EDP Sciences logo
Web of Conferences logo
Search
Menu
All issues Volume 268 (2021) E3S Web Conf., 268 (2021) 01080 References
Open Access
Issue
E3S Web Conf.
Volume 268, 2021
2020 6th International Symposium on Vehicle Emission Supervision and Environment Protection (VESEP2020)
Article Number 01080
Number of page(s) 7
DOI https://doi.org/10.1051/e3sconf/202126801080
Published online 11 June 2021
  1. A. Bueno-Orovio, D. Kay, V. Grau, B. Rodriguez, K. Burrage, Fractional diffusion models of cardiac electrical propagation: role of structural heterogeneity in dispersion of repolarization, Tech. Rep. OCCAM 13/35, Oxford Centre for Collaborative Applied Mathematics, Oxford, UK, (2013). [Google Scholar]
  2. D. Cafagna, G. Grassi, Observer-based projective synchronization of fractional systems via a scalar signal: Application to hyperchaotic Rössler systems, Nonlinear Dyn. 68 (1-2), (2012), pp. 117–128. [CrossRef] [Google Scholar]
  3. R. Caponetto, G. Maione, A. Pisano, M.M.R. Rapaic, E. Usai, Analysis and shaping of the self-sustained oscillations in relay controlled fractional-order systems, Fract. Calculus Appl. Anal. 16 (1), (2013), pp. 93–108. [Google Scholar]
  4. R. Garra, Fractional-calculus model for temperature and pressure waves in fluid-saturated porous rocks, Phys. Rev. E 84 (2011) 036605. [CrossRef] [Google Scholar]
  5. R. L. Magin, Fractional calculus in bioengineering, in: 2012 13th International Carpathian Control Conference, ICCC 2012, (2012). [Google Scholar]
  6. R. L. Magin, Fractional calculus models of complex dynamics in biological tissues, Comput. Math. Appl. 59 (5), (2010), pp.1586–1593. [CrossRef] [MathSciNet] [Google Scholar]
  7. J. Tenreiro Machado, P. Stefanescu, O. Tintareanu, D. Baleanu, Fractional calculus analysis of the cosmic microwave background, Romanian Rep. Phys. 65 (1), (2013), pp. 316–323. [Google Scholar]
  8. J. T. Machado, V. Kiryakova, F. Mainardi, Recent history of fractional calculus, Commun. Nonlinear Sci. Numer. Simul. 16 (3), (2011), pp.1140–1153. [CrossRef] [Google Scholar]
  9. C.-H. Yu, Differential properties of fractional functions, International Journal of Novel Research in Interdisciplinary Studies, Vol.7, No. 5, (2020), pp.1–14. [Google Scholar]
  10. C.-H. Yu, Fractional Clairaut's differential equation and its application, International Journal of Computer Science and Information Technology Research, Vol. 8, Issue 4, (2020), pp. 46–49. [Google Scholar]
  11. C.-H. Yu, Separable fractional differential equations, International Journal of Mathematics and Physical Sciences Research, Vol. 8, Issue 2, (2020), pp. 30–34. [Google Scholar]
  12. C.-H. Yu, Fractional derivatives of some fractional functions and their applications, Asian Journal of Applied Science and Technology, Vol. 4, Issue 1, (2020), pp. 147–158. [CrossRef] [Google Scholar]
  13. C.-H. Yu, A study on fractional RLC circuit, International Research Journal of Engineering and Technology, Vol. 7, Issue 8, (2020), pp. 3422–3425. [Google Scholar]
  14. C.-H. Yu, Method for evaluating fractional derivatives of fractional functions, International Journal of Scientific Research in Science, Engineering and Technology, Volume 7, Issue 4, (2020), pp. 286–290. [Google Scholar]
  15. C.-H. Yu, Some fractional differential formulas, International Journal of Novel Research in Physics Chemistry & Mathematics, Volume 7, Issue 3, (2020), pp. 1–4. [Google Scholar]
  16. C.-H. Yu, Integral form of particular solution of nonhomogeneous linear fractional differential equation with constant coefficients, International Journal of Novel Research in Engineering and Science, Vol. 7, Issue 2, (2020), pp. 1–9. [Google Scholar]
  17. C.-H. Yu, A study of exact fractional differential equations, International Journal of Interdisciplinary Research and Innovations, Vol. 8, Issue 4, (2020), pp. 100–105. [Google Scholar]
  18. C.-H. Yu, Research on first order linear fractional differential equations, International Journal of Engineering Research and Reviews, Vol. 8, Issue 4, (2020), pp. 33–37. [Google Scholar]
  19. C.-H. Yu, Method for solving fractional Bernoulli's differential equation, International Journal of Science and Research, Vol. 9, Issue 11, (2020), pp. 1684–1686. [Google Scholar]
  20. C.-H. Yu, Using integrating factor method to solve some types of fractional differential equations, World Journal of Innovative Research, Vol. 9, Issue 5, (2020), pp. 161–164. [Google Scholar]
  21. K. S. Miller and B. Ross, An Introduction to the Fractional Calculus and Fractional Differential Equations, John Wiley & Sons, Inc., New York, (1993). [Google Scholar]
  22. I. Podlubny, Fractional Differential Equations, Academic Press, San Diego (1999). [Google Scholar]
  23. K. B. Oldham and J. Spanier, The Fractional Calculus: Theory and Application of Differentiation and Integration to Arbitrary Order, Academic Press, New York, (1974). [Google Scholar]
  24. S. Das, Functional Fractional Calculus, 2nd ed. Springer-Verlag, (2011). [Google Scholar]
  25. G. Jumarie, Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable functions further results, Computers & Mathematics with Applications, Vol. 51, No. 9, (2006), pp.1367–1376. [CrossRef] [MathSciNet] [Google Scholar]
  26. U. Ghosh, S. Sengupta, S. Sarkar, and S. Das, Analytic solution of linear fractional differential equation with Jumarie derivative in term of Mittag-Leffler function, American Journal of Mathematical Analysis, Vol. 3, No. 2, (2015), pp. 32–38. [Google Scholar]
  27. J. C. Prajapati, Certain properties of Mittag-Leffler function with argument xa, a > 0, Italian Journal of Pure and Applied Mathematics, Vol. 30, (2013), pp. 411–416. [Google Scholar]

Current usage metrics show cumulative count of Article Views (full-text article views including HTML views, PDF and ePub downloads, according to the available data) and Abstracts Views on Vision4Press platform.

Data correspond to usage on the plateform after 2015. The current usage metrics is available 48-96 hours after online publication and is updated daily on week days.

Initial download of the metrics may take a while.