ANTI-PERIODIC TYPE BOUNDARY VALUE PROBLEMS FOR SINGULAR MULTI-TERM FRACTIONAL DIFFERENTIAL EQUATIONS WITH IMPULSE EFFECTS

被引:0
作者
Liu, Yuji [1 ]
机构
[1] Guangdong Univ Business Studies, Dept Math, Guangzhou 510320, Guangdong, Peoples R China
关键词
Solution; singular multi-term fractional differential equation; impulse; anti-periodic type boundary value problem; fixed point theorem; EXISTENCE;
D O I
10.1142/S0129167X1350047X
中图分类号
O1 [数学];
学科分类号
0701 ; 070101 ;
摘要
Results on the existence of solutions of anti-periodic type boundary value problems for singular multi-term fractional differential equations with impulse effects are established. We first transform the problem into a hybrid system, then construct a weighted Banach space and a completely continuous operator, and finally, we use the fixed point theorem in the Banach space to prove the main results. An example is given to illustrate the efficiency of the main theorems.
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页数:27
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