본문 바로가기
KERD
논문KCI 등재

Multiple Unbounded Positive Solutions for the Boundary Value Problems of the Singular Fractional Differential Equations

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this article, we establish the existence of at least three unbounded positive solutions to a boundary-value problem of the nonlinear singular fractional differential equation. Our analysis relies on the well known fixed point theorems in the cones

Abstract

In this article, we establish the existence of at least three unbounded positive solutions to a boundary-value problem of the nonlinear singular fractional differential equation. Our analysis relies on the well known fixed point theorems in the cones

참고문헌 (13)

  1. R. P. Agarwal, "A survey on existence results for boundary value problems of nonlinear fractional differential equations and inclusions", Acta Appl Math, 109, pp.973~1033 (2011)
  2. A. Arara, "Fractional order differential equations on an unbounded domain", Nonlinear Analysis TMA, 72, pp.580~586 (2010)
  3. Z. Bai, "On positive solutions of a nonlocal fractional boundary value problem", Nonlinear Analysis, 72, pp.916~924 (2010)
  4. R. Dehghant, "Triple positive solutions for boundary value problem of a nonlinear fractional differential equation", Bulletin of the Iranian Mathematical Society, 33, pp.1~14 (2007)
  5. A. A. Kilbas, "Differential equations of fractional order: methods, results and problems-I", Applicable Analysis, 78, pp.153~192 (2001)
  6. R. W. Leggett, "Multiple positive fixed points of nonlinear operators on ordered Banach spaces", Indiana University Mathematics Journal, 28, pp.673~688 (1979)
  7. Y. Liu, "Positive solutions for singular FDES", U.P.B. Sci. Series A, 73, pp.89~100 (2011)
  8. K. S. Miller, "An Introduction to the Fractional Calculus and Fractional Differential Equation" (1993), Wiley
  9. S. Z. Rida, "On the solution of the fractional nonlinear Schrodinger equation", Physics Letters A, 372, pp.553~558 (2008)
  10. S. G. Samko, "Fractional Integral and Derivative. Theory and Applications" (1993), Gordon and Breach
  11. X. Xu, "Multiple positive solutions for the boundary value problem of a nonlinear fractional differential equation", Nonlinear Analysis TMA, 71, pp.4676~4688 (2009)
  12. F. Zhang, "Existence results of positive solutions to boundary value problem for fractional differential equation", Positiviyt, 13, pp.583~599 (2008)
  13. S. Q. Zhang, "The existence of a positive solution for a nonlinear fractional differential equation", J. Math. Anal. Appl., 252, pp.804~812 (2000)

관련 논문AI추천

이 간행물의 다른 논문 (11건)