Abbas, Syed; Tyagi, Swati; Kumar, Pushpendra; Ertürk, Vedat Suat; Momani, Shaher Stability and bifurcation analysis of a fractional-order model of cell-to-cell spread of HIV-1 with a discrete time delay. (English) Zbl 07771080 Math. Methods Appl. Sci. 45, No. 11, 7081-7095 (2022). MSC: 92D30 34K37 34K20 34K18 PDFBibTeX XMLCite \textit{S. Abbas} et al., Math. Methods Appl. Sci. 45, No. 11, 7081--7095 (2022; Zbl 07771080) Full Text: DOI
Bhalekar, Sachin; Gupta, Deepa Stability and bifurcation analysis of a fractional order delay differential equation involving cubic nonlinearity. (English) Zbl 1506.34101 Chaos Solitons Fractals 162, Article ID 112483, 9 p. (2022). MSC: 34K37 34K20 34K18 26A33 PDFBibTeX XMLCite \textit{S. Bhalekar} and \textit{D. Gupta}, Chaos Solitons Fractals 162, Article ID 112483, 9 p. (2022; Zbl 1506.34101) Full Text: DOI arXiv
Wang, Xiong; Chen, Guanrong Fractional-order chaotic systems with hidden attractors. (English) Zbl 1510.34023 Wang, Xiong (ed.) et al., Chaotic systems with multistability and hidden attractors. Cham: Springer. Emerg. Complex. Comput. 40, 199-238 (2021). MSC: 34A08 34C28 34D45 26A33 PDFBibTeX XMLCite \textit{X. Wang} and \textit{G. Chen}, Emerg. Complex. Comput. 40, 199--238 (2021; Zbl 1510.34023) Full Text: DOI
Chen, Jungang; Qin, Xi Monotone iterative method for two types of integral boundary value problems of a nonlinear fractional differential system with deviating arguments. (English) Zbl 1477.34103 J. Math. 2021, Article ID 6650811, 8 p. (2021). MSC: 34K37 34B10 34K07 34K10 PDFBibTeX XMLCite \textit{J. Chen} and \textit{X. Qin}, J. Math. 2021, Article ID 6650811, 8 p. (2021; Zbl 1477.34103) Full Text: DOI
Zhang, Zhe; Ai, Zhaoyang; Zhang, Jing; Cheng, Fanyong; Liu, Feng; Ding, Can A general stability criterion for multidimensional fractional-order network systems based on whole oscillation principle for small fractional-order operators. (English) Zbl 1495.34104 Chaos Solitons Fractals 131, Article ID 109506, 10 p. (2020). MSC: 34K20 34A08 34K37 PDFBibTeX XMLCite \textit{Z. Zhang} et al., Chaos Solitons Fractals 131, Article ID 109506, 10 p. (2020; Zbl 1495.34104) Full Text: DOI
Kartal, S.; Gurcan, F. Discretization of conformable fractional differential equations by a piecewise constant approximation. (English) Zbl 1524.65254 Int. J. Comput. Math. 96, No. 9, 1849-1860 (2019). MSC: 65L05 34A08 92D30 PDFBibTeX XMLCite \textit{S. Kartal} and \textit{F. Gurcan}, Int. J. Comput. Math. 96, No. 9, 1849--1860 (2019; Zbl 1524.65254) Full Text: DOI
Bhalekar, Sachin; Patil, Madhuri Can we split fractional derivative while analyzing fractional differential equations? (English) Zbl 1514.34012 Commun. Nonlinear Sci. Numer. Simul. 76, 12-24 (2019). MSC: 34A08 34A30 26A33 33E12 44A10 PDFBibTeX XMLCite \textit{S. Bhalekar} and \textit{M. Patil}, Commun. Nonlinear Sci. Numer. Simul. 76, 12--24 (2019; Zbl 1514.34012) Full Text: DOI arXiv
Mendes, Eduardo M. A. M.; Salgado, Gustavo H. O.; Aguirre, Luis A. Numerical solution of Caputo fractional differential equations with infinity memory effect at initial condition. (English) Zbl 1508.65081 Commun. Nonlinear Sci. Numer. Simul. 69, 237-247 (2019). MSC: 65L05 34A08 PDFBibTeX XMLCite \textit{E. M. A. M. Mendes} et al., Commun. Nonlinear Sci. Numer. Simul. 69, 237--247 (2019; Zbl 1508.65081) Full Text: DOI
Bhalekar, Sachin Analysis of 2-term fractional-order delay differential equations. (English) Zbl 1446.37024 Daftardar-Gejji, Varsha (ed.), Fractional calculus and fractional differential equations. Singapore: Birkhäuser. Trends Math., 59-75 (2019). MSC: 37C10 37C75 26A33 34A08 PDFBibTeX XMLCite \textit{S. Bhalekar}, in: Fractional calculus and fractional differential equations. Singapore: Birkhäuser. 59--75 (2019; Zbl 1446.37024) Full Text: DOI
Li, Bo; Zhou, Xiaobing; Wang, Yun Combination synchronization of three different fractional-order delayed chaotic systems. (English) Zbl 1432.34056 Complexity 2019, Article ID 5184032, 9 p. (2019). MSC: 34C28 34A08 34D06 PDFBibTeX XMLCite \textit{B. Li} et al., Complexity 2019, Article ID 5184032, 9 p. (2019; Zbl 1432.34056) Full Text: DOI
Mohammadzadeh, Ardashir; Ghaemi, Sehraneh; Kaynak, Okyay; mohammadi, Sohrab Khan Robust predictive synchronization of uncertain fractional-order time-delayed chaotic systems. (English) Zbl 1418.34125 Soft Comput. 23, No. 16, 6883-6898 (2019). MSC: 34H10 34A08 93D09 PDFBibTeX XMLCite \textit{A. Mohammadzadeh} et al., Soft Comput. 23, No. 16, 6883--6898 (2019; Zbl 1418.34125) Full Text: DOI
Qin, Xiaoli; Li, Shenggang; Liu, Heng Adaptive fuzzy synchronization of uncertain fractional-order chaotic systems with different structures and time-delays. (English) Zbl 1459.34039 Adv. Difference Equ. 2019, Paper No. 174, 16 p. (2019). MSC: 34A08 26A33 93C42 34K37 PDFBibTeX XMLCite \textit{X. Qin} et al., Adv. Difference Equ. 2019, Paper No. 174, 16 p. (2019; Zbl 1459.34039) Full Text: DOI
Kumar, Pitchaikkannu Suresh; Balachandran, Krishnan; Annapoorani, Natarajan Controllability of nonlinear fractional Langevin delay systems. (English) Zbl 1416.93031 Nonlinear Anal., Model. Control 23, No. 3, 321-340 (2018). MSC: 93B05 93C23 26A33 93C10 PDFBibTeX XMLCite \textit{P. S. Kumar} et al., Nonlinear Anal., Model. Control 23, No. 3, 321--340 (2018; Zbl 1416.93031) Full Text: DOI
Yadav, Vijay K.; Prasad, Ghanshyam; Som, Tanmoy; Das, Subir Combined synchronization of time-delayed chaotic systems with uncertain parameters. (English) Zbl 07811986 Chin. J. Phys., Taipei 55, No. 2, 457-466 (2017). MSC: 93Cxx 37Dxx PDFBibTeX XMLCite \textit{V. K. Yadav} et al., Chin. J. Phys., Taipei 55, No. 2, 457--466 (2017; Zbl 07811986) Full Text: DOI
Li, Tianzeng; Wang, Yu; Li, Hongmei Stability control of fractional chaotic systems based on a simple Lyapunov function. (English) Zbl 1412.93063 J. Nonlinear Sci. Appl. 10, No. 9, 4876-4889 (2017). MSC: 93D05 93D15 PDFBibTeX XMLCite \textit{T. Li} et al., J. Nonlinear Sci. Appl. 10, No. 9, 4876--4889 (2017; Zbl 1412.93063) Full Text: DOI
Sukale, Yogita; Daftardar-Gejji, Varsha New numerical methods for solving differential equations. (English) Zbl 1397.65105 Int. J. Appl. Comput. Math. 3, No. 3, 1639-1660 (2017). MSC: 65L06 PDFBibTeX XMLCite \textit{Y. Sukale} and \textit{V. Daftardar-Gejji}, Int. J. Appl. Comput. Math. 3, No. 3, 1639--1660 (2017; Zbl 1397.65105) Full Text: DOI
Baleanu, Dumitru; Wu, Guo-Cheng; Zeng, Sheng-Da Chaos analysis and asymptotic stability of generalized Caputo fractional differential equations. (English) Zbl 1374.34306 Chaos Solitons Fractals 102, 99-105 (2017). MSC: 34K37 34K23 34D05 34K60 37M05 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Chaos Solitons Fractals 102, 99--105 (2017; Zbl 1374.34306) Full Text: DOI
Joice Nirmala, Rajagopal; Balachandran, Krishnan The controllability of nonlinear implicit fractional delay dynamical systems. (English) Zbl 1373.93065 Int. J. Appl. Math. Comput. Sci. 27, No. 3, 501-513 (2017). MSC: 93B05 93C10 47N70 PDFBibTeX XMLCite \textit{R. Joice Nirmala} and \textit{K. Balachandran}, Int. J. Appl. Math. Comput. Sci. 27, No. 3, 501--513 (2017; Zbl 1373.93065) Full Text: DOI
Pimenov, V. G.; Hendy, A. S. BDF-type shifted Chebyshev approximation scheme for fractional functional differential equations with delay and its error analysis. (English) Zbl 1367.65102 Appl. Numer. Math. 118, 266-276 (2017). MSC: 65L03 34A08 34K28 65L06 65L70 PDFBibTeX XMLCite \textit{V. G. Pimenov} and \textit{A. S. Hendy}, Appl. Numer. Math. 118, 266--276 (2017; Zbl 1367.65102) Full Text: DOI
Wang, Feifei; Chen, Diyi; Zhang, Xinguang; Wu, Yonghong Finite-time stability of a class of nonlinear fractional-order system with the discrete time delay. (English) Zbl 1362.93114 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 48, No. 5, 984-993 (2017). MSC: 93D09 34A08 93C10 93C15 PDFBibTeX XMLCite \textit{F. Wang} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 48, No. 5, 984--993 (2017; Zbl 1362.93114) Full Text: DOI
Deshpande, Amey; Daftardar-Gejji, Varsha Local stable manifold theorem for fractional systems. (English) Zbl 1353.35304 Nonlinear Dyn. 83, No. 4, 2435-2452 (2016). MSC: 35R11 33E12 37L25 PDFBibTeX XMLCite \textit{A. Deshpande} and \textit{V. Daftardar-Gejji}, Nonlinear Dyn. 83, No. 4, 2435--2452 (2016; Zbl 1353.35304) Full Text: DOI
Wardowski, Dariusz Monotone iterative procedure and systems of a finite number of nonlinear fractional differential equations. (English) Zbl 1422.34066 Adv. Difference Equ. 2015, Paper No. 167, 16 p. (2015). MSC: 34A08 34B15 PDFBibTeX XMLCite \textit{D. Wardowski}, Adv. Difference Equ. 2015, Paper No. 167, 16 p. (2015; Zbl 1422.34066) Full Text: DOI
Neamţu, Mihaela; Liţoiu, Anamaria; Strain, Petru C. Integer and fractional general \(T\)-system and its application to control chaos and synchronization. (English) Zbl 1433.34083 Abstr. Appl. Anal. 2015, Article ID 413540, 14 p. (2015). MSC: 34H10 34A08 PDFBibTeX XMLCite \textit{M. Neamţu} et al., Abstr. Appl. Anal. 2015, Article ID 413540, 14 p. (2015; Zbl 1433.34083) Full Text: DOI
Behinfaraz, Reza; Badamchizadeh, Mohammad Ali; Ghiasi, Amir Rikhtegar An approach to achieve modified projective synchronization between different types of fractional-order chaotic systems with time-varying delays. (English) Zbl 1353.34056 Chaos Solitons Fractals 78, 95-106 (2015). MSC: 34D06 34K37 34K20 34H10 93C23 PDFBibTeX XMLCite \textit{R. Behinfaraz} et al., Chaos Solitons Fractals 78, 95--106 (2015; Zbl 1353.34056) Full Text: DOI
Choudhary, Sangita; Daftardar-Gejji, Varsha Existence uniqueness theorems for multi-term fractional delay differential equations. (English) Zbl 1334.34172 Fract. Calc. Appl. Anal. 18, No. 5, 1113-1127 (2015). MSC: 34K37 34K10 47N20 PDFBibTeX XMLCite \textit{S. Choudhary} and \textit{V. Daftardar-Gejji}, Fract. Calc. Appl. Anal. 18, No. 5, 1113--1127 (2015; Zbl 1334.34172) Full Text: DOI
Leung, A. Y. T.; Yang, H. X.; Zhu, P. Periodic bifurcation of Duffing-van der Pol oscillators having fractional derivatives and time delay. (English) Zbl 1457.34106 Commun. Nonlinear Sci. Numer. Simul. 19, No. 4, 1142-1155 (2014). MSC: 34K13 34K07 34K37 34C15 PDFBibTeX XMLCite \textit{A. Y. T. Leung} et al., Commun. Nonlinear Sci. Numer. Simul. 19, No. 4, 1142--1155 (2014; Zbl 1457.34106) Full Text: DOI
Tang, Jianeng Synchronization of different fractional order time-delay chaotic systems using active control. (English) Zbl 1407.34091 Math. Probl. Eng. 2014, Article ID 262151, 11 p. (2014). MSC: 34H10 34D06 93C15 37D45 37N35 PDFBibTeX XMLCite \textit{J. Tang}, Math. Probl. Eng. 2014, Article ID 262151, 11 p. (2014; Zbl 1407.34091) Full Text: DOI
Abedini, Mohammad; Gomroki, Mehdi; Salarieh, Hassan; Meghdari, Ali Identification of 4D Lü hyper-chaotic system using identical systems synchronization and fractional adaptation law. (English) Zbl 1449.37061 Appl. Math. Modelling 38, No. 19-20, 4652-4661 (2014). MSC: 37N35 93D15 93C10 34A08 PDFBibTeX XMLCite \textit{M. Abedini} et al., Appl. Math. Modelling 38, No. 19--20, 4652--4661 (2014; Zbl 1449.37061) Full Text: DOI
Wang, Sha; Yu, Yongguang; Wen, Guoguang Hybrid projective synchronization of time-delayed fractional order chaotic systems. (English) Zbl 1303.37015 Nonlinear Anal., Hybrid Syst. 11, 129-138 (2014). MSC: 37D45 34D06 34A08 70K55 93C10 93D09 PDFBibTeX XMLCite \textit{S. Wang} et al., Nonlinear Anal., Hybrid Syst. 11, 129--138 (2014; Zbl 1303.37015) Full Text: DOI
Liu, Sanyang; Wang, Guotao; Zhang, Lihong Existence results for a coupled system of nonlinear neutral fractional differential equations. (English) Zbl 1308.34103 Appl. Math. Lett. 26, No. 12, 1120-1124 (2013). MSC: 34K37 PDFBibTeX XMLCite \textit{S. Liu} et al., Appl. Math. Lett. 26, No. 12, 1120--1124 (2013; Zbl 1308.34103) Full Text: DOI
Gao, Fei; Lee, Xue-Jing; Tong, Heng-Qing; Fei, Feng-Xia; Zhao, Hua-Ling Identification of unknown parameters and orders via cuckoo search oriented statistically by differential evolution for noncommensurate fractional-order chaotic systems. (English) Zbl 1291.93306 Abstr. Appl. Anal. 2013, Article ID 382834, 19 p. (2013). MSC: 93E11 34H10 34A08 PDFBibTeX XMLCite \textit{F. Gao} et al., Abstr. Appl. Anal. 2013, Article ID 382834, 19 p. (2013; Zbl 1291.93306) Full Text: DOI arXiv
Yuan, Liguo; Yang, Qigui; Zeng, Caibin Chaos detection and parameter identification in fractional-order chaotic systems with delay. (English) Zbl 1281.93037 Nonlinear Dyn. 73, No. 1-2, 439-448 (2013). MSC: 93B30 34C28 34A08 49J15 PDFBibTeX XMLCite \textit{L. Yuan} et al., Nonlinear Dyn. 73, No. 1--2, 439--448 (2013; Zbl 1281.93037) Full Text: DOI
Bhalekar, Sachin; Daftardar-Gejji, Varsha; Baleanu, Dumitru; Magin, Richard Transient chaos in fractional Bloch equations. (English) Zbl 1268.34009 Comput. Math. Appl. 64, No. 10, 3367-3376 (2012). MSC: 34A08 34H10 PDFBibTeX XMLCite \textit{S. Bhalekar} et al., Comput. Math. Appl. 64, No. 10, 3367--3376 (2012; Zbl 1268.34009) Full Text: DOI
Chen, Diyi; Zhang, Runfan; Sprott, Julien Clinton; Ma, Xiaoyi Synchronization between integer-order chaotic systems and a class of fractional-order chaotic system based on fuzzy sliding mode control. (English) Zbl 1268.93092 Nonlinear Dyn. 70, No. 2, 1549-1561 (2012). MSC: 93C42 34A08 34D06 93C15 PDFBibTeX XMLCite \textit{D. Chen} et al., Nonlinear Dyn. 70, No. 2, 1549--1561 (2012; Zbl 1268.93092) Full Text: DOI
Yaghoubi, Zahra; Zarabadipour, Hassan Phase and antiphase synchronization between 3-cell CNN and Volta fractional-order chaotic systems via active control. (English) Zbl 1264.93080 Math. Probl. Eng. 2012, Article ID 121323, 10 p. (2012). MSC: 93C10 34H10 34A08 34D06 PDFBibTeX XMLCite \textit{Z. Yaghoubi} and \textit{H. Zarabadipour}, Math. Probl. Eng. 2012, Article ID 121323, 10 p. (2012; Zbl 1264.93080) Full Text: DOI
Bhalekar, Sachin; Daftardar-Gejji, Varsha; Baleanu, Dumitru; Magin, Richard Generalized fractional order Bloch equation with extended delay. (English) Zbl 1258.34156 Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 4, Paper No. 1250071, 15 p. (2012). MSC: 34K37 65L12 81V35 34K28 PDFBibTeX XMLCite \textit{S. Bhalekar} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 22, No. 4, Paper No. 1250071, 15 p. (2012; Zbl 1258.34156) Full Text: DOI
Bhalekar, Sachin Chaos control and synchronization in fractional-order Lorenz-like system. (English) Zbl 1251.34077 Int. J. Differ. Equ. 2012, Article ID 623234, 16 p. (2012). MSC: 34H10 34A08 34C28 34D06 PDFBibTeX XMLCite \textit{S. Bhalekar}, Int. J. Differ. Equ. 2012, Article ID 623234, 16 p. (2012; Zbl 1251.34077) Full Text: DOI
Yuan, Li-Guo; Yang, Qi-Gui Parameter identification and synchronization of fractional-order chaotic systems. (English) Zbl 1245.93039 Commun. Nonlinear Sci. Numer. Simul. 17, No. 1, 305-316 (2012). MSC: 93B30 93C15 34A08 PDFBibTeX XMLCite \textit{L.-G. Yuan} and \textit{Q.-G. Yang}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 1, 305--316 (2012; Zbl 1245.93039) Full Text: DOI
Wang, Guotao; Agarwal, Ravi P.; Cabada, Alberto Existence results and the monotone iterative technique for systems of nonlinear fractional differential equations. (English) Zbl 1244.34008 Appl. Math. Lett. 25, No. 6, 1019-1024 (2012). MSC: 34A08 34A45 PDFBibTeX XMLCite \textit{G. Wang} et al., Appl. Math. Lett. 25, No. 6, 1019--1024 (2012; Zbl 1244.34008) Full Text: DOI
Bhalekar, Sachin; Daftardar-Gejji, Varsha Synchronization of different fractional order chaotic systems using active control. (English) Zbl 1222.94031 Commun. Nonlinear Sci. Numer. Simul. 15, No. 11, 3536-3546 (2010). MSC: 94A60 37N35 34A08 34H10 PDFBibTeX XMLCite \textit{S. Bhalekar} and \textit{V. Daftardar-Gejji}, Commun. Nonlinear Sci. Numer. Simul. 15, No. 11, 3536--3546 (2010; Zbl 1222.94031) Full Text: DOI