Aouafi, Rabia; Zaidi, Abdelhamid; Kouachi, Said; Parshad, Rana D. A remark on “Dynamical behavior of a fractional three-species food chain model”. (English) Zbl 1525.37091 Nonlinear Dyn. 111, No. 14, 13641-13651 (2023). MSC: 37N25 92D40 26A33 PDFBibTeX XMLCite \textit{R. Aouafi} et al., Nonlinear Dyn. 111, No. 14, 13641--13651 (2023; Zbl 1525.37091) Full Text: DOI
Gholami, Yousef Existence of solutions for a three-point Hadamard fractional resonant boundary value problem. (English) Zbl 1527.34017 J. Appl. Anal. 29, No. 1, 31-47 (2023). Reviewer: Xiping Liu (Shanghai) MSC: 34A08 34B10 34B15 47H11 PDFBibTeX XMLCite \textit{Y. Gholami}, J. Appl. Anal. 29, No. 1, 31--47 (2023; Zbl 1527.34017) Full Text: DOI
Terpák, Ján General one-dimensional model of the time-fractional diffusion-wave equation in various geometries. (English) Zbl 1511.35375 Fract. Calc. Appl. Anal. 26, No. 2, 599-618 (2023). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{J. Terpák}, Fract. Calc. Appl. Anal. 26, No. 2, 599--618 (2023; Zbl 1511.35375) Full Text: DOI
Kim, Valentin Aleksandrovich; Parovik, Roman Ivanovich Implicit finite-difference scheme for a Duffing oscillator with a derivative of variable fractional order of the Riemann-Liouville type. (Russian. English summary) Zbl 07667802 Vestn. KRAUNTS, Fiz.-Mat. Nauki 40, No. 3, 179-198 (2022). MSC: 65Nxx 26A33 34C15 PDFBibTeX XMLCite \textit{V. A. Kim} and \textit{R. I. Parovik}, Vestn. KRAUNTS, Fiz.-Mat. Nauki 40, No. 3, 179--198 (2022; Zbl 07667802) Full Text: DOI MNR
Alkhalaf, Salem; Kumarasamy, Suresh; Arun, Sundaram; Karthikeyan, Anitha; Boulaaras, Salah A fractional difference equation model of a simple neuron map. (English) Zbl 1508.92034 Fractals 30, No. 10, Article ID 2240263, 7 p. (2022). MSC: 92C20 39A60 26A33 PDFBibTeX XMLCite \textit{S. Alkhalaf} et al., Fractals 30, No. 10, Article ID 2240263, 7 p. (2022; Zbl 1508.92034) Full Text: DOI
Hai, Xudong; Yu, Yongguang; Xu, Conghui; Ren, Guojian Stability analysis of fractional differential equations with the short-term memory property. (English) Zbl 1503.34019 Fract. Calc. Appl. Anal. 25, No. 3, 962-994 (2022). MSC: 34A08 34D20 26A33 PDFBibTeX XMLCite \textit{X. Hai} et al., Fract. Calc. Appl. Anal. 25, No. 3, 962--994 (2022; Zbl 1503.34019) Full Text: DOI
Pawłuszewicz, Ewa; Koszewnik, Andrzej; Burzynski, Piotr State feedback law for discrete-time fractional order nonlinear systems. (English) Zbl 1508.93111 Kulczycki, Piotr (ed.) et al., Fractional dynamical systems: methods, algorithms and applications. Cham: Springer. Stud. Syst. Decis. Control 402, 221-245 (2022). MSC: 93B52 93C55 93C10 26A33 PDFBibTeX XMLCite \textit{E. Pawłuszewicz} et al., Stud. Syst. Decis. Control 402, 221--245 (2022; Zbl 1508.93111) Full Text: DOI
Ostalczyk, Piotr; Pawluszewicz, Ewa Fractional systems: theoretical foundations. (English) Zbl 1508.93150 Kulczycki, Piotr (ed.) et al., Fractional dynamical systems: methods, algorithms and applications. Cham: Springer. Stud. Syst. Decis. Control 402, 27-73 (2022). MSC: 93C15 26A33 93D05 93C05 PDFBibTeX XMLCite \textit{P. Ostalczyk} and \textit{E. Pawluszewicz}, Stud. Syst. Decis. Control 402, 27--73 (2022; Zbl 1508.93150) Full Text: DOI
Jafari, Mohsen; Kheiri, Hossein Free terminal time optimal control of a fractional-order model for the HIV/AIDS epidemic. (English) Zbl 1493.92071 Int. J. Biomath. 15, No. 5, Article ID 2250022, 26 p. (2022). MSC: 92D30 26A33 49J15 34D23 PDFBibTeX XMLCite \textit{M. Jafari} and \textit{H. Kheiri}, Int. J. Biomath. 15, No. 5, Article ID 2250022, 26 p. (2022; Zbl 1493.92071) Full Text: DOI
Faree, Taghareed A.; Panchal, Satish K. Fractional boundary value problems with integral boundary conditions via topological degree method. (English) Zbl 1513.34020 J. Math. Res. Appl. 42, No. 2, 145-152 (2022). MSC: 34A08 47H10 47H11 34B15 PDFBibTeX XMLCite \textit{T. A. Faree} and \textit{S. K. Panchal}, J. Math. Res. Appl. 42, No. 2, 145--152 (2022; Zbl 1513.34020) Full Text: DOI
Lan, Kunquan Linear first order Riemann-Liouville fractional differential and perturbed Abel’s integral equations. (English) Zbl 1490.34007 J. Differ. Equations 306, 28-59 (2022); corrigendum ibid. 345, 519-520 (2023). Reviewer: Neville Ford (Chester) MSC: 34A08 26A33 34A12 45D05 PDFBibTeX XMLCite \textit{K. Lan}, J. Differ. Equations 306, 28--59 (2022; Zbl 1490.34007) Full Text: DOI
Wang, Fei; Zheng, Zhaowen; Yang, Yongqing Quasi-synchronization of heterogenous fractional-order dynamical networks with time-varying delay via distributed impulsive control. (English) Zbl 1496.34099 Chaos Solitons Fractals 142, Article ID 110465, 13 p. (2021). MSC: 34H10 34D06 34K37 93C27 PDFBibTeX XMLCite \textit{F. Wang} et al., Chaos Solitons Fractals 142, Article ID 110465, 13 p. (2021; Zbl 1496.34099) Full Text: DOI
Ivanescu, Mircea; Popescu, Nirvana; Popescu, Decebal Physical significance variable control for a class of fractional-order systems. (English) Zbl 1485.93467 Circuits Syst. Signal Process. 40, No. 3, 1525-1541 (2021). MSC: 93D20 26A33 93C23 93C05 93B53 PDFBibTeX XMLCite \textit{M. Ivanescu} et al., Circuits Syst. Signal Process. 40, No. 3, 1525--1541 (2021; Zbl 1485.93467) Full Text: DOI
Si, Xindong; Yang, Hongli Optimization approach to the constrained regulation problem for linear continuous-time fractional-order systems. (English) Zbl 07486826 Int. J. Nonlinear Sci. Numer. Simul. 22, No. 7-8, 827-842 (2021). MSC: 26A33 37C60 34D06 34H05 PDFBibTeX XMLCite \textit{X. Si} and \textit{H. Yang}, Int. J. Nonlinear Sci. Numer. Simul. 22, No. 7--8, 827--842 (2021; Zbl 07486826) Full Text: DOI
Zhang, Rui; Wang, Jinbin; Ma, Lifeng Bifurcation analysis of a fractional-order delayed rolling mill’s main drive electromechanical coupling system. (English) Zbl 1493.34228 Adv. Math. Phys. 2021, Article ID 6358530, 10 p. (2021). MSC: 34K60 70G60 34K18 34K37 34K20 34K13 PDFBibTeX XMLCite \textit{R. Zhang} et al., Adv. Math. Phys. 2021, Article ID 6358530, 10 p. (2021; Zbl 1493.34228) Full Text: DOI
Chen, Yuli; Liu, Fawang; Yu, Qiang; Li, Tianzeng Review of fractional epidemic models. (English) Zbl 1481.92135 Appl. Math. Modelling 97, 281-307 (2021). MSC: 92D30 26A33 34A08 34C60 PDFBibTeX XMLCite \textit{Y. Chen} et al., Appl. Math. Modelling 97, 281--307 (2021; Zbl 1481.92135) Full Text: DOI
Li, Guanlin; Lehman, Brad Averaging theory for fractional differential equations. (English) Zbl 1498.34127 Fract. Calc. Appl. Anal. 24, No. 2, 621-640 (2021). MSC: 34C29 26A33 34A08 PDFBibTeX XMLCite \textit{G. Li} and \textit{B. Lehman}, Fract. Calc. Appl. Anal. 24, No. 2, 621--640 (2021; Zbl 1498.34127) Full Text: DOI
Balci, Ercan; Kartal, Senol; Ozturk, Ilhan Comparison of dynamical behavior between fractional order delayed and discrete conformable fractional order tumor-immune system. (English) Zbl 1469.92039 Math. Model. Nat. Phenom. 16, Paper No. 3, 21 p. (2021). MSC: 92C32 34K37 34K18 PDFBibTeX XMLCite \textit{E. Balci} et al., Math. Model. Nat. Phenom. 16, Paper No. 3, 21 p. (2021; Zbl 1469.92039) Full Text: DOI
Jafari, Mohsen; Kheiri, Hossein; Jabbari, Azizeh Backward bifurcation in a fractional-order and two-patch model of tuberculosis epidemic with incomplete treatment. (English) Zbl 1461.92110 Int. J. Biomath. 14, No. 2, Article ID 2150007, 29 p. (2021). MSC: 92D30 92C60 26A33 34D23 34C23 PDFBibTeX XMLCite \textit{M. Jafari} et al., Int. J. Biomath. 14, No. 2, Article ID 2150007, 29 p. (2021; Zbl 1461.92110) Full Text: DOI
Maji, Chandan; Mukherjee, Debasis Dynamical analysis of a fractional order model incorporating fear in the disease transmission rate of COVID-19. (English) Zbl 1498.92231 Math. Appl. Sci. Eng. 1, No. 3, 207-223 (2020). MSC: 92D30 26A33 34C23 PDFBibTeX XMLCite \textit{C. Maji} and \textit{D. Mukherjee}, Math. Appl. Sci. Eng. 1, No. 3, 207--223 (2020; Zbl 1498.92231) Full Text: DOI
Moustafa, Mahmoud; Mohd, Mohd Hafiz; Ismail, Ahmad Izani; Abdullah, Farah Aini Dynamical analysis of a fractional-order eco-epidemiological model with disease in prey population. (English) Zbl 1487.92050 Adv. Difference Equ. 2020, Paper No. 48, 24 p. (2020). MSC: 92D30 92D40 92D25 26A33 37N25 PDFBibTeX XMLCite \textit{M. Moustafa} et al., Adv. Difference Equ. 2020, Paper No. 48, 24 p. (2020; Zbl 1487.92050) Full Text: DOI
Coronel-Escamilla, Antonio; Gomez-Aguilar, Jose Francisco; Stamova, Ivanka; Santamaria, Fidel Fractional order controllers increase the robustness of closed-loop deep brain stimulation systems. (English) Zbl 1495.92019 Chaos Solitons Fractals 140, Article ID 110149, 10 p. (2020). MSC: 92C20 26A33 34A08 92C50 PDFBibTeX XMLCite \textit{A. Coronel-Escamilla} et al., Chaos Solitons Fractals 140, Article ID 110149, 10 p. (2020; Zbl 1495.92019) Full Text: DOI Link
Gholami, Yousef Existence and uniqueness criteria for the higher-order Hilfer fractional boundary value problems at resonance. (English) Zbl 1486.34026 Adv. Difference Equ. 2020, Paper No. 482, 25 p. (2020). MSC: 34A08 26A33 34B15 47N20 34B10 PDFBibTeX XMLCite \textit{Y. Gholami}, Adv. Difference Equ. 2020, Paper No. 482, 25 p. (2020; Zbl 1486.34026) Full Text: DOI
Naik, Parvaiz Ahmad; Zu, Jian; Owolabi, Kolade M. Global dynamics of a fractional order model for the transmission of HIV epidemic with optimal control. (English) Zbl 1490.37112 Chaos Solitons Fractals 138, Article ID 109826, 24 p. (2020). MSC: 37N25 92D30 26A33 34A08 PDFBibTeX XMLCite \textit{P. A. Naik} et al., Chaos Solitons Fractals 138, Article ID 109826, 24 p. (2020; Zbl 1490.37112) Full Text: DOI
Sekerci, Yadigar Climate change effects on fractional order prey-predator model. (English) Zbl 1483.86004 Chaos Solitons Fractals 134, Article ID 109690, 16 p. (2020). MSC: 86A08 92D25 92D40 34A08 26A33 PDFBibTeX XMLCite \textit{Y. Sekerci}, Chaos Solitons Fractals 134, Article ID 109690, 16 p. (2020; Zbl 1483.86004) Full Text: DOI
Alidousti, Javad; Ghafari, Elham Dynamic behavior of a fractional order prey-predator model with group defense. (English) Zbl 1483.92107 Chaos Solitons Fractals 134, Article ID 109688, 14 p. (2020). MSC: 92D25 26A33 34A08 37N25 PDFBibTeX XMLCite \textit{J. Alidousti} and \textit{E. Ghafari}, Chaos Solitons Fractals 134, Article ID 109688, 14 p. (2020; Zbl 1483.92107) Full Text: DOI
Öztürk, Ilhan; Özköse, Fatma Stability analysis of fractional order mathematical model of tumor-immune system interaction. (English) Zbl 1483.37110 Chaos Solitons Fractals 133, Article ID 109614, 12 p. (2020). MSC: 37N25 92C50 34A08 26A33 PDFBibTeX XMLCite \textit{I. Öztürk} and \textit{F. Özköse}, Chaos Solitons Fractals 133, Article ID 109614, 12 p. (2020; Zbl 1483.37110) Full Text: DOI
Mondal, Shuvojit; Biswas, Milan; Bairagi, Nandadulal Local and global dynamics of a fractional-order predator-prey system with habitat complexity and the corresponding discretized fractional-order system. (English) Zbl 1489.34073 J. Appl. Math. Comput. 63, No. 1-2, 311-340 (2020). MSC: 34C60 34A08 92D25 26A33 34C05 34D20 34C23 39A12 PDFBibTeX XMLCite \textit{S. Mondal} et al., J. Appl. Math. Comput. 63, No. 1--2, 311--340 (2020; Zbl 1489.34073) Full Text: DOI arXiv
Al-khedhairi, Abdulrahman Dynamical study of competition Cournot-like duopoly games incorporating fractional order derivatives and seasonal influences. (English) Zbl 07336602 Int. J. Nonlinear Sci. Numer. Simul. 21, No. 3-4, 339-359 (2020). MSC: 65L05 26A33 34H15 PDFBibTeX XMLCite \textit{A. Al-khedhairi}, Int. J. Nonlinear Sci. Numer. Simul. 21, No. 3--4, 339--359 (2020; Zbl 07336602) Full Text: DOI
Balcı, Ercan; Kartal, Senol; Öztürk, İlhan Fractional order turbidostat model with the discrete delay of digestion. (English) Zbl 1464.34106 Int. J. Appl. Comput. Math. 6, No. 4, Paper No. 96, 12 p. (2020). MSC: 34K60 34K37 92D25 34K21 34K20 34K18 34K13 PDFBibTeX XMLCite \textit{E. Balcı} et al., Int. J. Appl. Comput. Math. 6, No. 4, Paper No. 96, 12 p. (2020; Zbl 1464.34106) Full Text: DOI
Kheiri, Hossein; Jafari, Mohsen Global stability and optimal control of a two-patch tuberculosis epidemic model using fractional-order derivatives. (English) Zbl 1443.92176 Int. J. Biomath. 13, No. 3, Article ID 2050008, 27 p. (2020). MSC: 92D30 34D23 26A33 49J15 PDFBibTeX XMLCite \textit{H. Kheiri} and \textit{M. Jafari}, Int. J. Biomath. 13, No. 3, Article ID 2050008, 27 p. (2020; Zbl 1443.92176) Full Text: DOI
Sene, Ndolane Mittag-Leffler input stability of fractional differential equations and its applications. (English) Zbl 1441.93260 Discrete Contin. Dyn. Syst., Ser. S 13, No. 3, 867-880 (2020). MSC: 93D25 93C15 26A33 PDFBibTeX XMLCite \textit{N. Sene}, Discrete Contin. Dyn. Syst., Ser. S 13, No. 3, 867--880 (2020; Zbl 1441.93260) Full Text: DOI
Datsko, Bohdan Complex dynamics in basic two-component auto-oscillation systems with fractional derivatives of different orders. (English) Zbl 1427.93084 Malinowska, Agnieszka B. (ed.) et al., Advances in non-integer order calculus and its applications. Proceedings of the 10th international conference on non-integer order calculus and its applications, Bialystok University of Technology, Białystok, Poland, September 20–21, 2018. Cham: Springer. Lect. Notes Electr. Eng. 559, 99-112 (2020). MSC: 93C15 93B52 26A33 93C10 PDFBibTeX XMLCite \textit{B. Datsko}, Lect. Notes Electr. Eng. 559, 99--112 (2020; Zbl 1427.93084) Full Text: DOI
Gong, Ping; Wang, Kun; Lan, Weiyao Fully distributed robust consensus control of multi-agent systems with heterogeneous unknown fractional-order dynamics. (English) Zbl 1483.93572 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 50, No. 10, 1902-1919 (2019). MSC: 93D50 93C40 93B35 93A16 26A33 PDFBibTeX XMLCite \textit{P. Gong} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 50, No. 10, 1902--1919 (2019; Zbl 1483.93572) Full Text: DOI
Huong, Dinh Cong Design of functional interval observers for nonlinear fractional-order interconnected systems. (English) Zbl 1483.93218 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 50, No. 15, 2802-2814 (2019). Reviewer: Hector O. Fattorini (Los Angeles) MSC: 93B53 93C20 35L20 35L70 93C15 34G20 26A33 93C10 PDFBibTeX XMLCite \textit{D. C. Huong}, Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 50, No. 15, 2802--2814 (2019; Zbl 1483.93218) Full Text: DOI
Trejo-Zúñiga, Iván; Delfín-Prieto, Sergio M.; Martínez-Guerra, Rafael Fractional controller based on a robust \(PI^\alpha\) observer for uncertain fractional systems. (English) Zbl 1482.93115 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 50, No. 4, 829-842 (2019). MSC: 93B12 93B53 93C15 26A33 PDFBibTeX XMLCite \textit{I. Trejo-Zúñiga} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 50, No. 4, 829--842 (2019; Zbl 1482.93115) Full Text: DOI
Novikova, E. R. Study of the singular points of the fractional oscillator Van der Pol-Duffing. (Russian. English summary) Zbl 1488.34056 Vestn. KRAUNTS, Fiz.-Mat. Nauki 27, No. 2, 47-54 (2019). MSC: 34A08 34C15 34D20 26A33 34B30 34C05 PDFBibTeX XMLCite \textit{E. R. Novikova}, Vestn. KRAUNTS, Fiz.-Mat. Nauki 27, No. 2, 47--54 (2019; Zbl 1488.34056) Full Text: DOI MNR
Fernandez, Arran; Baleanu, Dumitru; Srivastava, H. M. Series representations for fractional-calculus operators involving generalised Mittag-Leffler functions. (English) Zbl 1508.26006 Commun. Nonlinear Sci. Numer. Simul. 67, 517-527 (2019); corrigendum ibid. 82, Article ID 104963, 1 p. (2020). MSC: 26A33 33E12 44A10 PDFBibTeX XMLCite \textit{A. Fernandez} et al., Commun. Nonlinear Sci. Numer. Simul. 67, 517--527 (2019; Zbl 1508.26006) Full Text: DOI arXiv
Jafari, Adeleh Arabzadeh; Mohammadi, Seyed Mohammad Ali; Farsangi, Maliheh Maghfoori; Naseriyeh, Mohsen Hasanpour Observer-based fractional-order adaptive type-2 fuzzy backstepping control of uncertain nonlinear MIMO systems with unknown dead-zone. (English) Zbl 1437.93068 Nonlinear Dyn. 95, No. 4, 3249-3274 (2019). MSC: 93C42 03B52 26A33 PDFBibTeX XMLCite \textit{A. A. Jafari} et al., Nonlinear Dyn. 95, No. 4, 3249--3274 (2019; Zbl 1437.93068) Full Text: DOI
Moroz, L. I.; Maslovskaya, A. G. Hybrid stochastic fractal-based approach to modelling ferroelectrics switching kinetics in injection mode. (Russian. English summary) Zbl 1441.93296 Mat. Model. 31, No. 9, 131-144 (2019). MSC: 93E03 93C30 28A80 93C15 26A33 PDFBibTeX XMLCite \textit{L. I. Moroz} and \textit{A. G. Maslovskaya}, Mat. Model. 31, No. 9, 131--144 (2019; Zbl 1441.93296) Full Text: DOI MNR
Alidousti, J.; Mostafavi Ghahfarokhi, M. Dynamical behavior of a fractional three-species food chain model. (English) Zbl 1432.37115 Nonlinear Dyn. 95, No. 3, 1841-1858 (2019). MSC: 37N25 92D40 26A33 PDFBibTeX XMLCite \textit{J. Alidousti} and \textit{M. Mostafavi Ghahfarokhi}, Nonlinear Dyn. 95, No. 3, 1841--1858 (2019; Zbl 1432.37115) Full Text: DOI
Pratap, A.; Raja, R.; Cao, J.; Lim, C. P.; Bagdasar, O. Stability and pinning synchronization analysis of fractional order delayed Cohen-Grossberg neural networks with discontinuous activations. (English) Zbl 1428.92013 Appl. Math. Comput. 359, 241-260 (2019). MSC: 92B20 34D06 34K35 34K37 93C15 PDFBibTeX XMLCite \textit{A. Pratap} et al., Appl. Math. Comput. 359, 241--260 (2019; Zbl 1428.92013) Full Text: DOI
Fernandez, Arran; Özarslan, Mehmet Ali; Baleanu, Dumitru On fractional calculus with general analytic kernels. (English) Zbl 1428.26011 Appl. Math. Comput. 354, 248-265 (2019). MSC: 26A33 33E12 45D05 PDFBibTeX XMLCite \textit{A. Fernandez} et al., Appl. Math. Comput. 354, 248--265 (2019; Zbl 1428.26011) Full Text: DOI arXiv
Li, T.; Wang, Y.; Liu, F.; Turner, I. Novel parameter estimation techniques for a multi-term fractional dynamical epidemic model of dengue fever. (English) Zbl 1448.92317 Numer. Algorithms 82, No. 4, 1467-1495 (2019). Reviewer: Smail Djebali (Algiers) MSC: 92D30 26A33 34A55 PDFBibTeX XMLCite \textit{T. Li} et al., Numer. Algorithms 82, No. 4, 1467--1495 (2019; Zbl 1448.92317) Full Text: DOI
Yaro, David; Apeanti, Wilson Osafo; Akuamoah, Saviour Worlanyo; Lu, Dianchen Analysis and optimal control of fractional-order transmission of a respiratory epidemic model. (English) Zbl 1426.92088 Int. J. Appl. Comput. Math. 5, No. 4, Paper No. 116, 21 p. (2019). MSC: 92D30 49N90 34D20 26A33 26A24 PDFBibTeX XMLCite \textit{D. Yaro} et al., Int. J. Appl. Comput. Math. 5, No. 4, Paper No. 116, 21 p. (2019; Zbl 1426.92088) Full Text: DOI
Kawala-Janik, Aleksandra; Bauer, Waldemar; Al-Bakri, Amir; Haddix, Chase; Yuvaraj, Rajamanickam; Cichon, Katarzyna; Podraza, Wojciech Implementation of low-pass fractional filtering for the purpose of analysis of electroencephalographic signals. (English) Zbl 1422.92089 Ostalczyk, Piotr (ed.) et al., Non-integer order calculus and its applications. Papers of the 9th international conference on non-integer order calculus and its applications, Łódź, Poland, October 11–13, 2017. Cham: Springer. Lect. Notes Electr. Eng. 496, 63-73 (2019). MSC: 92C55 94A12 26A33 PDFBibTeX XMLCite \textit{A. Kawala-Janik} et al., Lect. Notes Electr. Eng. 496, 63--73 (2019; Zbl 1422.92089) Full Text: DOI
Wang, Dongling; Zou, Jun Dissipativity and contractivity analysis for fractional functional differential equations and their numerical approximations. (English) Zbl 1423.34093 SIAM J. Numer. Anal. 57, No. 3, 1445-1470 (2019). MSC: 34K37 65L03 34K25 34K38 34K28 PDFBibTeX XMLCite \textit{D. Wang} and \textit{J. Zou}, SIAM J. Numer. Anal. 57, No. 3, 1445--1470 (2019; Zbl 1423.34093) Full Text: DOI
Kheiri, H.; Jafari, M. Fractional optimal control of an HIV/AIDS epidemic model with random testing and contact tracing. (English) Zbl 1421.92033 J. Appl. Math. Comput. 60, No. 1-2, 387-411 (2019). MSC: 92D30 92C60 26A33 34D23 49K15 PDFBibTeX XMLCite \textit{H. Kheiri} and \textit{M. Jafari}, J. Appl. Math. Comput. 60, No. 1--2, 387--411 (2019; Zbl 1421.92033) Full Text: DOI
Kheiri, Hossein; Jafari, Mohsen Stability analysis of a fractional order model for the HIV/AIDS epidemic in a patchy environment. (English) Zbl 1401.92186 J. Comput. Appl. Math. 346, 323-339 (2019). MSC: 92D30 49N90 26A33 34D23 PDFBibTeX XMLCite \textit{H. Kheiri} and \textit{M. Jafari}, J. Comput. Appl. Math. 346, 323--339 (2019; Zbl 1401.92186) Full Text: DOI
Mystkowski, Arkadiusz; Zolotas, Argyrios PLC-based discrete fractional-order control design for an industrial-oriented water tank volume system with input delay. (English) Zbl 1421.93062 Fract. Calc. Appl. Anal. 21, No. 4, 1005-1026 (2018). MSC: 93C15 26A33 93B35 93D15 93C80 93C83 PDFBibTeX XMLCite \textit{A. Mystkowski} and \textit{A. Zolotas}, Fract. Calc. Appl. Anal. 21, No. 4, 1005--1026 (2018; Zbl 1421.93062) Full Text: DOI Link
Parovik, R. I. Stability of some dynamic systems hereditarity. (Russian. English summary) Zbl 1408.34059 Vestn. KRAUNTS, Fiz.-Mat. Nauki 2018, No. 2(22), 8-19 (2018). MSC: 34K37 34K28 34K20 PDFBibTeX XMLCite \textit{R. I. Parovik}, Vestn. KRAUNTS, Fiz.-Mat. Nauki 2018, No. 2(22), 8--19 (2018; Zbl 1408.34059) Full Text: DOI MNR
Tvërdyĭ, D. A. The Cauchy problem for the Riccati equation with variable power memory and non-constant coeffcients. (Russian. English summary) Zbl 1408.34056 Vestn. KRAUNTS, Fiz.-Mat. Nauki 2018, No. 3(23), 148-157 (2018). MSC: 34K28 34K37 PDFBibTeX XMLCite \textit{D. A. Tvërdyĭ}, Vestn. KRAUNTS, Fiz.-Mat. Nauki 2018, No. 3(23), 148--157 (2018; Zbl 1408.34056) Full Text: DOI MNR
Li, Hong-Li; Muhammadhaji, Ahmadjan; Zhang, Long; Teng, Zhidong Stability analysis of a fractional-order predator-prey model incorporating a constant prey refuge and feedback control. (English) Zbl 1448.92216 Adv. Difference Equ. 2018, Paper No. 325, 12 p. (2018). MSC: 92D25 26A33 34A08 37N25 PDFBibTeX XMLCite \textit{H.-L. Li} et al., Adv. Difference Equ. 2018, Paper No. 325, 12 p. (2018; Zbl 1448.92216) Full Text: DOI
Fernandez, Arran; Baleanu, Dumitru The mean value theorem and Taylor’s theorem for fractional derivatives with Mittag-Leffler kernel. (English) Zbl 1445.26003 Adv. Difference Equ. 2018, Paper No. 86, 11 p. (2018). MSC: 26A33 33E12 PDFBibTeX XMLCite \textit{A. Fernandez} and \textit{D. Baleanu}, Adv. Difference Equ. 2018, Paper No. 86, 11 p. (2018; Zbl 1445.26003) Full Text: DOI
Wang, Xiong; Ouannas, Adel; Pham, Viet-Thanh; Abdolmohammadi, Hamid Reza A fractional-order form of a system with stable equilibria and its synchronization. (English) Zbl 1445.34028 Adv. Difference Equ. 2018, Paper No. 20, 13 p. (2018). MSC: 34A08 34D06 34H10 26A33 PDFBibTeX XMLCite \textit{X. Wang} et al., Adv. Difference Equ. 2018, Paper No. 20, 13 p. (2018; Zbl 1445.34028) Full Text: DOI
Munoz-Pacheco, J. M.; Zambrano-Serrano, E.; Volos, Ch.; Tacha, O. I.; Stouboulos, I. N.; Pham, V.-T. A fractional order chaotic system with a 3D grid of variable attractors. (English) Zbl 1404.34050 Chaos Solitons Fractals 113, 69-78 (2018). MSC: 34C28 34D45 34K37 PDFBibTeX XMLCite \textit{J. M. Munoz-Pacheco} et al., Chaos Solitons Fractals 113, 69--78 (2018; Zbl 1404.34050) Full Text: DOI
Parovik, Roman Ivanovich Mathematical model of a wide class memory oscillators. (English) Zbl 1513.45024 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 11, No. 2, 108-122 (2018). MSC: 45J05 34A08 26A33 34C15 PDFBibTeX XMLCite \textit{R. I. Parovik}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 11, No. 2, 108--122 (2018; Zbl 1513.45024) Full Text: DOI MNR
Kheiri, Hossein; Jafari, Mohsen Optimal control of a fractional-order model for the HIV/AIDS epidemic. (English) Zbl 1400.92321 Int. J. Biomath. 11, No. 7, Article ID 1850086, 23 p. (2018). MSC: 92C60 26A33 49N90 92D30 PDFBibTeX XMLCite \textit{H. Kheiri} and \textit{M. Jafari}, Int. J. Biomath. 11, No. 7, Article ID 1850086, 23 p. (2018; Zbl 1400.92321) Full Text: DOI
Moustafa, Mahmoud; Mohd, Mohd Hafiz; Ismail, Ahmad Izani; Abdullah, Farah Aini Dynamical analysis of a fractional-order Rosenzweig-MacArthur model incorporating a prey refuge. (English) Zbl 1390.92116 Chaos Solitons Fractals 109, 1-13 (2018). MSC: 92D25 34K37 34K18 37G10 37M05 PDFBibTeX XMLCite \textit{M. Moustafa} et al., Chaos Solitons Fractals 109, 1--13 (2018; Zbl 1390.92116) Full Text: DOI
Dabiri, A.; Moghaddam, B. P.; Machado, J. A. Tenreiro Optimal variable-order fractional PID controllers for dynamical systems. (English) Zbl 1392.49033 J. Comput. Appl. Math. 339, 40-48 (2018). MSC: 93B51 93C05 93B35 34A08 26A33 49J27 37M05 97N50 34H05 PDFBibTeX XMLCite \textit{A. Dabiri} et al., J. Comput. Appl. Math. 339, 40--48 (2018; Zbl 1392.49033) Full Text: DOI
Iyiola, O. S.; Asante-Asamani, E. O.; Wade, B. A. A real distinct poles rational approximation of generalized Mittag-Leffler functions and their inverses: applications to fractional calculus. (English) Zbl 1375.26017 J. Comput. Appl. Math. 330, 307-317 (2018). MSC: 26A33 33E12 PDFBibTeX XMLCite \textit{O. S. Iyiola} et al., J. Comput. Appl. Math. 330, 307--317 (2018; Zbl 1375.26017) Full Text: DOI
Tenreiro Machado, J. A.; Lopes, António M. On the mathematical modeling of soccer dynamics. (English) Zbl 1510.91003 Commun. Nonlinear Sci. Numer. Simul. 53, 142-153 (2017). MSC: 91-10 65L03 34K37 PDFBibTeX XMLCite \textit{J. A. Tenreiro Machado} and \textit{A. M. Lopes}, Commun. Nonlinear Sci. Numer. Simul. 53, 142--153 (2017; Zbl 1510.91003) Full Text: DOI
Charef, Abdelfatah; Charef, Mohamed; Djouambi, Abdelbaki; Voda, Alina New perspectives of analog and digital simulations of fractional order systems. (English) Zbl 1451.93162 Arch. Control Sci. 27, No. 1, 91-118 (2017). MSC: 93C15 26A33 93C62 93-10 PDFBibTeX XMLCite \textit{A. Charef} et al., Arch. Control Sci. 27, No. 1, 91--118 (2017; Zbl 1451.93162) Full Text: DOI
Li, Tianzeng; Wang, Yu; Zhao, Chao Synchronization of fractional chaotic systems based on a simple Lyapunov function. (English) Zbl 1422.34048 Adv. Difference Equ. 2017, Paper No. 304, 19 p. (2017). MSC: 34A08 34D06 26A33 PDFBibTeX XMLCite \textit{T. Li} et al., Adv. Difference Equ. 2017, Paper No. 304, 19 p. (2017; Zbl 1422.34048) Full Text: DOI
Lu, Dianchen; Yue, Chen; Arshad, Muhammad Traveling wave solutions of space-time fractional generalized fifth-order KdV equation. (English) Zbl 1400.35061 Adv. Math. Phys. 2017, Article ID 6743276, 6 p. (2017). MSC: 35C07 35Q53 35R11 PDFBibTeX XMLCite \textit{D. Lu} et al., Adv. Math. Phys. 2017, Article ID 6743276, 6 p. (2017; Zbl 1400.35061) Full Text: DOI
Hajipour, Ahmad; Tavakoli, Hamidreza Dynamic analysis and adaptive sliding mode controller for a chaotic fractional incommensurate order financial system. (English) Zbl 1405.91714 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 13, Article ID 1750198, 14 p. (2017). MSC: 91G80 37D45 93B12 93C40 26A33 PDFBibTeX XMLCite \textit{A. Hajipour} and \textit{H. Tavakoli}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 13, Article ID 1750198, 14 p. (2017; Zbl 1405.91714) Full Text: DOI
Wen, Shao-Fang; Shen, Yong-Jun; Yang, Shao-Pu; Wang, Jun Dynamical response of Mathieu-Duffing oscillator with fractional-order delayed feedback. (English) Zbl 1373.34106 Chaos Solitons Fractals 94, 54-62 (2017). MSC: 34K11 34K37 34K20 34K60 PDFBibTeX XMLCite \textit{S.-F. Wen} et al., Chaos Solitons Fractals 94, 54--62 (2017; Zbl 1373.34106) Full Text: DOI
He, Lin; Wu, Huibin; Mei, Fengxiang Variational integrators for fractional Birkhoffian systems. (English) Zbl 1373.26004 Nonlinear Dyn. 87, No. 4, 2325-2334 (2017). MSC: 26A33 34A08 PDFBibTeX XMLCite \textit{L. He} et al., Nonlinear Dyn. 87, No. 4, 2325--2334 (2017; Zbl 1373.26004) Full Text: DOI
Zhao, Dazhi; Luo, Maokang General conformable fractional derivative and its physical interpretation. (English) Zbl 1375.26020 Calcolo 54, No. 3, 903-917 (2017). MSC: 26A33 34A08 49J50 PDFBibTeX XMLCite \textit{D. Zhao} and \textit{M. Luo}, Calcolo 54, No. 3, 903--917 (2017; Zbl 1375.26020) Full Text: DOI
Giresse, Tene Alain; Crépin, Kofane Timoleon Chaos generalized synchronization of coupled Mathieu-van der Pol and coupled Duffing-van der Pol systems using fractional order-derivative. (English) Zbl 1372.34114 Chaos Solitons Fractals 98, 88-100 (2017). MSC: 34K23 34K37 34D06 34D08 34K60 37M05 PDFBibTeX XMLCite \textit{T. A. Giresse} and \textit{K. T. Crépin}, Chaos Solitons Fractals 98, 88--100 (2017; Zbl 1372.34114) Full Text: DOI
Parovik, Roman Ivanovich Mathematical modelling of hereditarity Airy oscillator with friction. (Russian. English summary) Zbl 1373.37182 Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 10, No. 1, 138-148 (2017). MSC: 37N05 26A33 34A08 65L12 34C15 PDFBibTeX XMLCite \textit{R. I. Parovik}, Vestn. Yuzhno-Ural. Gos. Univ., Ser. Mat. Model. Program. 10, No. 1, 138--148 (2017; Zbl 1373.37182) Full Text: DOI MNR
Ghaziani, Reza Khoshsiar; Alidousti, Javad Stability analysis of a fractional order prey-predator system with nonmonotonic functional response. (English) Zbl 1438.92063 Comput. Methods Differ. Equ. 4, No. 2, 151-161 (2016). MSC: 92D25 34K18 34K20 34K37 PDFBibTeX XMLCite \textit{R. K. Ghaziani} and \textit{J. Alidousti}, Comput. Methods Differ. Equ. 4, No. 2, 151--161 (2016; Zbl 1438.92063) Full Text: Link
Lopes, António M.; Machado, J. A. Tenreiro Application of fractional techniques in the analysis of forest fires. (English) Zbl 1401.94082 Int. J. Nonlinear Sci. Numer. Simul. 17, No. 7-8, 381-390 (2016). MSC: 94A17 26A33 42A38 65T50 PDFBibTeX XMLCite \textit{A. M. Lopes} and \textit{J. A. T. Machado}, Int. J. Nonlinear Sci. Numer. Simul. 17, No. 7--8, 381--390 (2016; Zbl 1401.94082) Full Text: DOI
Coronel-Escamilla, A.; Gómez-Aguilar, J. F.; López-López, M. G.; Alvarado-Martínez, V. M.; Guerrero-Ramírez, G. V. Triple pendulum model involving fractional derivatives with different kernels. (English) Zbl 1372.70049 Chaos Solitons Fractals 91, 248-261 (2016). MSC: 70H03 70H05 34K37 PDFBibTeX XMLCite \textit{A. Coronel-Escamilla} et al., Chaos Solitons Fractals 91, 248--261 (2016; Zbl 1372.70049) Full Text: DOI
Das, Saptarshi; Pan, Indranil; Das, Shantanu Effect of random parameter switching on commensurate fractional order chaotic systems. (English) Zbl 1372.34113 Chaos Solitons Fractals 91, 157-173 (2016). MSC: 34K23 34K37 37H10 65P20 PDFBibTeX XMLCite \textit{S. Das} et al., Chaos Solitons Fractals 91, 157--173 (2016; Zbl 1372.34113) Full Text: DOI arXiv Link
Machado, J. A. Tenreiro; Lopes, António M. The \(N\)-link pendulum: embedding nonlinear dynamics into the multidimensional scaling method. (English) Zbl 1360.70009 Chaos Solitons Fractals 89, 130-138 (2016). MSC: 70E55 70H03 26A33 62H30 PDFBibTeX XMLCite \textit{J. A. T. Machado} and \textit{A. M. Lopes}, Chaos Solitons Fractals 89, 130--138 (2016; Zbl 1360.70009) Full Text: DOI
Balci, Mehmet Ali Fractional virus epidemic model on financial networks. (English) Zbl 1354.91177 Open Math. 14, 1074-1086 (2016). MSC: 91G80 05C82 26A33 90B10 92D30 PDFBibTeX XMLCite \textit{M. A. Balci}, Open Math. 14, 1074--1086 (2016; Zbl 1354.91177) Full Text: DOI
Rezazadeh, Hadi; Aminikhah, Hossein; Sheikhani, A. H. Refahi Stability analysis of hilfer fractional differential systems. (English) Zbl 1345.26015 Math. Commun. 21, No. 1, 45-64 (2016). MSC: 26A33 65L20 PDFBibTeX XMLCite \textit{H. Rezazadeh} et al., Math. Commun. 21, No. 1, 45--64 (2016; Zbl 1345.26015) Full Text: Link
Tang, Xiaojun; Xu, Heyong Fractional pseudospectral integration matrices for solving fractional differential, integral, and integro-differential equations. (English) Zbl 1489.65116 Commun. Nonlinear Sci. Numer. Simul. 30, No. 1-3, 248-267 (2015). MSC: 65L60 34A08 34K37 PDFBibTeX XMLCite \textit{X. Tang} and \textit{H. Xu}, Commun. Nonlinear Sci. Numer. Simul. 30, No. 1--3, 248--267 (2015; Zbl 1489.65116) Full Text: DOI
Wang, Dongling; Xiao, Aiguo; Liu, Hongliang Dissipativity and stability analysis for fractional functional differential equations. (English) Zbl 1348.34136 Fract. Calc. Appl. Anal. 18, No. 6, 1399-1422 (2015). Reviewer: Shaochun Ji (Huaian) MSC: 34K37 34K20 34K38 PDFBibTeX XMLCite \textit{D. Wang} et al., Fract. Calc. Appl. Anal. 18, No. 6, 1399--1422 (2015; Zbl 1348.34136) Full Text: DOI
Rihan, F. A.; Lakshmanan, S.; Hashish, A. H.; Rakkiyappan, R.; Ahmed, E. Fractional-order delayed predator-prey systems with Holling type-II functional response. (English) Zbl 1345.92123 Nonlinear Dyn. 80, No. 1-2, 777-789 (2015). MSC: 92D25 34K37 34K20 PDFBibTeX XMLCite \textit{F. A. Rihan} et al., Nonlinear Dyn. 80, No. 1--2, 777--789 (2015; Zbl 1345.92123) Full Text: DOI
Shen, Yongjun; Yang, Shaopu; Sui, Chuanyi Analysis on limit cycle of fractional-order van der Pol oscillator. (English) Zbl 1349.34019 Chaos Solitons Fractals 67, 94-102 (2014). MSC: 34A08 34K37 34K07 34C60 PDFBibTeX XMLCite \textit{Y. Shen} et al., Chaos Solitons Fractals 67, 94--102 (2014; Zbl 1349.34019) Full Text: DOI
Javidi, M.; Nyamoradi, N. Dynamic analysis of a fractional order prey-predator interaction with harvesting. (English) Zbl 1438.92066 Appl. Math. Modelling 37, No. 20-21, 8946-8956 (2013). MSC: 92D25 26A33 92D40 34D20 34C23 PDFBibTeX XMLCite \textit{M. Javidi} and \textit{N. Nyamoradi}, Appl. Math. Modelling 37, No. 20--21, 8946--8956 (2013; Zbl 1438.92066) Full Text: DOI
Busłowicz, Mikołaj; Makarewicz, Adam Synchronization of the chaotic Ikeda systems of fractional order. (English) Zbl 1276.34064 Mitkowski, Wojciech (ed.) et al., Advances in the theory and applications of non-integer order systems. 5th conference on non-integer order calculus and its applications, Cracow, Poland, July 4–5, 2013. Cham: Springer (ISBN 978-3-319-00932-2/hbk; 978-3-319-00933-9/ebook). Lecture Notes in Electrical Engineering 257, 261-269 (2013). MSC: 34K37 34D06 34K25 PDFBibTeX XMLCite \textit{M. Busłowicz} and \textit{A. Makarewicz}, Lect. Notes Electr. Eng. 257, 261--269 (2013; Zbl 1276.34064) Full Text: DOI
Aghajani, Asadollah; Jalilian, Yaghoub; Trujillo, Juan J. On the existence of solutions of fractional integro-differential equations. (English) Zbl 1279.45008 Fract. Calc. Appl. Anal. 15, No. 1, 44-69 (2012). Reviewer: Iulian Stoleriu (Iaşi) MSC: 45J05 45G10 26A33 PDFBibTeX XMLCite \textit{A. Aghajani} et al., Fract. Calc. Appl. Anal. 15, No. 1, 44--69 (2012; Zbl 1279.45008) Full Text: DOI
El-Sayed, A. M. A.; Ahmed, E.; El-Saka, H. A. A. Dynamic properties of the fractional-order logistic equation of complex variables. (English) Zbl 1246.37074 Abstr. Appl. Anal. 2012, Article ID 251715, 12 p. (2012). MSC: 37F99 37D45 34D06 26A33 37M99 PDFBibTeX XMLCite \textit{A. M. A. El-Sayed} et al., Abstr. Appl. Anal. 2012, Article ID 251715, 12 p. (2012; Zbl 1246.37074) Full Text: DOI
Baleanu, Dumitru; Petras, Ivo; Asad, Jihad H.; Velasco, Maria Pilar Fractional Pais-Uhlenbeck oscillator. (English) Zbl 1284.70035 Int. J. Theor. Phys. 51, No. 4, 1253-1258 (2012). MSC: 70J30 26A33 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Int. J. Theor. Phys. 51, No. 4, 1253--1258 (2012; Zbl 1284.70035) Full Text: DOI