Existence and uniqueness of positive solutions for a class of nonlinear fractional differential equations
Autor: | Hui-Min Tian, Lingling Zhang |
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Rok vydání: | 2017 |
Předmět: |
Equilibrium point
Algebra and Number Theory Differential equation lcsh:Mathematics Applied Mathematics 010102 general mathematics Mathematical analysis First-order partial differential equation fixed point theorem fractional differential equations lcsh:QA1-939 01 natural sciences 010101 applied mathematics Examples of differential equations Stochastic partial differential equation Nonlinear system mixed monotone operator positive solution Ordinary differential equation Uniqueness 0101 mathematics Analysis Mathematics |
Zdroj: | Advances in Difference Equations, Vol 2017, Iss 1, Pp 1-19 (2017) |
ISSN: | 1687-1847 |
Popis: | In the article, the existence and uniqueness of positive solutions for a class of fractional differential equation with nonlinear boundary conditions are discussed. By applying some fixed point theorems on cone, we gain a unique positive solution and construct two iterative sequences to approximate the solution. Moreover, as applications of our main results, some examples are also presented. |
Databáze: | OpenAIRE |
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