Acta mathematica scientia,Series B ›› 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
  • Received:2015-06-15 Revised:2015-11-18 Online:2016-10-25 Published:2016-10-25

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

CLC Number: 

  • 34A80
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