Pseudo-Stieltjes calculus: $ \alpha- $pseudo-differentiability, the pseudo-Stieltjes integrability and applications
In this paper, the concepts of the $ \alpha- $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 equation...
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| Format: | Article |
| Language: | English |
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AIMS Press
2024-11-01
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| Series: | Electronic Research Archive |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2024302 |
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| _version_ | 1832590751538610176 |
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| author | Caiqin Wang Hongbin Xie Zengtai Gong |
| author_facet | Caiqin Wang Hongbin Xie Zengtai Gong |
| author_sort | Caiqin Wang |
| collection | DOAJ |
| description | In this paper, the concepts of the $ \alpha- $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. |
| format | Article |
| id | doaj-art-749c4bbc4bd54792ae6fd8203cba5492 |
| institution | Kabale University |
| issn | 2688-1594 |
| language | English |
| publishDate | 2024-11-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj-art-749c4bbc4bd54792ae6fd8203cba54922025-01-23T07:53:01ZengAIMS PressElectronic Research Archive2688-15942024-11-0132116467648010.3934/era.2024302Pseudo-Stieltjes calculus: $ \alpha- $pseudo-differentiability, the pseudo-Stieltjes integrability and applicationsCaiqin Wang0Hongbin Xie1Zengtai Gong2Basic Course Teaching Department, Gansu Institute of Mechanical and Electrical Engineering, Tianshui 741001, ChinaBasic Course Teaching Department, Gansu Institute of Mechanical and Electrical Engineering, Tianshui 741001, ChinaCollege of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, ChinaIn this paper, the concepts of the $ \alpha- $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.https://www.aimspress.com/article/doi/10.3934/era.2024302pseudo-analysispseudo-differentiabilitypseudo-stieltjes integrability |
| spellingShingle | Caiqin Wang Hongbin Xie Zengtai Gong Pseudo-Stieltjes calculus: $ \alpha- $pseudo-differentiability, the pseudo-Stieltjes integrability and applications Electronic Research Archive pseudo-analysis pseudo-differentiability pseudo-stieltjes integrability |
| title | Pseudo-Stieltjes calculus: $ \alpha- $pseudo-differentiability, the pseudo-Stieltjes integrability and applications |
| title_full | Pseudo-Stieltjes calculus: $ \alpha- $pseudo-differentiability, the pseudo-Stieltjes integrability and applications |
| title_fullStr | Pseudo-Stieltjes calculus: $ \alpha- $pseudo-differentiability, the pseudo-Stieltjes integrability and applications |
| title_full_unstemmed | Pseudo-Stieltjes calculus: $ \alpha- $pseudo-differentiability, the pseudo-Stieltjes integrability and applications |
| title_short | Pseudo-Stieltjes calculus: $ \alpha- $pseudo-differentiability, the pseudo-Stieltjes integrability and applications |
| title_sort | pseudo stieltjes calculus alpha pseudo differentiability the pseudo stieltjes integrability and applications |
| topic | pseudo-analysis pseudo-differentiability pseudo-stieltjes integrability |
| url | https://www.aimspress.com/article/doi/10.3934/era.2024302 |
| work_keys_str_mv | AT caiqinwang pseudostieltjescalculusalphapseudodifferentiabilitythepseudostieltjesintegrabilityandapplications AT hongbinxie pseudostieltjescalculusalphapseudodifferentiabilitythepseudostieltjesintegrabilityandapplications AT zengtaigong pseudostieltjescalculusalphapseudodifferentiabilitythepseudostieltjesintegrabilityandapplications |