Analysis of fractional hybrid differential equations with impulses in partially ordered Banach algebras
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| Format: | Artículo científico |
| Langue: | en |
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Vilniaus Universitetas
2021
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| _version_ | 1876446296849514496 |
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| author | Jin You |
| author_facet | Jin You |
| contents | Analysis of fractional hybrid differential equations with impulses in partially ordered Banach algebras Jin You Han Zhenlai Matemáticas quadratic Dhage iteration principle hybrid fixed point theorem Impulsive fractional differential equation In this paper, we investigate a class of fractional hybrid differential equations with impulses, which can be seen as nonlinear differential equations with a quadratic perturbation of second type and a linear perturbation in partially ordered Banach algebras. We deduce the existence and approximation of a mild solution for the initial value problems of this system by applying Dhage iteration principles and related hybrid fixed point theorems. Compared with previous works, we generalize the results to fractional order and extend some existing conclusions for the first time. Meantime, we take into consideration the effect of impulses. Our results indicate the influence of fractional order for nonlinear hybrid differential equations and improve some known results, which have wider applications as well. A numerical example is included to illustrate the effectiveness of the proposed results. 2021 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694173172005 https://www.redalyc.org/journal/6941/694173172005/ https://www.redalyc.org/journal/6941/694173172005/html/ https://www.redalyc.org/journal/6941/694173172005/694173172005.epub https://www.redalyc.org/journal/6941/694173172005/movil https://doi.org/10.15388/namc.2021.26.24939 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.6 Vol.26 |
| format | Artículo científico |
| id | redalyc_694173172005 |
| institution | Redalyc |
| language | en |
| publishDate | 2021 |
| publisher | Vilniaus Universitetas |
| spellingShingle | Analysis of fractional hybrid differential equations with impulses in partially ordered Banach algebras Jin You Matemáticas quadratic Dhage iteration principle hybrid fixed point theorem Impulsive fractional differential equation Analysis of fractional hybrid differential equations with impulses in partially ordered Banach algebras Jin You Han Zhenlai Matemáticas quadratic Dhage iteration principle hybrid fixed point theorem Impulsive fractional differential equation In this paper, we investigate a class of fractional hybrid differential equations with impulses, which can be seen as nonlinear differential equations with a quadratic perturbation of second type and a linear perturbation in partially ordered Banach algebras. We deduce the existence and approximation of a mild solution for the initial value problems of this system by applying Dhage iteration principles and related hybrid fixed point theorems. Compared with previous works, we generalize the results to fractional order and extend some existing conclusions for the first time. Meantime, we take into consideration the effect of impulses. Our results indicate the influence of fractional order for nonlinear hybrid differential equations and improve some known results, which have wider applications as well. A numerical example is included to illustrate the effectiveness of the proposed results. 2021 artículo científico 1392-5113 https://www.redalyc.org/articulo.oa?id=694173172005 https://www.redalyc.org/journal/6941/694173172005/ https://www.redalyc.org/journal/6941/694173172005/html/ https://www.redalyc.org/journal/6941/694173172005/694173172005.epub https://www.redalyc.org/journal/6941/694173172005/movil https://doi.org/10.15388/namc.2021.26.24939 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.6 Vol.26 |
| title | Analysis of fractional hybrid differential equations with impulses in partially ordered Banach algebras |
| topic | Matemáticas quadratic Dhage iteration principle hybrid fixed point theorem Impulsive fractional differential equation |
| url | https://www.redalyc.org/articulo.oa?id=694173172005 https://www.redalyc.org/journal/6941/694173172005/ https://www.redalyc.org/journal/6941/694173172005/html/ https://www.redalyc.org/journal/6941/694173172005/694173172005.epub https://www.redalyc.org/journal/6941/694173172005/movil https://doi.org/10.15388/namc.2021.26.24939 |