Theory and Methods of Piecewise Defined Fractional Operators

ISBN-13: 9780443221569 / Miękka / 2026 / 260 str.

Department o Seda Igret (Assistant Professor of Mathematics

Spis treści

1. Piecewise differential operators and their properties2. Piecewise integral operators and their properties3. Existence and uniqueness of Cauchy problems with nonlocal operators under the framework of Carathéodory's4. Extension of second-order parametrized Runge-Kutta method to ODE with nonlocal operators 5. Existence, uniqueness, and numerical analysis of piecewise IVP with classical and global differentiation6. Theoretical and numerical analysis of piecewise IVP with classical and fractional derivative7. Analysis of piecewise deterministic and stochastic Cauchy problems 8. Numerical analysis of piecewise Cauchy problem with fractional and global derivative 9. Analysis of a deterministic-fractional stochastic Cauchy problem 10. Analysis of piecewise Cauchy problem with global and fractal-fractional derivative11. Analysis of piecewise Cauchy problem with global and stochastic12. Piecewise fractal-fractional: Theoretical and numerical analysis