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Existence of Solutions for Infinity-Point Nonlinear Fractional Boundary Value Problem at Resonance

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【Author】 LIU Rui-juan;JIN Ran;School of Fundamental Studies,Shanghai University of Engineering Science;College of Information Science and Technology,Donghua University;

【机构】 School of Fundamental Studies,Shanghai University of Engineering Science； College of Information Science and Technology,Donghua University；

【摘要】 A class of the boundary value problem for fractional order nonlinear differential equation with Riemann-Liouville fractional derivative on the half line was studied. By using the coincidence degree theory due to Mawhin and constructing the suitable operators,the existence theorem of at least one solution has been established. An example is given to illustrate our result.更多还原

【Abstract】 A class of the boundary value problem for fractional order nonlinear differential equation with Riemann-Liouville fractional derivative on the half line was studied. By using the coincidence degree theory due to Mawhin and constructing the suitable operators,the existence theorem of at least one solution has been established. An example is given to illustrate our result.更多还原

【关键词】 fractional differential equation； infinity-point boundary value problem； coincidence degree theorem； resonance； half line；
【Key words】 fractional differential equation； infinity-point boundary value problem； coincidence degree theorem； resonance； half line；

【基金】 National Natural Science Foundation of China(No.11271248)

【文献出处】 Journal of Donghua University(English Edition) ,东华大学学报(英文版) , 编辑部邮箱 ,2015年04期

【分类号】O175.8
【被引频次】1
【下载频次】17

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