Optimal Points for Numerical Differentiation.
H.E. SALZER (1960)
Numerische Mathematik
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Displaying similar documents to “Asymptotically Optimal Approximation in Fractional Sobolev Spaces and the Numerical Solution of Differential Equations.”
Optimal Points for Numerical Differentiation.
On the numerical solutions of some fractional ordinary differential equations by fractional Adams-Bashforth-Moulton method
Haci Mehmet Baskonus, Hasan Bulut (2015)
Open Mathematics
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In this paper, we apply the Fractional Adams-Bashforth-Moulton Method for obtaining the numerical solutions of some linear and nonlinear fractional ordinary differential equations. Then, we construct a table including numerical results for both fractional differential equations. Then, we draw two dimensional surfaces of numerical solutions and analytical solutions by considering the suitable values of parameters. Finally, we use the L2 nodal norm and L∞ maximum nodal norm to evaluate...
An effective numerical method and its utilization to solution of fractional models used in bioengineering applications.
Petráš, Ivo (2011)
Advances in Difference Equations [electronic only]
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Optimal approximation simulation and analog realization of the fundamental fractional order transfer function
Abdelbaki Djouambi, Abdelfatah Charef, Alina Voda besancon (2007)
International Journal of Applied Mathematics and Computer Science
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This paper provides an optimal approximation of the fundamental linear fractional order transfer function using a distribution of the relaxation time function. Simple methods, useful in systems and control theories, which can be used to approximate the irrational transfer function of a class of fractional systems fora given frequency band by a rational function are presented. The optimal parameters of the approximated model are obtained by minimizing simultaneously the gain and the phase...
An Approximation Technique for the Numerical Solution of a Stefan Problem.
R. Reemtsen, C.J. Lozano (1982)
Numerische Mathematik
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Fractional Hajłasz-Morrey-Sobolev spaces on quasi-metric measure spaces
Wen Yuan, Yufeng Lu, Dachun Yang (2015)
Studia Mathematica
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In this article, via fractional Hajłasz gradients, the authors introduce a class of fractional Hajłasz-Morrey-Sobolev spaces, and investigate the relations among these spaces, (grand) Morrey-Triebel-Lizorkin spaces and Triebel-Lizorkin-type spaces on both Euclidean spaces and RD-spaces.
Time-delay and fractional derivatives.
Machado, J.A.Tenreiro (2011)
Advances in Difference Equations [electronic only]
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Time-optimal control of systems with fractional dynamics.
Tricaud, Christophe, Chen, Yangquan (2010)
International Journal of Differential Equations
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A disjunctive linear fractional max-min problem
Patkar, Vivek, Stancu-Minasian, I.M. (1991)
Portugaliae mathematica
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Stability and convergence of an effective numerical method for the time-space fractional Fokker-Planck equation with a nonlinear source term.
Yang, Qianqian, Liu, Fawang, Turner, Ian (2010)
International Journal of Differential Equations
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The foam drainage equation with time and space-fractional derivatives solved by the adomian method.
Dahmani, Z., Mesmoudi, M.M., Bebbouchi, R. (2008)
Electronic Journal of Qualitative Theory of Differential Equations [electronic only]
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Fractional descriptor continuous-time linear systems described by the Caputo-Fabrizio derivative
Tadeusz Kaczorek, Kamil Borawski (2016)
International Journal of Applied Mathematics and Computer Science
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The Weierstrass-Kronecker theorem on the decomposition of the regular pencil is extended to fractional descriptor continuous-time linear systems described by the Caputo-Fabrizio derivative. A method for computing solutions of continuous-time systems is presented. Necessary and sufficient conditions for the positivity and stability of these systems are established. The discussion is illustrated with a numerical example.