Startseite Positive solutions of higher-order nonlinear multi-point fractional equations with integral boundary conditions
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Positive solutions of higher-order nonlinear multi-point fractional equations with integral boundary conditions

  • Mustafa Günendi EMAIL logo und İsmail Yaslan
Veröffentlicht/Copyright: 29. August 2016
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Fractional Calculus and Applied Analysis
Aus der Zeitschrift Fractional Calculus and Applied Analysis Band 19 Heft 4

Abstract

In this article, we consider a nonlinear higher-order m-point fractional boundary-value problem with integral boundary conditions. We establish criteria for the existence of at least one, two and three positive solutions for higher order nonlinear m-point fractional boundary-value problems with integral boundary conditions by using the four functionals fixed point theorem, the Avery-Henderson fixed point theorem and the Legget-Williams fixed point theorem, respectively.

MSC 2010: Primary 26A33; Secondary 34B18, 34B27
Key Words and Phrases: boundary value problems; cone; fixed point theorems; positive solutions; Riemann-Liouville fractional derivative; integral boundary conditions

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Received: 2015-3-6
Revised: 2016-5-1
Published Online: 2016-8-29
Published in Print: 2016-8-1

© 2016 Diogenes Co., Sofia

Artikel in diesem Heft

  1. Frontmatter
  2. Editorial
  3. FCAA Related News, Events and Books (FCAA–Volume 19–4–2016)
  4. Survey Paper
  5. Responses comparison of the two discrete-time linear fractional state-space models
  6. Survey Paper
  7. A survey on impulsive fractional differential equations
  8. Research Paper
  9. Generalization of the fractional poisson distribution
  10. Research Paper
  11. Diffusivity identification in a nonlinear time-fractional diffusion equation
  12. Research Paper
  13. An extension problem for the fractional derivative defined by Marchaud
  14. Research Paper
  15. Strong maximum principle for fractional diffusion equations and an application to an inverse source problem
  16. Research Paper
  17. The Neumann problem for the generalized Bagley-Torvik fractional differential equation
  18. Research Paper
  19. On the fractional probabilistic Taylor's and mean value theorems
  20. Research Paper
  21. Time-fractional heat conduction in a two-layer composite slab
  22. Research Paper
  23. Weighted adams type theorem for the riesz fractional integral in generalized morrey space
  24. Research Paper
  25. Fractional schrödinger equation with zero and linear potentials
  26. Research Paper
  27. Positive solutions of higher-order nonlinear multi-point fractional equations with integral boundary conditions
  28. Research Paper
  29. Weighted bounded solutions for a class of nonlinear fractional equations
  30. Research Paper
  31. Existence and global asymptotic behavior of positive solutions for superlinear fractional dirichlet problems on the half-line
  32. Short Paper
  33. Functional delay fractional equations
https://doi.org/10.1515/fca-2016-0054
Schlagwörter für diesen Artikel
boundary value problems; cone; fixed point theorems; positive solutions; Riemann-Liouville fractional derivative; integral boundary conditions

Artikel in diesem Heft

  1. Frontmatter
  2. Editorial
  3. FCAA Related News, Events and Books (FCAA–Volume 19–4–2016)
  4. Survey Paper
  5. Responses comparison of the two discrete-time linear fractional state-space models
  6. Survey Paper
  7. A survey on impulsive fractional differential equations
  8. Research Paper
  9. Generalization of the fractional poisson distribution
  10. Research Paper
  11. Diffusivity identification in a nonlinear time-fractional diffusion equation
  12. Research Paper
  13. An extension problem for the fractional derivative defined by Marchaud
  14. Research Paper
  15. Strong maximum principle for fractional diffusion equations and an application to an inverse source problem
  16. Research Paper
  17. The Neumann problem for the generalized Bagley-Torvik fractional differential equation
  18. Research Paper
  19. On the fractional probabilistic Taylor's and mean value theorems
  20. Research Paper
  21. Time-fractional heat conduction in a two-layer composite slab
  22. Research Paper
  23. Weighted adams type theorem for the riesz fractional integral in generalized morrey space
  24. Research Paper
  25. Fractional schrödinger equation with zero and linear potentials
  26. Research Paper
  27. Positive solutions of higher-order nonlinear multi-point fractional equations with integral boundary conditions
  28. Research Paper
  29. Weighted bounded solutions for a class of nonlinear fractional equations
  30. Research Paper
  31. Existence and global asymptotic behavior of positive solutions for superlinear fractional dirichlet problems on the half-line
  32. Short Paper
  33. Functional delay fractional equations
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