Acknowledgement
Supported by : Educational Commission of Hubei Province of China
References
- M. Bohner, A. Peterson, Dynamic equations on time scales. An introduction with applications, Birkhauser, Boston, MA, 2001.
- M. Bohner, A. Peterson, Advances in Dynamic Equations on Time Scales, Birkhauser,Boston, 2004.
- A. Carpinteri, P. Cornetti, Alberto Sapora, Nonlocal elasticity: an approach based on fractional calculus, Meccanica, (2014),49(11):2551-2569. https://doi.org/10.1007/s11012-014-0044-5
- R. Herrmann, Fractional Calculus:An Introduction for Physicists, World Scientific, Singapore, 2014.
- S. Hilger, Analysis on measure chains-A unified approach to continuous and discrete calculus, Results Math.,(1990),18:18-56. https://doi.org/10.1007/BF03323153
- R. Khalil, M. Al Horani,A. Yousef, M. Sababheh, A new definition of fractional derivative, J. Comput. Appl. Math.,, (2014), 264:57-66.
- K. Miller,B. Ross,An introduction to the fractional calculus and fractional differential equations, New York: Wiley,1993.
- R. P. Meilanov, R. A. Magomedov, Thermodynamics in Fractional Calculus, J. Eng. Phys. Thermophys.,, (2014),87(6):1521-1531. https://doi.org/10.1007/s10891-014-1158-2
- K. B. Oldham,J. Spanier, The fractional calculus, Academic Press, New York and London, 1974.
- I. Podlubny, Fractional differential equations, Academic Press, San Diego, 1999.
- J. Sabatier, O. P. Agrawal, J. A. T. Machado, Advances in Fractional Calculus: Theoretical Developments and Applications in Physics and Engineering, Springer, Dordrecht, The Netherlands, 2007.
- I. Tejado, D. Valrio, N. Valrio, Fractional Calculus in Economic Growth Modelling:The Spanish Case, Controlo2014 -Proceedings of the 11th Portuguese Conference on Automatic Control Lecture Notes in Electrical Engineering,(2015),321:449-458.