δ calculus and generalized exponential function on time scales

Abstract This paper aims to develop δ calculus on time scales. First of all, the central difference derivative ( δ derivative) and δ integral on a time scale are defined, and some fundamental properties are expounded. Secondly, the generalized exponential function and its theorems on a time scale are studied.

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Publication Details

Journal
Journal of Physics Conference Series
Published
2025-02-01
DOI
https://doi.org/10.1088/1742-6596/2964/1/012039
Primary Topic
Nonlinear Differential Equations Analysis
Type
article
Field-Weighted Citation Impact
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article

δ calculus and generalized exponential function on time scales

Yurong Tang, Xin Li
Journal of Physics Conference Series
Nonlinear Differential Equations Analysis
article

δ calculus and generalized exponential function on time scales

Yurong Tang, Xin Li
article en

Abstract

Abstract This paper aims to develop δ calculus on time scales. First of all, the central difference derivative ( δ derivative) and δ integral on a time scale are defined, and some fundamental properties are expounded. Secondly, the generalized exponential function and its theorems on a time scale are studied.

Journal of Physics Conference SeriesVol. 2964(1)
Minzu University of China (CN), Lanzhou University (CN)
Openalex Percentile: Top 94%
Nonlinear Differential Equations Analysis
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