Solvability of multi-point boundary value problem of nonlinear impulsive fractional differential equation at resonance

نویسنده

  • Chuanzhi Bai
چکیده

Differential equation with fractional order have recently proved valuable tools in the modeling of many phenomena in various fields of science and engineering [1-5]. Recently, many researchers paid attention to existence result of solution of the boundary value problems for fractional differential equations at nonresonance, see for examples [6-15]. But, there are few papers which consider the boundary value problem at resonance for nonlinear ordinary differential equations of fractional order. In [16], N. Kosmatov studied the boundary value problems of fractional differential equations at resonance with dimKerL = 1. More recently, Jiang [17] investigated the existence of solutions for the fractional differential equation at resonance with dimKerL = 2 :

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تاریخ انتشار 2011