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EXISTENCE OF POSITIVE SOLUTIONS FOR FRACTIONAL DIFFERENTIAL EQUATIONS WITH A SINGULAR WEIGHT
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초록
In this work, we study the existence of a positive solution for nonlinear fractional differential equation with a singular weight. For the proof, we introduce newly defined solution operator and use well-known Krasnoselski's fixed point theorem. We also give an example with a singular weight which may not be integrable.
Abstract
In this work, we study the existence of a positive solution for nonlinear fractional differential equation with a singular weight. For the proof, we introduce newly defined solution operator and use well-known Krasnoselski's fixed point theorem. We also give an example with a singular weight which may not be integrable.
참고문헌 (3)
- D. Jiang, "The positive properties of the Green function for Dirichlet-type boundary value problems of nonlinear fractional differential equations and its application", Nonlinear Anal, 72, pp.710~719 (2010)
- D. J. Guo, "Nonlinear problems in abstract cones" (1988), Academic Press, Inc.
- S. G. Samko, "Fractional Integral And Derivatives (Theory and Applications)" (1993), Gordon and Breach
관련 논문AI추천
EXISTENCE OF POSITIVE SOLUTIONS FOR EIGENVALUE PROBLEMS OF SINGULAR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS이용훈, 이진실영남수학회 · East Asian Mathematical Journal2017 · 제33권 제3호Multiple 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 제2호POSITIVE SOLUTIONS OF MULTI-POINT BOUNDARY VALUE PROBLEMS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATION AT RESONANCEAijun Yang, Weigao Ge한국수학교육학회 · 이론수학과 교직수학2009 · 제16권 제2호EXISTENCE AND NONEXISTENCE OF POSITIVE SOLUTIONS TO NONLOCAL BOUNDARY VALUE PROBLEMS WITH STRONG SINGULARITY김찬균영남수학회 · East Asian Mathematical Journal2023 · 제39권 제1호Existence and Uniqueness of Positive Solutions for a Class of Fractional Differential Equations with a ParameterMartin Bohner, Pengcheng Yuan, Zhaocai Hao강원경기수학회 · 한국수학논문집2025 · 제33권 제4호Boundary value problems for differential equations of non-integer order involving Caputo fractional derivativeD.B.Dhaigude, J.A.Nanware장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제3호
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