FRONTIERS IN TIME SCALES AND INEQUALITIES

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Focusing on discrete and fractional analysis, this monograph presents innovative concepts in right delta and right nabla fractional calculus on time scales. It explores representation formulas, various inequalities such as Ostrowski and Grüss types, and their implications in time scales. The work delves into integral operator inequalities using function convexity, examines s-convexity, and discusses the general case with multiple functions. Additionally, it introduces fractional Hermite-Hadamard type inequalities and the reduction method in fractional calculus, highlighting its relationship with fractional Ostrowski inequalities.