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171 results on '"Ma, Li-Guo"'

27. Motion equations and non-Noether symmetries of Lagrangian systems with conformable fractional derivative

Author

Lijun Zhang, Ma-Li Guo, Chaudry Masood Khalique, and Jing-Li Fu

Subjects
conformable fractional derivative, Renewable Energy, Sustainability and the Environment, Holonomic, lcsh:Mechanical engineering and machinery, Equations of motion, Conformable matrix, Conserved quantity, Fractional calculus, lagrangian system, symbols.namesake, non-noether symmetry, Euler operator, Lagrangian system, symbols, lcsh:TJ1-1570, Noether's theorem, Mathematical physics, Mathematics
Abstract

In this paper, we present the fractional motion equations and fractional non-Noether symmetries of Lagrangian systems with the conformable fractional derivatives. The exchanging relationship between isochronous variation and fractional derivative, and the fractional Hamilton?s principle of the holonomic conservative and non-conservative systems under the conformable fractional derivative are proposed. Then the fractional motion equations of these systems based on the Hamil?ton?s principle are established. The fractional Euler operator, the definition of fractional non-Noether symmetries, non-Noether theorem, and Hojman?s conserved quantities for the Lagrangian systems are obtained with conformable fractional derivative. An example is given to illustrate the results.

Published
2021

28. Circulatory integral and Routh's equations of Lagrange systems with Riemann-Liouville fractional derivatives

Author

Ma-Li Guo, Jing-Li Fu, Chaudry Khalique Masood, and Lijun Zhang

Subjects
Renewable Energy, Sustainability and the Environment, lcsh:Mechanical engineering and machinery, Physics::Medical Physics, riemann-liouville fractional derivatives, lcsh:TJ1-1570, Riemann liouville, Physics::Data Analysis, Statistics and Probability, circulatory integral, lagrange system, routh's equation, Mathematics, Fractional calculus, Mathematical physics
Abstract

In this paper, the circulatory integral and Routh?s equations of Lagrange systems are established with Riemann-Liouville fractional derivatives, and the circulatory integral of Lagrange systems is obtained by making use of the relationship between Riemann-Liouville fractional integrals and fractional derivatives. Thereafter, the Routh?s equations of Lagrange systems are given based on the fractional circulatory integral. Two examples are presented to illustrate the application of the results.

Published
2021

43. Effectiveness of Sequential Chemoradiation vs Concurrent Chemoradiation or Radiation Alone in Adjuvant Treatment After Hysterectomy for Cervical Cancer

Author

Huang, He, primary, Feng, Yan-Ling, additional, Wan, Ting, additional, Zhang, Yan-Na, additional, Cao, Xin-Ping, additional, Huang, Yong-Wen, additional, Xiong, Ying, additional, Huang, Xin, additional, Zheng, Min, additional, Li, Yan-Fang, additional, Li, Jun-Dong, additional, Chen, Guan-Di, additional, Li, Hu, additional, Chen, Yi-Le, additional, Ma, Li-Guo, additional, Yang, Hong-Ying, additional, Li, Li, additional, Yao, Shu-Zhong, additional, Ye, Wei-Jun, additional, Tu, Hua, additional, Huang, Qi-Dan, additional, Liang, Li-Zhi, additional, Liu, Fu-Yuan, additional, Liu, Qing, additional, and Liu, Ji-Hong, additional

Published
2021
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