Fractional Differential Equations with Impulsive Effects
This paper discusses impulsive effects on fractional differential equations. Two approaches are taken to obtain our results: either with fixed or changing lower limits in Caputo fractional derivatives. First, we derive an existence result for periodic solutions of fractional differential equations with periodically changing lower limits. Then, the impulsive effects are modeled for fractional differential equations regarding the nonlinearities rather than the initial value conditions. The proposed impulsive model differs from common discontinuous and nonsmooth dynamical systems.
Authors
- Marius‐F. Danca (ORCID: https://orcid.org/0000-0001-7699-8709)
- Guanrong Chen (ORCID: https://orcid.org/0000-0003-1381-7418)
- Mičhal Fĕckan (ORCID: https://orcid.org/0000-0002-7385-6737)
Institutions
- City University of Hong Kong (HK)
- Slovak Academy of Sciences (SK)
- Babeș-Bolyai University (RO)
- Mathematical Institute of the Slovak Academy of Sciences (SK)
- Romanian Institute of Science and Technology (RO)
- Comenius University Bratislava (SK)
Publication Details
- Journal
- Fractal and Fractional
- Published
- 2024-08-26
- DOI
- https://doi.org/10.3390/fractalfract8090500
- Citations
- 8
- Primary Topic
- Nonlinear Differential Equations Analysis
- Type
- article
- Field-Weighted Citation Impact
- 7.80
Funders
- Agentúra na Podporu Výskumu a Vývoja
- Vedecká Grantová Agentúra MŠVVaŠ SR a SAV