Analysis of Fractional Differential Equations
Copyright policy )Analysis of Fractional Differential Equations
The authors discuss the existence, uniqueness and structural stability of solutions to nonlinear differential equations of fractional order. They take the differential operators in the Riemann-Liouville sense and the initial conditions are specified according to Caputo's suggestion, in order to allow for an interpretation in a physically meaningful way. They also investigate the dependence of the solution on the order of the differential equation and on the initial condition, and they relate their results to the selection of an appropriate numerical scheme for solving fractional differential equations.
- Technische Universität Braunschweig Germany
- University of Chester United Kingdom
- University of Applied Sciences Würzburg-Schweinfurt Germany
- Chester College of New England United States
Applied Mathematics, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc., existence, differential equations, uniqueness, fractional differential equations, Numerical methods for initial value problems involving ordinary differential equations, fractional order, Fractional derivatives and integrals, numerical methods, structural stability, solutions, Analysis, Theoretical approximation of solutions to ordinary differential equations
Applied Mathematics, Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc., existence, differential equations, uniqueness, fractional differential equations, Numerical methods for initial value problems involving ordinary differential equations, fractional order, Fractional derivatives and integrals, numerical methods, structural stability, solutions, Analysis, Theoretical approximation of solutions to ordinary differential equations
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