General Fractional Dynamics
نویسندگان
چکیده
General fractional dynamics (GFDynamics) can be viewed as an interdisciplinary science, in which the nonlocal properties of linear and nonlinear dynamical systems are studied by using general calculus, equations with integrals (GFI) derivatives (GFD), or mappings discrete time. GFDynamics implies research obtaining results concerning form nonlocality, described general-form operator kernels not its particular implementations representations. In this paper, concept “general mappings” is proposed; these exact solutions GFI GFD at points. mappings, nonlocality determined that belong to Sonin Luchko sets kernel pairs. These types used for initial equations. Using we considered time, operators periodic kicks. Equations arbitrary order were also derive mappings. The differential integral kicks obtained. timepoints without approximations. Some examples time described.
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ژورنال
عنوان ژورنال: Mathematics
سال: 2021
ISSN: ['2227-7390']
DOI: https://doi.org/10.3390/math9131464