Acta mathematica scientia, Series B >
NEW EXISTENCE RESULTS OF POSITIVE SOLUTION FOR A CLASS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS
Received date: 2012-02-06
Online published: 2013-05-20
Supported by
This work is supported by Science and Technology Project of Chongqing Municipal Education Committee (kJ110501) of China, Natural Science Foundation Project of CQ CSTC (cstc2012jjA20016) of China, and National Natural Science Foundation of China (11101298).
In this article, the existence and uniqueness of positive solution for a class of nonlinear fractional differential equations is proved by constructing the upper and lower control functions of the nonlinear term without any monotone requirement. Our main method to the problem is the method of upper and lower solutions and Schauder fixed point theorem. Finally, we give an example to illuminate our results.
LI Nan , WANG Chang-You . NEW EXISTENCE RESULTS OF POSITIVE SOLUTION FOR A CLASS OF NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS[J]. Acta mathematica scientia, Series B, 2013 , 33(3) : 847 -854 . DOI: 10.1016/S0252-9602(13)60044-2
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