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Number of results

Journal

2013 | 11 | 10 | 1233-1237

Article title

Linear discrete systems with memory: a generalization of the Langmuir model

Content

Title variants

Languages of publication

EN

Abstracts

EN
In this manuscript we analyzed a general solution of the linear nonlocal Langmuir model within time scale calculus. Several generalizations of the Langmuir model are presented together with their exact corresponding solutions.The physical meaning of the proposed models are investigated and their corresponding geometries are reported.

Publisher

Journal

Year

Volume

11

Issue

10

Pages

1233-1237

Physical description

Dates

published
1 - 10 - 2013
online
19 - 12 - 2013

Contributors

  • Institute of Physics, Department of Theoretical Physics, Kazan (Volga region) Federal University, Kremlevskaia str. 18, 420008, Kazan, Tatarstan, Russia

References

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  • [2] J. Kankare, I. A. Vinokurov, Langmuir 15, 5591 (1999) http://dx.doi.org/10.1021/la981642r[Crossref]
  • [3] A. Kapoor, J. A. Ritter, R. T. Yang, Langmuir 6, 660 (1990) http://dx.doi.org/10.1021/la00093a022[Crossref]
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  • [5] D. S. G. Karpovich, J. Blanchard, Langmuir 10, 3315 (1994) http://dx.doi.org/10.1021/la00021a066[Crossref]
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  • [9] M.C. Baleanu, R. R. Nigmatullin, S. Okur, K. Ocakoglu, Commun. Nonlinear Sci. 16, 4643 (2011) http://dx.doi.org/10.1016/j.cnsns.2011.02.030[Crossref]
  • [10] A. Erol, S. Okur, B. Comba, O. Mermer, M. C. Arikan, Sens. Actuators B 145, 174 (2010) http://dx.doi.org/10.1016/j.snb.2009.11.051[Crossref]
  • [11] A. A. Kilbas, H. H. Srivastava, J. J. Trujillo, Theory and Applications of Fractional Differential Equations (Elsevier, Amsterdam 2006)
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  • [13] R. L. Magin, Fractional Calculus in Bioengineering (Begell House Publisher, Inc. Connecticut 2006)
  • [14] B. J. West, M. Bologna, P. Grigolini, Physics of Fractal operators (Springer, New York 2003) http://dx.doi.org/10.1007/978-0-387-21746-8[Crossref]
  • [15] D. Baleanu, K. Diethelm, E. Scalas, J. J. Trujillo, Fractional Calculus Models and Numerical Methods (Series on Complexity, Nonlinearity and Chaos, World Scientific 2012)
  • [16] J. A. T. Machado, V. Kiryakova, F. Mainardi, Commun. Nonlinear Sci. 16, 1140 (2011) http://dx.doi.org/10.1016/j.cnsns.2010.05.027[Crossref]
  • [17] M. Bohner, A. Peterson, Dynamic Equations on Time Scales: An Introduction with Applications (Birkhäuser, Boston, Mass, USA, 2001) http://dx.doi.org/10.1007/978-1-4612-0201-1[Crossref]
  • [18] I. Podlubny, Fractional Differential Equations (Academic Press, San Diego CA 1999)
  • [19] R. Bellman, Introduction to Matrix Analysis (Philadelphia: Society for Industrial and Applied Mathematics, 1997) http://dx.doi.org/10.1137/1.9781611971170[Crossref]
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Document Type

Publication order reference

Identifiers

YADDA identifier

bwmeta1.element.-psjd-doi-10_2478_s11534-012-0129-5
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