Existence and Stability Results for Coupled Fractional Dynamic System with Impulses over Non-uniform Time Domains
In this manuscript, we examine the existence, uniqueness and stability results for a coupled fractional dynamical system with impulsive and initial-boundary (IB) conditions on non-uniform time domains by implying the theory of time scales. Firstly, we find the solution of the consider problem, then...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2022-04-01
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| Series: | Nonautonomous Dynamical Systems |
| Subjects: | |
| Online Access: | https://doi.org/10.1515/msds-2022-0146 |
| _version_ | 1827998175574622208 |
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| author | Kumar Vipin Malik Muslim |
| author_facet | Kumar Vipin Malik Muslim |
| author_sort | Kumar Vipin |
| collection | DOAJ |
| description | In this manuscript, we examine the existence, uniqueness and stability results for a coupled fractional dynamical system with impulsive and initial-boundary (IB) conditions on non-uniform time domains by implying the theory of time scales. Firstly, we find the solution of the consider problem, then we examine the existence and stability results. Mainly, we use the Banach and Leray-Schauder’s alternative type fixed point theorems to establish the main results. At last, we present an example to illustrate the utilization of these analytical outcomes. |
| first_indexed | 2024-04-10T05:40:44Z |
| format | Article |
| id | doaj.art-2cf4842ff11c47d7b3e254477d90afe4 |
| institution | Directory Open Access Journal |
| issn | 2353-0626 |
| language | English |
| last_indexed | 2024-04-10T05:40:44Z |
| publishDate | 2022-04-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Nonautonomous Dynamical Systems |
| spelling | doaj.art-2cf4842ff11c47d7b3e254477d90afe42023-03-06T10:26:16ZengDe GruyterNonautonomous Dynamical Systems2353-06262022-04-0191375510.1515/msds-2022-0146Existence and Stability Results for Coupled Fractional Dynamic System with Impulses over Non-uniform Time DomainsKumar Vipin0Malik Muslim1School of Basic Sciences, Indian Institute of Technology Mandi, H. P.IndiaSchool of Basic Sciences, Indian Institute of Technology Mandi, H. P.IndiaIn this manuscript, we examine the existence, uniqueness and stability results for a coupled fractional dynamical system with impulsive and initial-boundary (IB) conditions on non-uniform time domains by implying the theory of time scales. Firstly, we find the solution of the consider problem, then we examine the existence and stability results. Mainly, we use the Banach and Leray-Schauder’s alternative type fixed point theorems to establish the main results. At last, we present an example to illustrate the utilization of these analytical outcomes.https://doi.org/10.1515/msds-2022-0146existencestabilitycoupled fractional dynamical systemtime scales34a0834a1203c4534n05 |
| spellingShingle | Kumar Vipin Malik Muslim Existence and Stability Results for Coupled Fractional Dynamic System with Impulses over Non-uniform Time Domains Nonautonomous Dynamical Systems existence stability coupled fractional dynamical system time scales 34a08 34a12 03c45 34n05 |
| title | Existence and Stability Results for Coupled Fractional Dynamic System with Impulses over Non-uniform Time Domains |
| title_full | Existence and Stability Results for Coupled Fractional Dynamic System with Impulses over Non-uniform Time Domains |
| title_fullStr | Existence and Stability Results for Coupled Fractional Dynamic System with Impulses over Non-uniform Time Domains |
| title_full_unstemmed | Existence and Stability Results for Coupled Fractional Dynamic System with Impulses over Non-uniform Time Domains |
| title_short | Existence and Stability Results for Coupled Fractional Dynamic System with Impulses over Non-uniform Time Domains |
| title_sort | existence and stability results for coupled fractional dynamic system with impulses over non uniform time domains |
| topic | existence stability coupled fractional dynamical system time scales 34a08 34a12 03c45 34n05 |
| url | https://doi.org/10.1515/msds-2022-0146 |
| work_keys_str_mv | AT kumarvipin existenceandstabilityresultsforcoupledfractionaldynamicsystemwithimpulsesovernonuniformtimedomains AT malikmuslim existenceandstabilityresultsforcoupledfractionaldynamicsystemwithimpulsesovernonuniformtimedomains |