Abstract
We study the duality theory for fractional resolvents, extending and improving some corresponding theorems on semigroups. As applications, we develop the variational technique to analyze the finite-approximate controllability of a backward fractional control system with a right-sided Riemann-Liouville fractional derivative. Moreover, validity of our theoretical findings is given by a fractional diffusion model.
Acknowledgements
The authors are grateful to the editor and the referees for their constructive comments and suggestions for the improvement of the paper. Furthermore, the work was supported by the NSF of China (11871064, 11771378) and the NSF of the JiangSu Higher Education Institutions (18KJB110019).
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© 2021 Diogenes Co., Sofia
Artikel in diesem Heft
- Frontmatter
- Editorial Note
- Anniversary of Prof. S.G. Samko, FC Events (FCAA–Volume 24–2–2021)
- Research Paper
- Operational calculus for the general fractional derivative and its applications
- Riesz potentials and orthogonal radon transforms on affine Grassmannians
- Characterizations of variable martingale Hardy spaces via maximal functions
- Survey Paper
- Contributions on artificial potential field method for effective obstacle avoidance
- Research Paper
- Self-similar cauchy problems and generalized Mittag-Leffler functions
- Asymptotic behavior of solutions of fractional differential equations with Hadamard fractional derivatives
- A boundary value problem for a partial differential equation with fractional derivative
- Operational calculus for the Riemann–Liouville fractional derivative with respect to a function and its applications
- Duality theory of fractional resolvents and applications to backward fractional control systems
- Kinetic solutions for nonlocal stochastic conservation laws
- A fractional analysis in higher dimensions for the Sturm-Liouville problem
- Averaging theory for fractional differential equations
Artikel in diesem Heft
- Frontmatter
- Editorial Note
- Anniversary of Prof. S.G. Samko, FC Events (FCAA–Volume 24–2–2021)
- Research Paper
- Operational calculus for the general fractional derivative and its applications
- Riesz potentials and orthogonal radon transforms on affine Grassmannians
- Characterizations of variable martingale Hardy spaces via maximal functions
- Survey Paper
- Contributions on artificial potential field method for effective obstacle avoidance
- Research Paper
- Self-similar cauchy problems and generalized Mittag-Leffler functions
- Asymptotic behavior of solutions of fractional differential equations with Hadamard fractional derivatives
- A boundary value problem for a partial differential equation with fractional derivative
- Operational calculus for the Riemann–Liouville fractional derivative with respect to a function and its applications
- Duality theory of fractional resolvents and applications to backward fractional control systems
- Kinetic solutions for nonlocal stochastic conservation laws
- A fractional analysis in higher dimensions for the Sturm-Liouville problem
- Averaging theory for fractional differential equations