Lyapunov functions and convergence to steady state for differential equations of fractional order

By Vicente Vergara, Rico Zacher. 2008

75 citations recorded by the source corpus.

Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering

View Paper: https://www.semanticscholar.org/paper/a20f4e73b96b77384cb38082bf95433ecb983643

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Rico Zacher
2. Yuri Luchko
3. Yury F. Luchko
4. Masahiro Yamamoto
5. Matthias Kotschote
6. Juhana Siljander
7. Jukka Kemppainen
8. Ildoo Kim

In Computational Theory and Mathematics

1. Rico Zacher

In Control and Systems Engineering

1. Rico Zacher
2. Yury F. Luchko
3. Yuri Luchko

Citations in the corpus

• Time fractional diffusion equations: solution concepts, regularity, and long-time behavior (2019, methodology): “We refer to [42] for the computation of the Yosida approximation and to [47] for the derivation of (in time) regularized weak formulations.”
• Weak Solutions of Abstract Evolutionary Integro-Differential Equations in Hilbert Spaces (2009, methodology): “We remark that recently ([9]) the identity (17) was successfully employed to construct Lyapunov functions for certain nonlinear differential equations of fractional order between 0 and 2.”
• Boundedness of weak solutions to evolutionary partial integro-differential equations with discontinuous coefficients (2008, unknown): “method has already been used in [14] and [17], we also refer to [9], where a more general class of integro-differential operators (in time) is studied.”