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On an eigenvalue problem involving the fractional (s, p)-Laplacian

  • Maria Fărcăşeanu EMAIL logo
Published/Copyright: March 13, 2018
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Fractional Calculus and Applied Analysis
From the journal Fractional Calculus and Applied Analysis Volume 21 Issue 1

Abstract

In this paper we analyze an eigenvalue problem involving the fractional (s, p)-Laplacian, which possesses on the one hand a continuous family of eigenvalues and, on the other hand, one more eigenvalue, which is isolated in the set of eigenvalues of the problem.

MSC 2010: Primary 35D30; Secondary 46E30; 46E35
Key Words and Phrases: eigenvalue problem; fractional Sobolev space; fractional (s, p)-Laplacian

Acknowledgements

This research was partially supported by CNCS-UEFISCDI Grant No. PN-III-P4-ID-PCE-2016-0035.

References

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Received: 2017-8-1
Published Online: 2018-3-13
Published in Print: 2018-2-23

© 2018 Diogenes Co., Sofia

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https://doi.org/10.1515/fca-2018-0006
Keywords for this article
eigenvalue problem; fractional Sobolev space; fractional (s, p)-Laplacian

Articles in the same Issue

  1. Frontmatter
  2. Editorial Note
  3. FCAA related news, events and books (FCAA–volume 21–1–2018)
  4. Survey Paper
  5. From continuous time random walks to the generalized diffusion equation
  6. Survey Paper
  7. Properties of the Caputo-Fabrizio fractional derivative and its distributional settings
  8. Research Paper
  9. Exact and numerical solutions of the fractional Sturm–Liouville problem
  10. Research Paper
  11. Some stability properties related to initial time difference for Caputo fractional differential equations
  12. Research Paper
  13. On an eigenvalue problem involving the fractional (s, p)-Laplacian
  14. Research Paper
  15. Diffusion entropy method for ultraslow diffusion using inverse Mittag-Leffler function
  16. Research Paper
  17. Time-fractional diffusion with mass absorption under harmonic impact
  18. Research Paper
  19. Optimal control of linear systems with fractional derivatives
  20. Research Paper
  21. Time-space fractional derivative models for CO2 transport in heterogeneous media
  22. Research Paper
  23. Improvements in a method for solving fractional integral equations with some links with fractional differential equations
  24. Research Paper
  25. On some fractional differential inclusions with random parameters
  26. Research Paper
  27. Initial boundary value problems for a fractional differential equation with hyper-Bessel operator
  28. Research Paper
  29. Mittag-Leffler function and fractional differential equations
  30. Research Paper
  31. Complex spatio-temporal solutions in fractional reaction-diffusion systems near a bifurcation point
  32. Research Paper
  33. Differential and integral relations in the class of multi-index Mittag-Leffler functions
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