@article{Cruz2025, 
author = {Fátima Cruz and Ricardo Almeida and Natália Martins},
title = {A Pontryagin maximum principle for optimal control problems involving generalized distributional-order derivatives},
year = {2025},
journal = {AIMS Mathematics},
volume = {10},
number = {5},
pages = {11939-11956},
keywords = {fractional calculus, fractional optimal control, Pontryagin maximum principle},
url = {https://www.sciopen.com/article/10.3934/math.2025539},
doi = {10.3934/math.2025539},
abstract = {In this work, we extended fractional optimal control (OC) theory by proving a version of Pontryagin's maximum principle and establishing sufficient optimality conditions for an OC problem. The dynamical system constraint in the OC problem under investigation is described by a generalized fractional derivative: the left-sided Caputo distributed-order fractional derivative with an arbitrary kernel. This approach provides a more versatile representation of dynamic processes, accommodating a broader range of memory effects and hereditary properties inherent in diverse physical, biological, and engineering systems.}
}