Title of article :
Foundations of nabla fractional calculus on time scales and inequalities
Author/Authors :
George A. Anastassiou، نويسنده ,
Issue Information :
دوهفته نامه با شماره پیاپی سال 2010
Pages :
13
From page :
3750
To page :
3762
Abstract :
Here we develop the nabla fractional calculus on time scales. Then we produce related integral inequalities of types: Poincaré, Sobolev, Opial, Ostrowski and Hilbert Pachpatte. Finally we give inequality applications on the time scales R, Z.
Keywords :
Fractional calculus on time scales , Nabla Poincaré inequality , Nabla Opial inequalities , Nabla Ostrowski inequality , Fractional inequalities , Nabla Hilbert–Pachpatte inequality , Nabla Sobolev inequality
Journal title :
Computers and Mathematics with Applications
Serial Year :
2010
Journal title :
Computers and Mathematics with Applications
Record number :
921505
Link To Document :
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