Abstract
Here we present the Nabla Fractional Calculus on Time Scales. Then we prove related integral inequalities of types: Poincaré, Sobolev, Opial, Ostrowski and Hilbert-Pachpatte. At the end we give inequalities applications on the time scales ℝ, ℤ. This chapter relies on [53].
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© 2011 Springer-Verlag Berlin Heidelberg
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Anastassiou, G.A. (2011). Principles of Nabla Fractional Calculus on Time Scales with Inequalities. In: Intelligent Mathematics: Computational Analysis. Intelligent Systems Reference Library, vol 5. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-17098-0_43
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DOI: https://doi.org/10.1007/978-3-642-17098-0_43
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-17097-3
Online ISBN: 978-3-642-17098-0
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