Results in Mathematics

, Volume 41, Issue 3–4, pp 197–212 | Cite as

Fractional Opial Type Inequalities and Fractional Differential Equations

  • George A. Anastassiou
  • Jerome A. Goldstein


A set of very general Opial type inequalities ([7]) is established involving fractional derivatives of different orders. These are based on Taylor’s formula for fractional derivatives. These results are applied in proving uniqueness to the solutions of very general fractional initial value problems of fractional ordinary differential equations.


Opial type inequality fractional derivative fractional differential equation uniqueness of solution 

1991 Mathematics Subject Classification

26A33 26D10 26D15 


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Copyright information

© birkhäuser verlag, basel 2002

Authors and Affiliations

  1. 1.Department of Mathematical SciencesUniversity of MemphisMemphisUSA

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