TY - JOUR ID - TI - Noether symmetry theory of fractional order constrainedHamiltonian systems based on a fractional factor AU - Zheng MingLiang PY - 2018 VL - 4 IS - 1 SP - 180 EP - 186 JO - Karbala International Journal of Modern Science مجلة كربلاء العالمية للعلوم الحديثة SN - 2405609X 24056103 AB - In this paper, we study the Noether Symmetries and conserved quantities of fractional order constrained Hamiltonion systemsbased on a fractional factor. Firstly, we put forward the calculation method of fractional derivative by the fractional factor, and givethe variational problem of fractional systems; Secondly, according to the regular action quantity under the infinitesimal trans-formation for invariance, we give the definition of Noether symmetric transformation and the criterion equation; Further, accordingto the relation between symmetries and conserved quantities, we obtain the Noether theorem and its inverse problem. Finally, anexample is given to illustrate the application of the result. The research shows that it keeps natural height consistency in the formwith the classical integer order constrained mechanical systems by using the derivative definition with fractional factor, thefractional factor can establish the connection between the fractional order systems and the integer order systems.

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