Existence and optimal controls for nonlocal fractional evolution equations of order (1,2) in Banach spaces
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Publication:2167039
DOI10.1186/s13662-021-03430-9zbMath1494.34048OpenAlexW3177249641MaRDI QIDQ2167039
Denghao Pang, Azmat Ullah Khan Niazi, Jiale Sheng, Wei Jiang
Publication date: 25 August 2022
Published in: Advances in Difference Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1186/s13662-021-03430-9
Fractional derivatives and integrals (26A33) Nonlinear differential equations in abstract spaces (34G20) Fractional ordinary differential equations (34A08)
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Cites Work
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- Fractional abstract Cauchy problem with order \(\alpha \in (1,2)\)
- The existence and uniqueness of mild solutions for fractional differential equations with nonlocal conditions of order \(1<\alpha<2\)
- Controllability of nonlocal fractional differential systems of order \(\alpha \in (1,2\) in Banach spaces]
- Fractional finite time delay evolution systems and optimal controls in infinite-dimensional spaces
- Cauchy problems for fractional differential equations with Riemann-Liouville fractional derivatives
- On existence and uniqueness of solutions for semilinear fractional wave equations
- A class of fractional evolution equations and optimal controls
- Fractional optimal control problem of a distributed system in cylindrical coordinates
- Fractional conservation laws in optimal control theory
- Regularity of mild solutions for fractional abstract Cauchy problem with order \({\alpha \in (1, 2)}\)
- Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
- Delay systems and optimal control
- Cauchy problems for Keller-Segel type time-space fractional diffusion equation
- A survey on fuzzy fractional differential and optimal control nonlocal evolution equations
- A new fractional analysis on the interaction of HIV with \(\text{CD4}^+\) T-cells
- Existence of solutions of non-autonomous fractional differential equations with integral impulse condition
- A discussion on the existence of positive solutions of the boundary value problems via \(\psi\)-Hilfer fractional derivative on \(b\)-metric spaces
- New results on existence in the framework of Atangana-Baleanu derivative for fractional integro-differential equations
- Sobolev type time fractional differential equations and optimal controls with the order in \((1,2)\).
- Existence and optimal controls for fractional stochastic evolution equations of Sobolev type via fractional resolvent operators
- Controllability results for impulsive mixed-type functional integro-differential evolution equations with nonlocal conditions
- Vector-valued Laplace Transforms and Cauchy Problems
- Cosine families and abstract nonlinear second order differential equations
- Basic Theory of Fractional Differential Equations
