본문 바로가기
KERD
논문KCI 등재

Existence and multiplicity of positive solutions for boundary-value problems of non-linear fractional differential equations

1

조회

0

다운로드

2

인용

0

참고문헌

주제분류수학

초록

Existence and multiplicity of positive solutions for boundary-value problemsof non-linear fractional differential equations

Abstract

Existence and multiplicity of positive solutions for boundary-value problemsof non-linear fractional differential equations

참고문헌 (26)

  1. A. Debbouche, "Nonlocal nonlinear integrodi¤ erential equations of fractional orders", Bound. Value Probl, 2012(78), pp.10~ (2012)
  2. S. Araci, "On the identities involving special polynomials arising from point of view of Fractional calculus", ~
  3. E. ¸Sen, "Existence and Uniqueness of Positive solutions of Boundary value problems for Fractional Di¤ erential Equations with p-Laplacian Operator and identities on the some special polynomials", Journal of Function Spaces and Applications, 2013, pp.11~ (2013)
  4. A. A. Kilbas, "Theory and Applications of Fractional Di¤er-ential Equations" (2006), Elsevier
  5. D. Baleanu, "On exact solutions of a class of fractional Euler-Lagrange equations", Nonlinear Dynamics, 52(4), pp.331~335 (2008)
  6. M. A. Krasnosel’skii, "Positive solutions of operator equations" (1964), Noordhoff Gronigen
  7. R. W. Leggett, "Multiple positive solutions of nonlinear operators on ordered Banach spaces", Indiana Univ.Math.J, 28, pp.673~688 (1979)
  8. I. Podlubny, "Fractional Differential equations", Mathematics in Science and Engineering, 198 (1999), Academic Press
  9. S. G. Samko, "Fractional Integral And Derivatives (Theorey and Applications)" (1993), Gordon and Breach
  10. Z.Bai, "Positive solutions for boundary-value problem of nonlinear fractional differen-tial equation", J. Math. Anal. Appl, 311, pp.495~505 (2005)
  11. S. Zhang, "The Existence of a Positive Solution for a Nonlinear Fractional Di¤ erential Equa-tion", J. Math. Anal. Appl, 252, pp.804~812 (2000)
  12. S. Zhang, "Existence of Positive Solution for some class of Nonlinear Fractional Differential Equations", J. Math. Anal. Appl, 278(1), pp.136~148 (2003)
  13. S. Zhang, "Positive Solutions for boundary-value problems of nonlinear fractional diff erential equations", Electron. J. Differ. Eq., 2006(36), pp.1~12 (2006)
  14. X. Xu, "Multiple positive solutions for the boundary-value problem of a nonlinear fractional di¤ erential equation", Nonlinear Anal, 71, pp.4676~4688 (2009)
  15. Z. Han, "Positive solutions to boundary-value problems of p-laplacian fractional di¤ erential equations with a parameter in the boundary", Electron. J. Di¤er. Eq., 2012, pp.1~14 (2012)
  16. V. Lakshmikantham, "Basic theory of fractional di¤ erential equations", Nonlinear Anal, 69(8), pp.2677~2682 (2008)
  17. M. El-Shahed, "On the Existence of Positive Solutions for a Boundary Valued Problem of Fractional Order", Thai Journal of Mathematics, 5(1), pp.143~150 (2007)
  18. Y. Zhao, "The existence of multiple positive solutions for boundary value problems of nonlinear fractional differential equations", Commun. Nonlinear Sci. Numer. Simulat., 16, pp.2086~2097 (2011)
  19. A. Guezane-Lakoud, "Solvability of a fractional boundary-value problem with frac-tional integral condition", Nonlinear Analysis, 75, pp.2692~2700 (2012)
  20. R.L. Bagley, "A theoretical basis for the application of fractional calculus to viscoelasticity", Journal of Rheology, 27(3), pp.201~210 (1983)
  21. N. Engheta, "On fractional calculus and fractional multipoles in electromagnetism", IEEE Trans, 44(4), pp.554~566 (1996)
  22. R. Hilfer, "Application of Fractional Calculus in Physics", pp.699~707 (2000), World Scienti…c
  23. F. Mainardi, "Fractals and Fractional Calculus in Continuum Mechanics" (1997), Springer
  24. R. Magin, "Fractional calculus in bioengineering", Crit. Rev. Biom. Eng, 32(1), pp.1~104 (2004)
  25. K. Nishimoto, "Fractional Calculus and its Applications", pp.1990
  26. K.B. Oldham, "Fractional Di¤erential Equations in Electrochemistry", Advances in Engineering Software (2009)

이 간행물의 다른 논문 (13건)