New Existence Results for Higher-Order Nonlinear Fractional Differential Equation with Integral Boundary Conditions
By Meiqiang Feng, Xuemei Zhang, Weigao Ge. 2010
131 citations recorded by the source corpus.
This paper investigates the existence and multiplicity of positive solutions for a class of higher-order nonlinear fractional differential equations with integral boundary conditions. The results are established by converting the problem into an equivalent integral equation and applying Krasnoselskii's fixed-point theorem in cones. The nonexistence of positive solutions is also studied.
Subfields: Applied Mathematics, Modeling and Simulation, Numerical Analysis
View Paper: https://www.semanticscholar.org/paper/4148757d95ab306bccfb97669ee16543ad557cb4
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In Applied Mathematics
In Modeling and Simulation
In Numerical Analysis
Citations in the corpus
- Positive solutions for boundary value problem of fractional differential equation with p-Laplacian operator (2012, background): “For some recent contributions on fractional differential equations, see for example, [10-28] and the references therein.”
- Existence and uniqueness of solutions for a fractional boundary value problem on a graph (2014, unknown): “Many results on the existence, uniqueness, multiplicity, and nonexistence of solutions for fractional differential equations subject to various boundary conditions (BCs) have been obtained; see for example [1, 2, 4, 7, 8, 11, 12, 13, 14, 15, 16, 17, 19, 20, 25, 26, 27].”