数学物理学报(英文版) ›› 2016, Vol. 36 ›› Issue (5): 1317-1330.doi: 10.1016/S0252-9602(16)30071-6

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FRACTIONAL INTEGRAL INEQUALITIES AND THEIR APPLICATIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS

Yaghoub JALILIAN   

  1. Department of Mathematics, Razi University, Kermanshah, Iran
  • 收稿日期:2015-06-15 修回日期:2015-11-18 出版日期:2016-10-25 发布日期:2016-10-25
  • 作者简介:Yaghoub JALILIAN,y.jalilian@razi.ac.ir

FRACTIONAL INTEGRAL INEQUALITIES AND THEIR APPLICATIONS TO FRACTIONAL DIFFERENTIAL EQUATIONS

Yaghoub JALILIAN   

  1. Department of Mathematics, Razi University, Kermanshah, Iran
  • Received:2015-06-15 Revised:2015-11-18 Online:2016-10-25 Published:2016-10-25

摘要:

In this paper, first we obtain some new fractional integral inequalities. Then using these inequalities and fixed point theorems, we prove the existence of solutions for two different classes of functional fractional differential equations.

关键词: fractional integral inequality, existence of solution, Caputo fractional derivative, fractional differential equation, fixed point

Abstract:

In this paper, first we obtain some new fractional integral inequalities. Then using these inequalities and fixed point theorems, we prove the existence of solutions for two different classes of functional fractional differential equations.

Key words: fractional integral inequality, existence of solution, Caputo fractional derivative, fractional differential equation, fixed point

中图分类号: 

  • 34A80