The Infona portal uses cookies, i.e. strings of text saved by a browser on the user's device. The portal can access those files and use them to remember the user's data, such as their chosen settings (screen view, interface language, etc.), or their login data. By using the Infona portal the user accepts automatic saving and using this information for portal operation purposes. More information on the subject can be found in the Privacy Policy and Terms of Service. By closing this window the user confirms that they have read the information on cookie usage, and they accept the privacy policy and the way cookies are used by the portal. You can change the cookie settings in your browser.
In the last few decades, new mathematical tools were proposed for a better description of the dynamics of complex systems. In the last few decades, new mathematical tools were proposed for a better description of the dynamics of complex systems. In this way, we are forced to consider fractional modelling, fractional dynamics, hybrid modelling as a natural tools for this purpose. Therefore, it is natural...
Analytical solutions of fractional differential equations of two point value problems are considered. An equivalent integral equation of fractional order is used. The nonlinear term is linearized by Adomian polynomials. Approximation solutions are given successively and the error analysis is given. The results show that the new way is simple and efficient.
The main study of this paper is focused on the solutions of a class of fuzzy sequential fractional differential equations in the form of (0Dxβy)′(x) = b(x)y(x), where (0Dxβy)(x) is the fuzzy Riemann-Liouville derivative of order β ∈ (0, 1). On this subject, a new fuzzy complete metric space is introduced. Finally, we proof the existence and uniqueness of our solution using the contraction principle.
In our manuscript we suggest an approach to obtain the solutions of the fractional differential equations(FDEs). We found the operational matrix within the linear B-spline functions. In this way the investigated equations are turned into a set of algebraic equations. We provide examples to illustrate both accuracy and simplicity of the suggested approach.
During the last decade a huge interest was devoted to develop the fractional variational principles within various fractional derivatives and to connect them to important applications in various branches of science and engineering. On this line of taught in this manuscript we have investigated the Hamiltonian formulation corresponding to the Lagrangian with linear velocities within Hilfer fractional...
Welcome everyone to attend the International Conference on Nonlinear Science and Complexity, Budapest, Hungary, August 6–11, 2012. Thank all of you to submit your recent researches to DVC2009 for exchanging ideas. The First Conference on Nonlinear Science and complexity was held in 2006 at Beijing, China. The Second Conference was held in 2008 at Porto, Portugal. The third Conference was hold in 2010...
In this paper we describe novel results of the application of the non-orthogonal amplitude-frequency analysis of the smoothed signals (NAFASS) approach [1] for the analysis of the dielectric response of some complex materials. Our goal is to convince experimentalists that the NAFASS approach can serve as a useful tool in the cases when an underlying physical model is absent or in cases when it is...
Set the date range to filter the displayed results. You can set a starting date, ending date or both. You can enter the dates manually or choose them from the calendar.