/axioms8030077 - link to the publication
  9. Integral decomposition for the solutions of the generalized Cattaneo equation
    Authors:
    K. Górska
    Academic press:
    Physics Review E (rok: 2021, tom: 104, strony: 24113), Wydawca: APS Physics
    Status:
    Published
    DOI:
    10.1103/PhysRevE.104.024113 - link to the publication
  10. Non-Debye relaxations: Smeared time evolution, memory effects, and the Laplace exponents
    Authors:
    K. Górska, A. Horzela, T.K. Pogány
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (rok: 2021, tom: 99, strony: 105837,), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2021.105837 - link to the publication
  11. Non-Debye relaxations: The characteristic exponent in the excess wings model,
    Authors:
    K. Górska, A. Horzela, T.K. Pogány
    Academic press:
    Communications in Nonlinear Science and Numerical Simulation (rok: 2021, tom: 103, strony: 106006), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.cnsns.2021.106006 - link to the publication
  12. Some results on the complete monotonicity of Mittag-Leffler functions of Le Roy type
    Authors:
    K. Górska, A. Horzela, and R. Garrappa
    Academic press:
    Fractional Calculus and Applied Analysis (rok: 2019, tom: 22, strony: 1284), Wydawca: De Gruyter
    Status:
    Published
    DOI:
    10.1515/fca-2019-0068 - link to the publication
  13. A note on the article "Anomalous relaxation model based on the fractional derivative with a Prabhakar-like kernel" [Z. Angew. Math. Phys. (2019) 70: 42]
    Authors:
    K. Górska, A. Horzela, and T. K. Pogány
    Academic press:
    Zeitschrift für angewandte Mathematik und Physik (rok: 2019, tom: 70, strony: 42), Wydawca: Springer
    Status:
    Published
    DOI:
    10.1007/s00033-019-1186-z - link to the publication
  14. The Havriliak–Negami relaxation and its relatives: the response, relaxation and probability density functions
    Authors:
    K. Górska, A. Horzela, Ł. Bratek, G. Dattoli, K. A. Penson
    Academic press:
    Journal of Physics A: Mathematical and Theoretical (rok: 2018, tom: 51, strony: 135202), Wydawca: IOP
    Status:
    Published
    DOI:
    10.1088/1751-8121/aaafc0 - link to the publication
  15. Composition law for the Cole-Cole relaxation and ensuing evolution equations
    Authors:
    K. Górska, A. Horzela, A. Lattanzi
    Academic press:
    Physics Letters A (rok: 2019, tom: 383, strony: 1716), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.physleta.2019.03.008 - link to the publication
  16. General approach to stochastic resetting
    Authors:
    R.K. Singh, K. Górska, T. Sandev
    Academic press:
    Phys. Rev. E (rok: 2022, tom: 105, strony: 64133), Wydawca: APS physics
    Status:
    Published
    DOI:
    10.1103/PhysRevE.105.064133 - link to the publication
  17. Generalized Cattaneo (telegrapher′s) equations in modeling anomalous diffusion phenomena
    Authors:
    K. Górska, A. Horzela, E.K. Lenzi, G. Pagnini, T. Sandev
    Academic press:
    Phys. Rev. E (rok: 2020, tom: 102, strony: 22128), Wydawca: APS physics
    Status:
    Published
    DOI:
    10.1103/PhysRevE.102.022128 - link to the publication
  18. On complete monotonicity of three parameter Mittag-Leffler functions
    Authors:
    K. Górska, A. Horzela, A. Lattanzi, T. K. Pogany
    Academic press:
    Applicable Analysis and Discrete Mathematics (rok: 2021, tom: 15, strony: 118-128), Wydawca: University of Belgrade
    Status:
    Published
    DOI:
    10.2298/AADM190226025G, - link to the publication
  19. On the application of Mittag–Leffler functions to hyperbolic-type decay of luminescence
    Authors:
    A. Lattanzi, G. Casasanta, R. Garra
    Academic press:
    Journal of Physics and Chemistry of Solids (rok: 2021, tom: 163, strony: 110538), Wydawca: Elsevier
    Status:
    Published
    DOI:
    10.1016/j.jpcs.2021.110538 - link to the publication
  1. Evolution Equations in a Nutshell
    Authors:
    A. Lattanzi, D. Levi, A. Torre
    Conference:
    the 12th Conference of the Society of Physicists of Macedonia (rok: 2018, ), Wydawca: Society of Physicists of Macedonia
    Data:
    konferencja 27-30 September 2018
    Status:
    Published
  2. How to Deal with Nonlocality and Pseudodifferential Operators. An Example: The Salpeter Equation
    Authors:
    A. Lattanzi
    Conference:
    The 11th International Symposium, Montreal, Canada (rok: 2021, ), Wydawca: Springer
    Data:
    konferencja July 1-5, 2019
    Status:
    Published
  3. The causality-composition law for the non-Debye relaxations
    Authors:
    K. Gorska, A. Horzela, A. Lattanzi, and P. Bochnacki
    Conference:
    The 32nd International Colloquium on Group Theoretical Methods in Physics (Group32) (rok: 2018, ), Wydawca: IOP
    Data:
    konferencja 9-13.07.2018
    Status:
    Published

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