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Hongbin Xie

Downloads: 50 Citations: 0 Articles: 1

Publication Fields

Information Sciences

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Article type

Research Article (1)

Year

2025 (1)

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Zengtai Gong (1)

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Open Access Research Article Issue

Pseudo-Stieltjes calculus:

α -

pseudo-differentiability, the pseudo-Stieltjes integrability and applications

Caiqin Wang, Hongbin Xie, Zengtai Gong

Electronic Research Archive 2024, 32(11): 6467-6480

Published: 27 November 2024

Abstract

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Downloads：50

In this paper, the concepts of the $α -$ pseudo-differentiability and the pseudo-Stieltjes integrability are proposed, and the corresponding transformation theorems and Newton–Leibniz formula are established. The obtained results provide a framework for analyzing nonlinear differential equations.

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