Electric Vehicle Mechanical Transmission System Based on Fractional Differential Equations

[1] Li, S., Hu, M., Li, Y., & Gong, C. Fractional‐order modeling and SOC estimation of lithium‐ion battery considering capacity loss. International Journal of Energy Research.,2019; 43(1): 417-429 Search in Google Scholar

[2] Saad, K. M. New fractional derivative with non-singular kernel for deriving Legendre spectral collocation method. Alexandria Engineering Journal.,2020; 59(4): 1909-1917 Search in Google Scholar

[3] Deng, Z., Hu, X., Lin, X., Xu, L., Li, J., & Guo, W. A reduced-order electrochemical model for all-solid-state batteries. IEEE Transactions on Transportation Electrification.,2020; 7(2): 464-473 Search in Google Scholar

[4] Ezz-Eldien, S. S., Wang, Y., Abdelkawy, M. A., Zaky, M. A., Aldraiweesh, A. A., & Machado, J. T. Chebyshev spectral methods for multi-order fractional neutral pantograph equations. Nonlinear Dynamics.,2020; 100(4): 3785-3797 Search in Google Scholar

[5] Ardjal, A., Mansouri, R., & Bettayeb, M. Fractional sliding mode control of wind turbine for maximum power point tracking. Transactions of the Institute of Measurement and Control.,2019; 41(2): 447-457 Search in Google Scholar

[6] Mohapatra, T. K., Dey, A. K., & Sahu, B. K. Employment of quasi oppositional SSA-based two-degree-of-freedom fractional order PID controller for AGC of assorted source of generations. IET Generation, Transmission & Distribution.,2020; 14(17): 3365-3376 Search in Google Scholar

[7] Li, C., Guo, Q., & Zhao, M. New solitary wave solutions of (2+ 1)-dimensional space–time fractional Burgers equation and Korteweg–de Vries equation. Computers & Mathematics with Applications.,2019; 77(8): 2255-2262 Search in Google Scholar

[8] Ersal, T., Kolmanovsky, I., Masoud, N., Ozay, N., Scruggs, J., Vasudevan, R., & Orosz, G. Connected and automated road vehicles: state of the art and future challenges. Vehicle system dynamics.,2020; 58(5): 672-704 Search in Google Scholar

[9] Anselma, P. G., & Belingardi, G. Comparing battery electric vehicle powertrains through rapid component sizing. International Journal of Electric and Hybrid Vehicles.,2019; 11(1): 36-58 Search in Google Scholar

[10] Cui, T., Ding, F., Jin, X. B., Alsaedi, A., & Hayat, T. Joint multi-innovation recursive extended least squares parameter and state estimation for a class of state-space systems. International Journal of Control, Automation and Systems.,2020; 18(6): 1412-1424 Search in Google Scholar

[11] Muñoz-Vázquez, A. J., Sánchez-Torres, J. D., Parra-Vega, V., Sánchez-Orta, A., & Martínez-Reyes, F. A fractional super-twisting control of electrically driven mechanical systems. Transactions of the Institute of Measurement and Control.,2020; 42(3): 485-492 Search in Google Scholar

[12] Acharya, N., Bag, R., & Kundu, P. K. On the mixed convective carbon nanotube flow over a convectively heated curved surface. Heat Transfer.,2020; 49(4): 1713-1735 Search in Google Scholar

[13] Aghili, A. Complete Solution For The Time Fractional Diffusion Problem With Mixed Boundary Conditions by Operational Method. Applied Mathematics and Nonlinear Sciences.,2021; 6(1): 9-20 Search in Google Scholar

[14] Kaur, D., Agarwal, P., Rakshit, M. & Chand, M. Fractional Calculus involving (p, q)-Mathieu Type Series. Applied Mathematics and Nonlinear Sciences.,2020; 5(2): 15-34 Search in Google Scholar

[15] Atangana, A., & Akgül, A. Can transfer function and Bode diagram be obtained from Sumudu transform. Alexandria Engineering Journal., 2020;59(4): 1971-1984 Search in Google Scholar