| Podlubny I 1999 Fractional differential equations (New York: Academic Press) pp. 41-120 |
| Petráš I 2011 Fractional-Order Nonlinear Systems: Modeling, Analysis and Simulation (Berlin: Springer Science & Business Media) pp. 7-42 |
| Yuan L, Zheng S and Wei Z 2022 Eur. Phys. J. Spec. Top. 231 2477 |
| Chen L, Wu X, António M L, Li X, Li P and Wu R 2023 Commun. Nonlinear Sci. Numer. Simul. 125 107365 |
| Zhou X, Jiang D, Nkapkop J, Ahmad M, Fossi J, Tsafack N and Wu J 2024 Chin. Phys. B 33 040506 |
| Jin M X, Sun K H and He S B 2023 Chin. Phys. B 32 060501 |
| Zhang Y, Xiao M, Cao J and Zheng W 2022 IEEE Trans. Syst. Man Cyber.: Syst. 52 1731 |
| Xu C, Liu Z, Liao M and Yao L 2022 Expert Syst. Appl. 199 116859 |
| El-Mesady A, Elsonbaty A and Adel W 2022 Chaos, Solitons and Fractals 164 112716 |
| Partohaghighi M, Yusuf A and Bayram M 2022 Int. J. Appl. Comput. Math. 8 86 |
| Chen L, Yin H, Huang T, Yuan L, Zheng S and Yin L 2020 Neural Netw. 125 174 |
| Cui L, Luo W and Ou Q 2021 Chin. Phys. B 30 020501 |
| He S, Wang H and Sun K 2022 Chin. Phys. B 31 060501 |
| Vignesh D, He S and Banerjee S 2023 Appl. Math. Comput. 455 128111 |
| Tang Z, He S, Wang H, Sun K, Yao Z and Wu X 2024 Chin. Phys. B 33 030503 |
| Wang X, Xu B, Shi P and Li S 2022 IEEE Tran. Neural Net. Lear. Syst. 33 445 |
| Wu X, Fu L, He S, Yao Z, Wang H and Han J 2023 Resul. Phys. 52 106866 |
| Leonov G, Bunin A and Koksch N 1987 Z. Angew. Math. Mech. 67 649 |
| Leonov G and Kuznetsov N 2013 Int. J. Bifurc. Chaos 23 1330002 |
| Swinnerton-Dyer P 2001 Phys. Lett. A 281 161 |
| Liao X 2004 Sci. China Ser. E, Inform. Sci. 34 1404 |
| Jian J, Wu K and Wang B 2020 Physica A 540 123166 |
| Peng Q and Jian J 2021 Chaos, Solitons and Fractals 150 111072 |
| Ren L, Lin M, Abdulwahab A, Ma J and Saberi-Nik H 2023 Chaos, Solitons and Fractals 169 113275 |
| Zhang X, Liu X, Zheng Y and Liu C 2013 Chin. Phys. B 22 030509 |
| Tacha O, Volos C, Kyprianidis I, Stouboulos I, Vaidyanathan S and Pham V 2016 Appl. Math. Comput. 276 200 |
| Tacha O, Munoz-Pacheco J, Zambrano-Serrano E, Stouboulos I and Pham V 2018 Nonlinear Dyn. 94 1303 |
| Jahanshahi H, Sajjadi S, Bekiros S and Aly A 2021 Chaos, Solitons and Fractals 144 110698 |
| Festag S, Denzler J and Spreckelsen C 2022 J. Biomed. Inform. 129 104058 |
| Maleki M, Mahmoudi M, Wraith D and Pho K 2022 Travel Med. Infect. Dis. 37 101742 |
| Puri C, Kooijman G, Vanrumste B and Luca S 2022 IEEE J Biomed. Health Inform. 26 6126 |
| Chimmula V and Zhang L 2022 Chaos, Solitons and Fractals 135 109864 |
| Wang W, Shao J and Jumahong H 2023 Sci. Rep. 13 20359 |
| Maass W, Natschläger T and Markram H 2002 Neural Comput. 14 2531 |
| Jaeger H and Haas H 2004 Science 304 78 |
| Du C, Cai F, Zidan M, Ma W, Lee S and Lu W 2017 Nat. Commun. 8 1 |
| Song Q, Zhao X, Feng Z, An Y and Song B 2021 CCDC 3893-3897 |
| Na X, Ren W, Liu M, Han M 2023 IEEE Trans. Neural Netw. Lear. Syst. 34 9302 |
| Staniczenko P, Lee C and Jones N 2009 Phys. Rev. E 79 011915 |
| Shen E, Cai Z and Gu F 2005 Appl. Math. Mech. 26 1188 |
| Gottwald G and Melbourne I 2004 Proc. Roy. Soc. A-Math. Phys. Eng. Sci. 460 603 |
| Muhamad D, Aceng S, Zheng S, Khaled B, Sundarapandian V, Mohamed M and Mamat M 2023 Chaos, Solitons and Fractals 177 114283 |
| Cherruault Y and Adomian G 1993 Math. Comput. Model. 18 103 |