Existence and discrete approximation for optimization problems governed by fractional differential equations
2018
Abstract We investigate a class of generalized differential optimization problems driven by the Caputo derivative. Existence of weak Carath e ´ odory solution is proved by using Weierstrass existence theorem, fixed point theorem and Filippov implicit function lemma etc. Then a numerical approximation algorithm is introduced, and a convergence theorem is established. Finally, a nonlinear programming problem constrained by the fractional differential equation is illustrated and the results verify the validity of the algorithm.
Keywords:
- Correction
- Source
- Cite
- Save
- Machine Reading By IdeaReader
37
References
10
Citations
NaN
KQI