Linear stationary fractional differential equations
-
Valeriy Nosov
und
Jesús Alberto Meda-Campaña
Abstract
In this paper, fractional-order derivatives satisfying conventional concepts, are considered in order to present some stability results on linear stationary differential equations of fractional-order. As expected, the obtained results are very close to the ones widely accepted in differential equations of integer order. Some examples are included in order to show how some restrictions of more sophisticated fractional-order derivatives are overcome.
Acknowledgements
This work was partially supported by Consejo Nacional de Ciencia y Tecnología through scholarship Sistema Nacional de Investigadores and by Instituto Politécnico Nacional through research projects and scholarships Estímulo al Desempeño de los Investigadores and Comisión de Operación y Fomento de Actividades Académicas.
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© 2019 Diogenes Co., Sofia
Artikel in diesem Heft
- Frontmatter
- Editorial Note
- FCAA related news, events and books (FCAA–Volume 22–2–2019)
- Discussion Paper
- The flaw in the conformable calculus: It is conformable because it is not fractional
- The failure of certain fractional calculus operators in two physical models
- Research Paper
- Inverse problems for a class of degenerate evolution equations with Riemann – Liouville derivative
- On Riesz derivative
- A note on fractional powers of strongly positive operators and their applications
- Semi-fractional diffusion equations
- Extremum principle for the Hadamard derivatives and its application to nonlinear fractional partial differential equations
- Well-posedness of fractional degenerate differential equations in Banach spaces
- Structure factors for generalized grey Browinian motion
- Linear stationary fractional differential equations
- Perfect control for right-invertible Grünwald-Letnikov plants – an innovative approach to practical implementation
- On fractional differential inclusions with Nonlocal boundary conditions
- On solutions of linear fractional differential equations and systems thereof
- Existence of mild solution of a class of nonlocal fractional order differential equation with not instantaneous impulses
- A CAD-based algorithm for solving stable parameter region of fractional-order systems with structured perturbations
- On representation and interpretation of Fractional calculus and fractional order systems
Artikel in diesem Heft
- Frontmatter
- Editorial Note
- FCAA related news, events and books (FCAA–Volume 22–2–2019)
- Discussion Paper
- The flaw in the conformable calculus: It is conformable because it is not fractional
- The failure of certain fractional calculus operators in two physical models
- Research Paper
- Inverse problems for a class of degenerate evolution equations with Riemann – Liouville derivative
- On Riesz derivative
- A note on fractional powers of strongly positive operators and their applications
- Semi-fractional diffusion equations
- Extremum principle for the Hadamard derivatives and its application to nonlinear fractional partial differential equations
- Well-posedness of fractional degenerate differential equations in Banach spaces
- Structure factors for generalized grey Browinian motion
- Linear stationary fractional differential equations
- Perfect control for right-invertible Grünwald-Letnikov plants – an innovative approach to practical implementation
- On fractional differential inclusions with Nonlocal boundary conditions
- On solutions of linear fractional differential equations and systems thereof
- Existence of mild solution of a class of nonlocal fractional order differential equation with not instantaneous impulses
- A CAD-based algorithm for solving stable parameter region of fractional-order systems with structured perturbations
- On representation and interpretation of Fractional calculus and fractional order systems
