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	Numerical Methods for Fractional Differential Equations Initial Value Problems Oti, Vincent Bediako ; Nechvátal, Luděk (referee) ; Tomášek, Petr (advisor) Tato diplomová práce se zabývá numerickými metodami pro řešení počátečních problémů zlomkových diferenciálních rovnic s Caputovou derivací. Jsou uvedeny dva numerické přístupy spolu s přehledem základních aproximačních formulí. Dvě verze Eulerovy metody jsou realizovány v Matlabu a porovnány na základě numerických experimentů. Detailed record
	Qualitative and numerical analysis of fractional differential equations Zemčíková, Michaela ; Tomášek, Petr (referee) ; Čermák, Jan (advisor) This master's thesis deals with fractional differential equations. One of the aims of this thesis is to mention summary of basic types of fractional differential equations. It is very difficult to find their exact solution, hence we will analyze the main qualitative properties of solution, which are stability and asymptotics. Part of the text will be devoted to fractional difference equations, i.e. discussion of numerical solution. At the end of thesis the Bagley-Torvik model will be described with respect to qualitative properties and numerical solution. Detailed record
	Numerical Methods for Fractional Differential Equations Initial Value Problems Oti, Vincent Bediako ; Nechvátal, Luděk (referee) ; Tomášek, Petr (advisor) Tato diplomová práce se zabývá numerickými metodami pro řešení počátečních problémů zlomkových diferenciálních rovnic s Caputovou derivací. Jsou uvedeny dva numerické přístupy spolu s přehledem základních aproximačních formulí. Dvě verze Eulerovy metody jsou realizovány v Matlabu a porovnány na základě numerických experimentů. Detailed record
	Qualitative and numerical analysis of fractional differential equations Zemčíková, Michaela ; Tomášek, Petr (referee) ; Čermák, Jan (advisor) This master's thesis deals with fractional differential equations. One of the aims of this thesis is to mention summary of basic types of fractional differential equations. It is very difficult to find their exact solution, hence we will analyze the main qualitative properties of solution, which are stability and asymptotics. Part of the text will be devoted to fractional difference equations, i.e. discussion of numerical solution. At the end of thesis the Bagley-Torvik model will be described with respect to qualitative properties and numerical solution. Detailed record

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