Affiliation:
1. Faculty of Economics and Administrative Sciences , Mardin Artuklu University , Mardin , Turkey
Abstract
Abstract
The concept of inequalities in time scales has attracted the attention of mathematicians for a quarter century. And these studies have inspired the solution of many problems in the branches of physics, biology, mechanics and economics etc. In this article, new principles of non-linear integral inequalities are presented in time scales via diamond-α dynamic integral and the nabla integral.
Subject
Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science
Reference30 articles.
1. S. Hilger, Ein Maßkettenkalkül mit Anwendung auf Zentrmsmannigfaltingkeiten, Ph.D. Thesis, Univarsi. Würzburg, 1988.
2. R.P. Agarwal, M. Bohner, A. Peterson, Inequalities on time scales: A survey. Math. Inequal. Appl., 2001, 4, 535–555. https://doi.org/10.7153/mia-04-48
3. E. Akin-Bohner, M. Bohner, F. Akin, Pachpatte inequalities on time scales. Journal of Inequalities in Pure and Applied Mathematics. 2005, 6(1), 1–23
4. W.N. Li, Nonlinear Integral Inequalities in Two Independent Variables on Time Scales. Adv Differ Equ. 2011, 283926. doi:10.1155/2011/283926
5. G.A. Anastassiou, Principles of delta fractional calculus on time scales and inequalities. Mathematical and Computer Modelling. 2010, 52, 556–566. https://doi.org/10.1016/j.mcm.2010.03.055
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