Chaos analysis and asymptotic stability of generalized Caputo fractional differential equations

Citations

Cited by:

1. Syam, Muhammed I. & Sharadga, Mwaffag & Hashim, I., 2021. "A numerical method for solving fractional delay differential equations based on the operational matrix method," Chaos, Solitons & Fractals, Elsevier, vol. 147(C).
2. Akinyemi, Lanre & Şenol, Mehmet & Iyiola, Olaniyi S., 2021. "Exact solutions of the generalized multidimensional mathematical physics models via sub-equation method," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 182(C), pages 211-233.
3. Veeresha, P. & Baskonus, Haci Mehmet & Prakasha, D.G. & Gao, Wei & Yel, Gulnur, 2020. "Regarding new numerical solution of fractional Schistosomiasis disease arising in biological phenomena," Chaos, Solitons & Fractals, Elsevier, vol. 133(C).
4. Gao, Wei & Veeresha, P. & Prakasha, D.G. & Baskonus, Haci Mehmet & Yel, Gulnur, 2020. "New approach for the model describing the deathly disease in pregnant women using Mittag-Leffler function," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
5. Ran, Jie & Li, Yu-Qin & Xiong, Yi-Bin, 2022. "On the dynamics of fractional q-deformation chaotic map," Applied Mathematics and Computation, Elsevier, vol. 424(C).
6. Liu, Xianghu & Li, Yanfang & Xu, Guangjun, 2025. "Finite-time synchronization analysis for the generalized Caputo fractional spatio-temporal neural networks," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 230(C), pages 94-110.
7. Zhang, Meihui & Jia, Jinhong & Zheng, Xiangcheng, 2023. "Numerical approximation and fast implementation to a generalized distributed-order time-fractional option pricing model," Chaos, Solitons & Fractals, Elsevier, vol. 170(C).
8. Pundikala Veeresha & Doddabhadrappla Gowda Prakasha & Dumitru Baleanu, 2019. "An Efficient Numerical Technique for the Nonlinear Fractional Kolmogorov–Petrovskii–Piskunov Equation," Mathematics, MDPI, vol. 7(3), pages 1-18, March.
9. Liu, Yiyu & Zhu, Yuanguo & Lu, Ziqiang, 2021. "On Caputo-Hadamard uncertain fractional differential equations," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
10. Nabi, Khondoker Nazmoon & Abboubakar, Hamadjam & Kumar, Pushpendra, 2020. "Forecasting of COVID-19 pandemic: From integer derivatives to fractional derivatives," Chaos, Solitons & Fractals, Elsevier, vol. 141(C).
11. Iyiola, Olaniyi & Oduro, Bismark & Akinyemi, Lanre, 2021. "Analysis and solutions of generalized Chagas vectors re-infestation model of fractional order type," Chaos, Solitons & Fractals, Elsevier, vol. 145(C).
12. Benjemaa, Mondher, 2018. "Taylor’s formula involving generalized fractional derivatives," Applied Mathematics and Computation, Elsevier, vol. 335(C), pages 182-195.
13. Faiz, Zakaria & Zeng, Shengda & Benaissa, Hicham, 2025. "Well-posedness of a class of Caputo–Katugampola fractional sweeping processes," Chaos, Solitons & Fractals, Elsevier, vol. 193(C).
14. Kadak, Ugur, 2022. "Max-product type multivariate sampling operators and applications to image processing," Chaos, Solitons & Fractals, Elsevier, vol. 157(C).
15. Malagi, Naveen S. & Veeresha, P. & Prasannakumara, B.C. & Prasanna, G.D. & Prakasha, D.G., 2021. "A new computational technique for the analytic treatment of time-fractional Emden–Fowler equations," Mathematics and Computers in Simulation (MATCOM), Elsevier, vol. 190(C), pages 362-376.
16. Abdelfattah Mustafa & Reda S. Salama & Mokhtar Mohamed, 2023. "Analysis of Generalized Nonlinear Quadrature for Novel Fractional-Order Chaotic Systems Using Sinc Shape Function," Mathematics, MDPI, vol. 11(8), pages 1-17, April.
17. Faten Fakher Abdulnabi & Hiba F. Al-Janaby & Firas Ghanim & Alina Alb Lupaș, 2023. "Some Results on Third-Order Differential Subordination and Differential Superordination for Analytic Functions Using a Fractional Differential Operator," Mathematics, MDPI, vol. 11(18), pages 1-14, September.
18. Verma, S. & Viswanathan, P., 2018. "A note on Katugampola fractional calculus and fractal dimensions," Applied Mathematics and Computation, Elsevier, vol. 339(C), pages 220-230.
19. Kaviya, R. & Priyanka, M. & Muthukumar, P., 2022. "Mean-square exponential stability of impulsive conformable fractional stochastic differential system with application on epidemic model," Chaos, Solitons & Fractals, Elsevier, vol. 160(C).
20. Samir A. El-Tantawy & Rasool Shah & Albandari W. Alrowaily & Nehad Ali Shah & Jae Dong Chung & Sherif. M. E. Ismaeel, 2023. "A Comparative Study of the Fractional-Order Belousov–Zhabotinsky System," Mathematics, MDPI, vol. 11(7), pages 1-15, April.
21. Omar Kahouli & Assaad Jmal & Omar Naifar & Abdelhameed M. Nagy & Abdellatif Ben Makhlouf, 2022. "New Result for the Analysis of Katugampola Fractional-Order Systems—Application to Identification Problems," Mathematics, MDPI, vol. 10(11), pages 1-17, May.
22. Mousavi, Yashar & Alfi, Alireza, 2018. "Fractional calculus-based firefly algorithm applied to parameter estimation of chaotic systems," Chaos, Solitons & Fractals, Elsevier, vol. 114(C), pages 202-215.
23. Liu, Song & Yang, Ran & Li, Xiaoyan & Xiao, Jian, 2021. "Global attractiveness and consensus for Riemann–Liouville’s nonlinear fractional systems with mixed time-delays," Chaos, Solitons & Fractals, Elsevier, vol. 143(C).
24. Sarita Kumari & Rajesh K. Pandey & Ravi P. Agarwal, 2023. "High-Order Approximation to Generalized Caputo Derivatives and Generalized Fractional Advection–Diffusion Equations," Mathematics, MDPI, vol. 11(5), pages 1-24, February.
25. Yang, Zhanwen & Li, Qi & Yao, Zichen, 2023. "A stability analysis for multi-term fractional delay differential equations with higher order," Chaos, Solitons & Fractals, Elsevier, vol. 167(C).
26. Ren, Jing & Zhai, Chengbo, 2020. "Stability analysis for generalized fractional differential systems and applications," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).