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EXISTENCE OF POSITIVE SOLUTIONS FOR EIGENVALUE PROBLEMS OF SINGULAR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS

이진실|이용훈
영남수학회 (Youngnam Mathematical Society)|2017.05|East Asian Mathematical Journal|제33권 제3호|pp. 323-331

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참고문헌

키워드

eigenvalue problempositive solutionfractional differential equationsingular weightexistence of solution
주제분류수학

초록

In this paper, we consider the existence of positive solutions for eigenvalue problems of nonlinear fractional differential equations with singular weights. We give various conditions on f and apply Krasnosel- skii’s Cone Fixed Point Theorem. As a result, we obtain several existence and nonexistence results corresponding to λ in certain intervals.

Abstract

In this paper, we consider the existence of positive solutions for eigenvalue problems of nonlinear fractional differential equations with singular weights. We give various conditions on f and apply Krasnosel- skii’s Cone Fixed Point Theorem. As a result, we obtain several existence and nonexistence results corresponding to λ in certain intervals.

참고문헌 (5)

  1. Tom Kisela, "Fractional Differential Equations and Their Applications", Fakulta strojnho inenrstv, pp.2008
  2. Daqing Jiang, "The positive properties of the Green function for Dirichlet-type boundary value problems of nonlinear fractional di erential equations and its application", Nonlinear Anal. T.M.A, 72, pp.710~719 (2010)
  3. Xiaoling Han, "Existence of positive solutions for eigenvalue problem of nonlinear fractional di erential equations", Adv. Di erence Equ, 2012(66), pp.1~8 (2012)
  4. Zhanbing Bai, "Positive solutions for boundary value problem of non-linear fractional di erential equation", J. Math. Anal. Appl, 311, pp.495~505 (2005)
  5. Jinsil Lee, "An existence result for nonlinear singular fractional di erential equations"

관련 논문AI추천

EXISTENCE OF POSITIVE SOLUTIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH A SINGULAR WEIGHT이용훈, 정정미영남수학회 · East Asian Mathematical Journal2024 · 제40권 제1호Multiple Unbounded Positive Solutions for the Boundary Value Problems of the Singular Fractional Differential EquationsHaiping Shi, Xingyuan Liu, Yuji Liu경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2013 · 제53권 제2호EXISTENCE AND NONEXISTENCE OF POSITIVE SOLUTIONS TO NONLOCAL BOUNDARY VALUE PROBLEMS WITH STRONG SINGULARITY김찬균영남수학회 · East Asian Mathematical Journal2023 · 제39권 제1호POSITIVE SOLUTIONS OF MULTI-POINT BOUNDARY VALUE PROBLEMS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION AT RESONANCEAijun Yang, Weigao Ge한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제2호NONTRIVIAL SOLUTIONS FOR BOUNDARY-VALUE PROBLEMS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONSYingxin Guo대한수학회 · 대한수학회보2010 · 제47권 제1호Existence and Uniqueness of Positive Solutions for a Class of Fractional Differential Equations with a ParameterMartin Bohner, Pengcheng Yuan, Zhaocai Hao강원경기수학회 · 한국수학논문집2025 · 제33권 제4호

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