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Variational approach to optimal control constrained by fractal-fractional differential equations | ||
| Journal of Computational Applied Mechanics | ||
| دوره 56، شماره 3، مهر 2025، صفحه 602-610 اصل مقاله (389.56 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22059/jcamech.2025.396838.1504 | ||
| نویسندگان | ||
| Yue Cheng1؛ Jia-Hong Zhu1؛ Peng-Bin Luo1؛ Yue Shen2؛ JI-Huan He* 1، 3، 4 | ||
| 1School of Information Engineering, Yango University, Fuzhou 350015, China | ||
| 2School of Science, Xi'an University of Architecture and Technology, Xi’an 710055, China | ||
| 3School of Jia Yang, Zhejiang Shuren University, Shaoxing 312028, China | ||
| 4Department of Mathematical Sciences, Saveetha School of Engineering, SIMATS, Chennai, Tamil Nadu, India | ||
| چکیده | ||
| The extant corpus of literature pertaining to optimal control problems with partial differential equation (PDE) constraints is extensive. This paper introduces a novel variational approach to optimal control problems constrained by fractal-fractional differential equations. Utilizing the shallow water wave as a case study, the semi-inverse method is employed to establish the variational formulation. This approach not only exemplifies a novel mode of thinking but also has significant ramifications for the field. This novel approach to optimal control paves a promising path for further research and provides researchers and practitioners with a novel perspective and potential avenues for further exploration. By exploring this alternative approach, researchers and practitioners can develop a more profound understanding of the fundamental nature of optimal control problems and identify more effective solutions for a wide range of applications. | ||
| کلیدواژهها | ||
| Optimal control problem؛ shallow water equations؛ control constraints؛ semi-inverse method؛ Lagrange multiplier | ||
| مراجع | ||
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