Title of article :
Principles of delta fractional calculus on time scales and inequalities
Author/Authors :
Anastassiou، نويسنده , , George A.، نويسنده ,
Issue Information :
روزنامه با شماره پیاپی سال 2010
Abstract :
Here we develop the Delta Fractional Calculus on Time Scales. Then we produce related integral inequalities of types: Poincaré, Sobolev, Opial, Ostrowski and Hilbert–Pachpatte. Finally, we give inequalities’ applications on the time scale R .
Keywords :
Fractional calculus on time scales , Delta Poincaré inequality , Delta Sobolev inequality , Delta Opial inequality , Delta Ostrowski inequality , Delta Hilbert–Pachpatte inequality
Journal title :
Mathematical and Computer Modelling
Journal title :
Mathematical and Computer Modelling