A Novel Conformable Fractional Nonlinear Grey Bernoulli Model and Its Application
The fractional nonlinear grey Bernoulli model, abbreviated as FANGBM(1,1), is a successful extension of NGBM(1,1). Although FANGBM(1,1) has numerous excellent characteristics, it has a more complex form of fractional accumulation (FA) operator than raw NGBM(1,1). In this study, we propose a novel fr...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2020/9178098 |
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| _version_ | 1832555066384449536 |
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| author | Wanli Xie Guixian Yu |
| author_facet | Wanli Xie Guixian Yu |
| author_sort | Wanli Xie |
| collection | DOAJ |
| description | The fractional nonlinear grey Bernoulli model, abbreviated as FANGBM(1,1), is a successful extension of NGBM(1,1). Although FANGBM(1,1) has numerous excellent characteristics, it has a more complex form of fractional accumulation (FA) operator than raw NGBM(1,1). In this study, we propose a novel fractional nonlinear grey Bernoulli model, named CFNGBM(1,1), which uses conformable fractional accumulation (CFA), which has a simpler form than FANGBM. Using two practical cases, the effectiveness of the proposed CFNGBM(1,1) in practical applications was illustrated. Results show that the CFNGBM(1,1) exhibited higher accuracy than other grey models, thus facilitating its promotion in engineering practices. |
| format | Article |
| id | doaj-art-af056e6058944eebb20e71a07cc11f18 |
| institution | Kabale University |
| issn | 1076-2787 1099-0526 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-af056e6058944eebb20e71a07cc11f182025-02-03T05:49:38ZengWileyComplexity1076-27871099-05262020-01-01202010.1155/2020/91780989178098A Novel Conformable Fractional Nonlinear Grey Bernoulli Model and Its ApplicationWanli Xie0Guixian Yu1Institute of EduInfo Science and Engineering, Nanjing Normal University, Nanjing, Jiangsu 210097, ChinaSchool of Software & Microelectronics, Peking University, Beijing 100741, ChinaThe fractional nonlinear grey Bernoulli model, abbreviated as FANGBM(1,1), is a successful extension of NGBM(1,1). Although FANGBM(1,1) has numerous excellent characteristics, it has a more complex form of fractional accumulation (FA) operator than raw NGBM(1,1). In this study, we propose a novel fractional nonlinear grey Bernoulli model, named CFNGBM(1,1), which uses conformable fractional accumulation (CFA), which has a simpler form than FANGBM. Using two practical cases, the effectiveness of the proposed CFNGBM(1,1) in practical applications was illustrated. Results show that the CFNGBM(1,1) exhibited higher accuracy than other grey models, thus facilitating its promotion in engineering practices.http://dx.doi.org/10.1155/2020/9178098 |
| spellingShingle | Wanli Xie Guixian Yu A Novel Conformable Fractional Nonlinear Grey Bernoulli Model and Its Application Complexity |
| title | A Novel Conformable Fractional Nonlinear Grey Bernoulli Model and Its Application |
| title_full | A Novel Conformable Fractional Nonlinear Grey Bernoulli Model and Its Application |
| title_fullStr | A Novel Conformable Fractional Nonlinear Grey Bernoulli Model and Its Application |
| title_full_unstemmed | A Novel Conformable Fractional Nonlinear Grey Bernoulli Model and Its Application |
| title_short | A Novel Conformable Fractional Nonlinear Grey Bernoulli Model and Its Application |
| title_sort | novel conformable fractional nonlinear grey bernoulli model and its application |
| url | http://dx.doi.org/10.1155/2020/9178098 |
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