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| Format: | Artículo científico |
| Language: | en |
| Published: |
Vilniaus Universitetas
2022
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| Online Access: | https://www.redalyc.org/articulo.oa?id=694173183003 https://www.redalyc.org/journal/6941/694173183003/ https://www.redalyc.org/journal/6941/694173183003/html/ https://www.redalyc.org/journal/6941/694173183003/694173183003.epub https://www.redalyc.org/journal/6941/694173183003/movil https://doi.org/10.15388/namc.2022.27.26623 |
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| _version_ | 1866816401146118144 |
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| author | Wei Yiheng |
| author_facet | Wei Yiheng |
| contents | How to empower Grünwald–Letnikov fractional difference equations with available initial condition?* Wei Yiheng Caoa Jinde Lic Chuang Chend Yangquan Matemáticas Grünwald independence initial condition dynamic properties Fractional calculus In this paper, the initial condition independence property of Grünwald–Letnikov fractional difference is revealed for the first time. For example, the solution org.siir.client.entities.InlineGraphic@795526 of equation,org.siir.client.entities.InlineGraphic@b1de0a cannot be calculated with initial condition org.siir.client.entities.InlineGraphic@c9e614. First, theinitial condition independence property is carefully investigated in both time domain and frequencydomain. Afterwards, some possible schemes are formulated to make the considered system connectto initial condition. Armed with this information, the concerned property is examined on threemodified Grünwald–Letnikov definitions. Finally, results from illustrative examples demonstratethat the developed schemes are sharp. 2022 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694173183003 https://www.redalyc.org/journal/6941/694173183003/ https://www.redalyc.org/journal/6941/694173183003/html/ https://www.redalyc.org/journal/6941/694173183003/694173183003.epub https://www.redalyc.org/journal/6941/694173183003/movil https://doi.org/10.15388/namc.2022.27.26623 en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.4 Vol.27 |
| format | Artículo científico |
| id | redalyc_694173183003 |
| language | en |
| publishDate | 2022 |
| publisher | Vilniaus Universitetas |
| spellingShingle | How to empower Grünwald–Letnikov fractional difference equations with available initial condition?* Wei Yiheng Matemáticas Grünwald independence initial condition dynamic properties Fractional calculus How to empower Grünwald–Letnikov fractional difference equations with available initial condition?* Wei Yiheng Caoa Jinde Lic Chuang Chend Yangquan Matemáticas Grünwald independence initial condition dynamic properties Fractional calculus In this paper, the initial condition independence property of Grünwald–Letnikov fractional difference is revealed for the first time. For example, the solution org.siir.client.entities.InlineGraphic@795526 of equation,org.siir.client.entities.InlineGraphic@b1de0a cannot be calculated with initial condition org.siir.client.entities.InlineGraphic@c9e614. First, theinitial condition independence property is carefully investigated in both time domain and frequencydomain. Afterwards, some possible schemes are formulated to make the considered system connectto initial condition. Armed with this information, the concerned property is examined on threemodified Grünwald–Letnikov definitions. Finally, results from illustrative examples demonstratethat the developed schemes are sharp. 2022 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694173183003 https://www.redalyc.org/journal/6941/694173183003/ https://www.redalyc.org/journal/6941/694173183003/html/ https://www.redalyc.org/journal/6941/694173183003/694173183003.epub https://www.redalyc.org/journal/6941/694173183003/movil https://doi.org/10.15388/namc.2022.27.26623 en http://www.redalyc.org/revista.oa?id=6941 Nonlinear Analysis: Modelling and Control application/pdf Vilniaus Universitetas Nonlinear Analysis: Modelling and Control (Lituania) Num.4 Vol.27 |
| title | How to empower Grünwald–Letnikov fractional difference equations with available initial condition?* |
| topic | Matemáticas Grünwald independence initial condition dynamic properties Fractional calculus |
| url | https://www.redalyc.org/articulo.oa?id=694173183003 https://www.redalyc.org/journal/6941/694173183003/ https://www.redalyc.org/journal/6941/694173183003/html/ https://www.redalyc.org/journal/6941/694173183003/694173183003.epub https://www.redalyc.org/journal/6941/694173183003/movil https://doi.org/10.15388/namc.2022.27.26623 |