Existence of mild solutions for fractional nonautonomous evolution equations of Sobolev type with delay [PDF]
Journal of Inequalities and Applications, 2017 In this paper, we deal with a class of nonlinear fractional nonautonomous evolution equations with delay by using Hilfer fractional derivative, which generalizes the famous Riemann-Liouville fractional derivative. The definition of mild solutions for the
Haide Gou, Baolin Li
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Root Operators and “Evolution” Equations [PDF]
Mathematics, 2015 Root-operator factorization à la Dirac provides an effective tool to deal with equations, which are not of evolution type, or are ruled by fractional differential operators, thus eventually yielding evolution-like equations although for a multicomponent ...
Giuseppe Dattoli, Amalia Torre
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Evolution of the Wilson–Cowan equations [PDF]
Biological Cybernetics, 2021 The Wilson-Cowan equations were developed to provide a simplified yet powerful description of neural network dynamics. As such, they embraced nonlinear dynamics, but in an interpretable form. Most importantly, it was the first mathematical formulation to emphasize the significance of interactions between excitatory and inhibitory neural populations ...
Hugh R. Wilson, Jack D. Cowan
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Some approximation results for mild solutions of stochastic fractional order evolution equations driven by Gaussian noise. [PDF]
Stoch Partial Differ Equ, 2023 We investigate the quality of space approximation of a class of stochastic integral equations of convolution type with Gaussian noise. Such equations arise, for example, when considering mild solutions of stochastic fractional order partial differential ...
Fahim K, Hausenblas E, Kovács M.
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Cauchy Problem for an Abstract Evolution Equation of Fractional Order
Fractal and Fractional, 2023 In this paper, we define an operator function as a series of operators corresponding to the Taylor series representing the function of the complex variable.
Maksim V. Kukushkin
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Stochastic reaction–diffusion equations on networks [PDF]
, 2021 We consider stochastic reaction–diffusion equations on a finite network represented by a finite graph. On each edge in the graph, a multiplicative cylindrical Gaussian noise-driven reaction–diffusion equation is given supplemented by a dynamic Kirchhoff ...
Kovacs, Mihaly +4 more
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Classifying evolution equations [PDF]
Nonlinear Analysis, 2001 A Lie point symmetry classification of evolution equations in 1+1 time-space dimensions was presented.
Basarab-Horwath, P. +2 more
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Electroweak evolution equations [PDF]
Journal of High Energy Physics, 2005 15 pages, 3 ...
Ciafaloni, Paolo, Comelli, Denis
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Evolution equations of translational-rotational motion of a non-stationary triaxial body in a central gravitational field [PDF]
Theoretical and Applied Mechanics, 2020 The translational-rotational motion of a triaxial body with constant dynamic shape and variable size and mass in a non-stationary Newtonian central gravitational field is investigated. Differential equations of motion of the triaxial body in the relative
Minglibayev Mukhtar +2 more
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Finding exact solutions for selected nonlinear evolution differential equations [PDF]
, 2023 Burgers, Breaking Soliton and Boussinesq equations are applicable in different areas of physics. Searching their real solutions are particularly important.
Mohammed, Mayada G.. +2 more
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