Name
Title | ||
|---|---|---|
Optimal Control of Diffusion Equation with Fractional Time Derivative with Nonlocal and Nonsingular Mittag-Leffler Kernel |
Abstract | ||
|---|---|---|
In this paper, we consider a diffusion equation with fractional time derivative with nonsingular Mittag-Leffler kernel in Hilbert spaces. We first prove the existence and uniqueness of solution by means of a spectral argument. Then, we consider a distributed controlled fractional diffusion problem. We show that there exists a unique optimal control, which can act on the system in order to approach the state of the system by a given state at minimal cost. Finally, using the Euler–Lagrange first-order optimality condition, we obtain an optimality system, which characterizes the optimal control. |
Year | DOI | Venue |
|---|---|---|
2019 | 10.1007/s10957-018-1305-6 | Journal of Optimization Theory and Applications |
Keywords | Field | DocType |
Mittag-Leffler functions,Time-fractional differential equation,Optimality system,Euler–Lagrange optimality conditions,49J20,49K20,26A33 | Kernel (linear algebra),Hilbert space,Uniqueness,Optimal control,Mathematical analysis,Time derivative,Invertible matrix,Mathematics,Fractional diffusion,Diffusion equation | Journal |
Volume | Issue | ISSN |
182 | 2 | 1573-2878 |
Citations | PageRank | References |
0 | 0.34 | 3 |
Authors | ||
3 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Jean-Daniel Djida | 1 | 0 | 0.34 |
| G.M. Mophou | 2 | 31 | 6.27 |
| I. Area | 3 | 4 | 3.35 |