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On a fractional differential inclusion with “maxima”

Published/Copyright: November 9, 2016
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Fractional Calculus and Applied Analysis
From the journal Fractional Calculus and Applied Analysis Volume 19 Issue 5

Abstract

We study a boundary value problem associated to a fractional differential inclusion with “maxima”. Several existence results are obtained by using suitable fixed point theorems when the right hand side has convex or non convex values.

MSC 2010: Primary 34A60; Secondary 34K10; 47H10; 26A33
Key Words and Phrases: fractional differential inclusion; Caputo fractional derivative; boundary value problem; fixed point; contractive set-valued map

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Received: 2016-01-04
Published Online: 2016-11-09
Published in Print: 2016-10-01

© 2016 Diogenes Co., Sofia

Articles in the same Issue

  1. Frontmatter
  2. Editorial
  3. FCAA related news, events and books (FCAA–volume 19–5–2016)
  4. Round Table Discussion
  5. Fractional Calculus: D’où venons-nous? Que sommes-nous? Où allons-nous?
  6. Survey Paper
  7. Models of dielectric relaxation based on completely monotone functions
  8. Survey Paper
  9. Space-time fractional stochastic equations on regular bounded open domains
  10. Discussion Paper
  11. Geometric interpretation of fractional-order derivative
  12. Survey Paper
  13. Fractional calculus in image processing: a review
  14. Research Paper
  15. Structural derivative based on inverse Mittag-Leffler function for modeling ultraslow diffusion
  16. Research Paper
  17. On the regional controllability of the sub-diffusion process with Caputo fractional derivative
  18. Discussion Survey
  19. There’s plenty of fractional at the bottom, I: Brownian motors and swimming microrobots
  20. Research Paper
  21. On a fractional differential inclusion with “maxima”
  22. Research Paper
  23. On time-fractional representation of an open system response
  24. Archive Paper
  25. On the summation of Taylor’s series on the contour of the domain of summability
https://doi.org/10.1515/fca-2016-0067
Keywords for this article
fractional differential inclusion; Caputo fractional derivative; boundary value problem; fixed point; contractive set-valued map

Articles in the same Issue

  1. Frontmatter
  2. Editorial
  3. FCAA related news, events and books (FCAA–volume 19–5–2016)
  4. Round Table Discussion
  5. Fractional Calculus: D’où venons-nous? Que sommes-nous? Où allons-nous?
  6. Survey Paper
  7. Models of dielectric relaxation based on completely monotone functions
  8. Survey Paper
  9. Space-time fractional stochastic equations on regular bounded open domains
  10. Discussion Paper
  11. Geometric interpretation of fractional-order derivative
  12. Survey Paper
  13. Fractional calculus in image processing: a review
  14. Research Paper
  15. Structural derivative based on inverse Mittag-Leffler function for modeling ultraslow diffusion
  16. Research Paper
  17. On the regional controllability of the sub-diffusion process with Caputo fractional derivative
  18. Discussion Survey
  19. There’s plenty of fractional at the bottom, I: Brownian motors and swimming microrobots
  20. Research Paper
  21. On a fractional differential inclusion with “maxima”
  22. Research Paper
  23. On time-fractional representation of an open system response
  24. Archive Paper
  25. On the summation of Taylor’s series on the contour of the domain of summability
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