|
|
|
|
Solutions for impulsive fractional differential equations via variational methods
|
|
|
|
|
|
|
|
نویسنده
|
li p. ,wang h. ,li z.
|
|
منبع
|
journal of function spaces - 2016 - دوره : 2016 - شماره : 0
|
|
چکیده
|
We investigate the boundary value problems of impulsive fractional order differential equations. first,we obtain the existence of at least one solution by the minimization result of mawhin and willem. then by the variational methods and a very recent critical points theorem of bonanno and marano,the existence results of at least triple solutions are established. at last,two examples are offered to demonstrate the application of our main results. © 2016 peiluan li et al.
|
|
|
|
|
آدرس
|
school of mathematics and statistics,henan university of science and technology,luoyang, China, college of information engineering,henan university of science and technology,luoyang, China, network and information center,henan university of science and technology,luoyang, China
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
Authors
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|
|