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.
Highlights
The theory of time scales has played an important role in the representation of differential calculus and integral inequalities
The concept of time scales was introduced by Stefan Hilger in 1988 [1]
Integral inequalities and dynamic equations are the cornerstones of both time scales and harmonic analysis
Summary
The theory of time scales has played an important role in the representation of differential calculus and integral inequalities. The concept of time scales was introduced by Stefan Hilger in 1988 [1] Later, this theory was studied by many authors. This theory was studied by many authors They have demonstrated various aspects of integral inequalities [2,3,4,5,6,7,8,9,10,11,12,13]. The most important examples of time scale studies are differential calculus and inequalities [12]. Li Yin and Feng Qi [24] have introduced some non-linear integral inequalities under certain conditions.
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