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EXISTENCE OF ANTI-PERIODIC MILD SOLUTIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS OF ORDER α∈(0,1)

EXISTENCE OF ANTI-PERIODIC MILD SOLUTIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS OF ORDER α ∈(0,1)
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摘要 In this paper, by Schauder’s fxed point theorem and the contraction mapping principle, we consider the existence and stability of T-anti-periodic solutions to fractional diferential equations of order α∈(0,1). An example is given to illustrate the main results. In this paper, by Schauder’s fxed point theorem and the contraction mapping principle, we consider the existence and stability of T-anti-periodic solutions to fractional diferential equations of order α∈(0,1). An example is given to illustrate the main results.
出处 《Annals of Differential Equations》 2013年第3期346-355,共10页 微分方程年刊(英文版)
基金 supported by the Key Foundation of Anhui Education Bureau(KJ2012A019,KJ2013A028) Anhui Provincial Natural Science Foundation(1208085MA13,1308085MA01,1308085QA15) the Research Fund for the Doctoral Program of Higher Education(20103401120002,20113401120001) 211 Project of Anhui University(02303129,02303303-33030011,0230390239020011,KYXL2012004,XJYJXKC04) NNSF of China(11226247,11271371)
关键词 fractional diferential equations T-anti-periodic existence and stability fxed point theorems fractional diferential equations T-anti-periodic existence and stability fxed point theorems
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