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
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
Journal title :
Computers and Mathematics with Applications