Muslih, S.I.Agrawal, O.P.Baleanu, D.02.02. Matematik02. Fen-Edebiyat Fakültesi01. Çankaya Üniversitesi2025-06-052025-09-182025-06-052025-09-1820250020-7748https://doi.org/10.1007/s10773-025-06030-5https://hdl.handle.net/123456789/12228Recently, a generalization of fractional variational formulations in terms of multiparameter fractional derivatives was introduced by Agrawal and Muslih. This treatment can be used to obtain the Lagrangian and Hamiltonian equations of motion. In this paper, we also extend our work to introduce the generalization of the formulation for constrained mechanical systems containing multi-parameter fractional derivatives. Three examples for regular and constrained fractional systems are analyzed. © The Author(s) 2025.eninfo:eu-repo/semantics/closedAccessCaputo Fractional DerivativesFractional CalculusMulti-Parameters Fractional DerivativesRiemann-LiouvilleArticle10.1007/s10773-025-06030-52-s2.0-105006803127