Nontrivial solutions for a higher fractional differential equation with fractional multi-point boundary conditions
DOI10.1186/1687-2770-2012-70zbMath1279.34008OpenAlexW2130123170WikidataQ59290175 ScholiaQ59290175MaRDI QIDQ377694
Xuemai Gu, Min Jia, Xin Guang Zhang
Publication date: 7 November 2013
Published in: Boundary Value Problems (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/1687-2770-2012-70
nontrivial solutionGreen functionfractional differential equationLeray-Schauder nonlinear alternative
Nonlinear boundary value problems for ordinary differential equations (34B15) Green's functions for ordinary differential equations (34B27) Applications of operator theory to differential and integral equations (47N20) Nonlocal and multipoint boundary value problems for ordinary differential equations (34B10) Fractional ordinary differential equations (34A08)
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Cites Work
- Existence and uniqueness of positive solutions for higher order nonlocal fractional differential equations
- The eigenvalue problem for a singular higher order fractional differential equation involving fractional derivatives
- Existence and uniqueness of solutions to a fractional difference equation with nonlocal conditions
- Positive solutions to boundary value problems with nonlinear boundary conditions
- Existence of a positive solution to systems of differential equations of fractional order
- Positive solutions to singular boundary value problem for nonlinear fractional differential equation
- Existence and uniqueness of solutions for multi-point boundary value problems for fractional differential equations
- Existence of a positive solution to a class of fractional differential equations
- On the fractional order \(m\)-point boundary value problem in reflexive Banach spaces and weak topologies
- On positive solutions of a nonlocal fractional boundary value problem
- Multiple positive solutions of a singular fractional differential equation with negatively perturbed term