The Riemann-Stieltjes integral on time scales
Dorota Mozyrska, Ewa Pawluszewicz, Delfim F. M. Torres
TL;DR
This paper explores the Riemann-Stieltjes integral within the framework of time scales, establishing classical properties and providing examples to unify continuous and discrete integration theories.
Contribution
It introduces a generalized Riemann-Stieltjes integral on arbitrary time scales, extending classical results to a unified setting.
Findings
Proved classical properties of Riemann-Stieltjes integral on time scales
Provided examples illustrating the theory on different time scales
Unified continuous and discrete integration approaches
Abstract
We study the process of integration on time scales in the sense of Riemann-Stieltjes. Analogues of the classical properties are proved for a generic time scale, and examples are given.
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Taxonomy
TopicsNonlinear Differential Equations Analysis · Fractional Differential Equations Solutions · Numerical methods for differential equations