Optimal control of fractional Sturm–Liouville wave equations on a star graph
DOI10.1080/02331934.2022.2088370zbMath1527.35457OpenAlexW4283012871WikidataQ115421408 ScholiaQ115421408MaRDI QIDQ6092943
Publication date: 23 November 2023
Published in: Optimization (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/02331934.2022.2088370
optimal controloptimality conditionsSturm-Liouville equationsRiemann-Liouville fractional derivativeCaputo fractional derivative
Initial-boundary value problems for second-order hyperbolic equations (35L20) Fractional derivatives and integrals (26A33) Methods involving semicontinuity and convergence; relaxation (49J45) Existence theories for optimal control problems involving partial differential equations (49J20) Fractional partial differential equations (35R11) PDEs on graphs and networks (ramified or polygonal spaces) (35R02)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Fractional Sturm-Liouville problem
- Fractional Sturm-Liouville eigen-problems: theory and numerical approximation
- Optimal control of fractional diffusion equation
- Generalized wave equation in nonlocal elasticity
- The fractional calculus. Theory and applications of differentiation and integration to arbitrary order
- Fractional Sobolev spaces via Riemann-Liouville derivatives
- A general formulation and solution scheme for fractional optimal control problems
- Optimal Control of the Undamped Linear Wave Equation with Measure Valued Controls
- On the Mathematical Model for Linear Elastic Systems with Analytic Damping
- On fractional powers of a closed pair of operators and a damped wave equation with dynamic boundary conditions
- Optimal control of a fractional Sturm–Liouville problem on a star graph
- Fractional variational calculus in terms of Riesz fractional derivatives
- The general time fractional wave equation for a vibrating string
- Fractional wave equation and damped waves
- Optimal control problems of parabolic fractional Sturm-Liouville equations in a star graph