Zhou, Yongtao; Qin, Hongyu; Stynes, Martin A second-order implicit-explicit (IMEX) method on graded meshes for nonlinear time-fractional reaction-subdiffusion problems. (English) Zbl 07978325 Calcolo 62, No. 1, Paper No. 10, 31 p. (2025). MSC: 65-XX 35B65 65M06 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Qi; Han, Renji Dynamics of fractional order predator prey models with refuge and Allee effect in prey: with and without time delay. (English) Zbl 07976554 Qual. Theory Dyn. Syst. 24, No. 1, Paper No. 49, 37 p. (2025). MSC: 34A08 35A02 × Cite Format Result Cite Review PDF Full Text: DOI
Odibat, Zaid Numerical discretization of initial-boundary value problems for PDEs with integer and fractional order time derivatives. (English) Zbl 07954657 Commun. Nonlinear Sci. Numer. Simul. 140, Part 1, Article ID 108331, 12 p. (2025). MSC: 65M06 65N06 65L06 26A33 35R11 45D05 × Cite Format Result Cite Review PDF Full Text: DOI
Abboubakar, Hamadjam; Racke, Reinhard Mathematical modeling of the coronavirus (Covid-19) transmission dynamics using classical and fractional derivatives. (English) Zbl 07923050 Discrete Contin. Dyn. Syst., Ser. B 30, No. 1, 289-329 (2025). MSC: 34C60 92D30 34C11 34C05 34D20 34D05 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Khalighi, Moein; Benedetti, Giulio; Lahti, Leo Algorithm 1047: FdeSolver, a Julia package for solving fractional differential equations. (English) Zbl 07979040 ACM Trans. Math. Softw. 50, No. 3, Article No. 22, 23 p. (2024). MSC: 65-XX × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Weiwei; Ralescu, Dan A.; Zhang, Panpan Valuation of convertible bond based on uncertain fractional differential equation. (English) Zbl 07972614 Fuzzy Optim. Decis. Mak. 23, No. 4, 513-538 (2024). MSC: 91-XX 90-XX × Cite Format Result Cite Review PDF Full Text: DOI
Zhu, Zhen; Lu, Jun-Guo Robust stability and stabilization of continuous-discrete fractional-order 2D Fornasini-Marchesini second model with interval uncertainties. (English) Zbl 07967346 Asian J. Control 26, No. 6, 3054-3066 (2024). MSC: 93-XX × Cite Format Result Cite Review PDF Full Text: DOI
Rajan, Praveen Kumar; Kuppusamy, Murugesan A fractional order human papillomavirus model with Caputo derivative. (English) Zbl 07964306 J. Anal. 32, No. 4, 2135-2156 (2024). MSC: 92B05 93A30 93C15 26A33 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Baishya, Chandrali; Naik, Manisha Krishna; Premakumari, R. N. Rumor spread dynamics and its sensitivity analysis under the influence of the Caputo fractional derivatives. (English) Zbl 07961504 Comput. Methods Differ. Equ. 12, No. 2, 236-265 (2024). MSC: 26A33 34A34 34C11 34D05 92D30 × Cite Format Result Cite Review PDF Full Text: DOI
Bouallala, Mustapha Weak solvability and numerical analysis of a class of time-fractional hemivariational inequalities with application to frictional contact problems. (English) Zbl 07953648 Appl. Math., Praha 69, No. 4, 451-479 (2024). MSC: 35L15 35L86 35L87 74Hxx 74M10 74D10 74S05 × Cite Format Result Cite Review PDF Full Text: DOI
Bondi, Alessandro; Pulido, Sergio; Scotti, Simone The rough Hawkes Heston stochastic volatility model. (English) Zbl 07947061 Math. Finance 34, No. 4, 1197-1241 (2024). MSC: 91G20 91B70 60G55 60J74 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Odibat, Zaid Numerical simulation for an initial-boundary value problem of time-fractional Klein-Gordon equations. (English) Zbl 07944856 Appl. Numer. Math. 206, 1-11 (2024). MSC: 65Mxx 35Rxx 26Axx × Cite Format Result Cite Review PDF Full Text: DOI
Joshi, Hardik; Yavuz, Mehmet; Özdemir, Necati Analysis of novel fractional order plastic waste model and its effects on air pollution with treatment mechanism. (English) Zbl 1547.34015 J. Appl. Anal. Comput. 14, No. 6, 3078-3098 (2024). MSC: 34A08 34A34 34D20 39A30 91B76 × Cite Format Result Cite Review PDF Full Text: DOI
Xie, Yanyun; Cai, Wenliang; Wang, Jing Stability and synchronization of a fractional-order unified system with complex variables. (English) Zbl 1545.34010 Discrete Dyn. Nat. Soc. 2024, Article ID 2728661, 10 p. (2024). MSC: 34A08 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
El-Saka, H. A. A.; El-Sherbeny, D. El. A.; El-Sayed, A. M. A. Dynamic analysis of the fractional-order logistic equation with two different delays. (English) Zbl 07910916 Comput. Appl. Math. 43, No. 6, Paper No. 369, 17 p. (2024). MSC: 26A33 34A08 34K37 92-10 91B62 03C45 65H05 × Cite Format Result Cite Review PDF Full Text: DOI
Lenka, Bichitra Kumar New asymptotic stability theory for real order systems and applications. (English) Zbl 1544.34104 J. Franklin Inst. 361, No. 14, Article ID 107106, 14 p. (2024). MSC: 34D20 34A08 93C28 93D20 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Conghui; Yu, Yongguang; Ren, Guojian; Si, Xinhui Optimal control and bifurcation analysis of a delayed fractional-order SIRS model with general incidence rate and delayed control. (English) Zbl 1544.92207 Nonlinear Anal., Model. Control 29, No. 5, 890-913 (2024). MSC: 92D30 34K20 34K37 34K18 × Cite Format Result Cite Review PDF Full Text: DOI
Jha, Navnit; Yadav, Akash; Pandey, Ritesh; Misra, A. K. Analyzing crop production: unraveling the impact of pests and pesticides through a fractional model. (English) Zbl 1544.92223 Nonlinear Anal., Model. Control 29, No. 5, 858-877 (2024). MSC: 92D45 34A34 34A08 34D20 × Cite Format Result Cite Review PDF Full Text: DOI
Salah, Esam Y.; Sontakke, Bhausaheb; Abdo, Mohammed S.; Shatanawi, Wasfi; Abodayeh, Kamaleldin; Albalwi, M. Daher Conformable fractional-order modeling and analysis of HIV/AIDS transmission dynamics. (English) Zbl 07905671 Int. J. Differ. Equ. 2024, Article ID 1958622, 16 p. (2024). Reviewer: Attila Dénes (Szeged) MSC: 92D30 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Hu, Xinghua; Liu, Yingyue Stability analysis of a fractional-order \(SIV_1V_2S\) epidemic model for the COVID-19 pandemic. (English) Zbl 1542.92159 Commun. Nonlinear Sci. Numer. Simul. 138, Article ID 108183, 19 p. (2024). MSC: 92D30 92C60 34A08 34D23 × Cite Format Result Cite Review PDF Full Text: DOI
Khirsariya, Sagar R.; Yeolekar, Mahesh A.; Yeolekar, Bijal M.; Chauhan, Jignesh P. Fractional-order rat bite fever model: a mathematical investigation into the transmission dynamics. (English) Zbl 1542.92162 J. Appl. Math. Comput. 70, No. 4, 3851-3878 (2024). MSC: 92D30 34A08 34D20 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Nan; Yang, Hongli; Yang, Liangui Delay induced Hopf bifurcation and its control in a fractional p53 protein oscillator model. (English) Zbl 1547.34122 Physica D 467, Article ID 134281, 13 p. (2024). MSC: 34K60 34K37 92C37 34K21 34K20 34K18 34K13 34K35 × Cite Format Result Cite Review PDF Full Text: DOI
Alfeus, Mesias; Nikitopoulos, Christina S.; Overbeck, Ludger Implied roughness in the term structure of oil market volatility. (English) Zbl 1545.91302 Quant. Finance 24, No. 3-4, 347-363 (2024). MSC: 91G20 91G30 60G22 × Cite Format Result Cite Review PDF Full Text: DOI
Demirci, Elif; Karakoç, Fatma; Kütahyalıoglu, Aysen Mittag-Leffler stability of neural networks with Caputo-Hadamard fractional derivative. (English) Zbl 07883072 Math. Methods Appl. Sci. 47, No. 12, 10091-10100 (2024). MSC: 34A08 93D23 92B20 × Cite Format Result Cite Review PDF Full Text: DOI
He, Liu; Zhu, Yuanguo; Lu, Ziqiang A cubic spline interpolation based numerical method for fractional differential equations. (English) Zbl 07882622 J. Ind. Manag. Optim. 20, No. 8, 2770-2794 (2024). MSC: 34A08 34A45 × Cite Format Result Cite Review PDF Full Text: DOI
Bensimessaoud, Soumia; Kaouache, Smail; Abdelouahab, Mohammed Salah Chaos combination anti-synchronization of some fractional-order uncertain chaotic systems perturbed by some random noise. (English) Zbl 1546.34095 Dyn. Contin. Discrete Impuls. Syst., Ser. A, Math. Anal. 31, No. 3, 199-211 (2024). MSC: 34C28 34A08 34D06 34D20 34H10 93C40 × Cite Format Result Cite Review PDF Full Text: Link
Hamou, A. Alla; Azroul, E.; L’Kima, S. The effect of migration on the transmission of HIV/AIDS using a fractional model: local and global dynamics and numerical simulations. (English) Zbl 07871689 Math. Methods Appl. Sci. 47, No. 8, 6868-6891 (2024). MSC: 92D30 34A08 26A33 37N25 × Cite Format Result Cite Review PDF Full Text: DOI
Achar, Sindhu J.; K, Geetha N. Dynamics of fractional plant virus propagation model with influence of seasonality and intraspecific competition. (English) Zbl 1547.92032 Math. Methods Appl. Sci. 47, No. 7, 6415-6430 (2024). MSC: 92D30 92D25 34A08 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Eid, Hind Ali Ahmad; Alkord, Mohammed N. Impact of fractional conformable derivatives on A(H1N1) infection model. (English) Zbl 1541.92085 Nonlinear Funct. Anal. Appl. 29, No. 2, 597-620 (2024). MSC: 92D30 34B15 34A08 47H10 × Cite Format Result Cite Review PDF Full Text: Link
Otenova, Aĭsanem Zhebegenovna; Parovik, Roman Ivanovich Mathematical model of a fractional nonlinear Mathieu oscillator. (Russian. English summary) Zbl 07864146 Vestn. KRAUNTS, Fiz.-Mat. Nauki 46, No. 1, 70-88 (2024). MSC: 65P10 34C15 34A08 65L05 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Liu, Hanjie; Zhu, Yuanguo; He, Liu Extreme values of solution of Caputo-Hadamard uncertain fractional differential equation and applications. (English) Zbl 1547.91026 Math. Methods Appl. Sci. 47, No. 6, 4105-4121 (2024). MSC: 91G20 34A08 91G60 × Cite Format Result Cite Review PDF Full Text: DOI
Odibat, Zaid; Baleanu, Dumitru Numerical simulation of nonlinear fractional delay differential equations with Mittag-Leffler kernels. (English) Zbl 1545.65276 Appl. Numer. Math. 201, 550-560 (2024). MSC: 65L03 34K37 × Cite Format Result Cite Review PDF Full Text: DOI
Ain, Qura Tul; Khan, Aziz; Abdeljawad, Thabet; Gómez-Aguilar, J. F.; Riaz, Saleem Dynamical study of varicella-zoster virus model in sense of Mittag-Leffler kernel. (English) Zbl 1543.92049 Int. J. Biomath. 17, No. 3, Article ID 2350027, 31 p. (2024). MSC: 92D30 92C60 33E12 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Ali, Liaqat; Zou, Guang; Li, Na; Mehmood, Kashif; Fang, Pan; Khan, Adnan Analytical treatments of time-fractional seventh-order nonlinear equations via Elzaki transform. (English) Zbl 1537.35358 J. Eng. Math. 145, Paper No. 1, 30 p. (2024). MSC: 35R11 35A20 26A33 34A25 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Azroul, E.; Diki, G.; Guedda, M. Exploring the interplay between memory effects and vesicle dynamics: a five-dimensional analysis using rigid sphere models and mapping techniques. (English) Zbl 1536.92037 Stud. Appl. Math. 152, No. 1, 431-452 (2024). MSC: 92C37 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Bibi, Amna; ur Rehman, Mujeeb A numerical method for solutions of tempered fractional differential equations. (English) Zbl 07834884 J. Comput. Appl. Math. 443, Article ID 115772, 22 p. (2024). MSC: 65Lxx 34A08 26A33 × Cite Format Result Cite Review PDF Full Text: DOI
Chen, Liang; Ma, Junjie Solve Riemann-Liouville boundary value problems using collocation boundary value methods with the graded mesh. (English) Zbl 1536.65076 J. Comput. Appl. Math. 443, Article ID 115762, 12 p. (2024). MSC: 65L10 34A08 65R20 × Cite Format Result Cite Review PDF Full Text: DOI
Tassaddiq, Asifa; Qureshi, Sania; Soomro, Amanullah; Arqub, Omar Abu; Senol, Mehmet Comparative analysis of classical and Caputo models for COVID-19 spread: vaccination and stability assessment. (English) Zbl 07833567 Fixed Point Theory Algorithms Sci. Eng. 2024, Paper No. 2, 23 p. (2024). MSC: 47-XX 54-XX × Cite Format Result Cite Review PDF Full Text: DOI
Sivalingam, S. M.; Kumar, Pushpendra; Trinh, Hieu; Govindaraj, V. A novel L1-predictor-corrector method for the numerical solution of the generalized-Caputo type fractional differential equations. (English) Zbl 1540.65200 Math. Comput. Simul. 220, 462-480 (2024). MSC: 65L05 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Beddrich, Jonas; Süli, Endre; Wohlmuth, Barbara Numerical simulation of the time-fractional Fokker-Planck equation and applications to polymeric fluids. (English) Zbl 07811300 J. Comput. Phys. 497, Article ID 112598, 18 p. (2024). MSC: 35Qxx 65Mxx 82Cxx × Cite Format Result Cite Review PDF Full Text: DOI
Danca, Marius-F. Chaotic hidden attractor in a fractional order system modeling the interaction between dark matter and dark energy. (English) Zbl 07810036 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107838, 11 p. (2024). MSC: 26Axx 34Axx 34Dxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lenka, Bichitra Kumar; Upadhyay, Ranjit Kumar New results on dynamic output state feedback stabilization of some class of time-varying nonlinear Caputo derivative systems. (English) Zbl 1533.93599 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107805, 20 p. (2024). MSC: 93D15 93D20 93C15 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Zheqi; Liu, Peter X.; Ling, Song; Wang, Huanqing Adaptive finite-time synchronisation of variable-order fractional chaotic systems for secure communication. (English) Zbl 1534.93261 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 55, No. 2, 317-331 (2024). MSC: 93C40 93D40 93C15 34A08 34H10 × Cite Format Result Cite Review PDF Full Text: DOI
Kumar, Sunil; Chauhan, R. P.; Momani, Shaher; Hadid, Samir Numerical investigations on COVID-19 model through singular and non-singular fractional operators. (English) Zbl 1531.92015 Numer. Methods Partial Differ. Equations 40, No. 1, Article ID e22707, 53 p. (2024). MSC: 92-10 34A08 65L05 92D30 × Cite Format Result Cite Review PDF Full Text: DOI
Adelakun, Adedayo O.; Ogunjo, Samuel T. Active control and electronic simulation of a novel fractional order chaotic jerk system. (English) Zbl 1533.34037 Commun. Nonlinear Sci. Numer. Simul. 130, Article ID 107734, 16 p. (2024). MSC: 34C60 94C60 34C28 34A08 34H05 34D06 34D20 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Zhou, Yongtao; Li, Cui; Stynes, Martin A fast second-order predictor-corrector method for a nonlinear time-fractional Benjamin-Bona-Mahony-Burgers equation. (English) Zbl 1531.65134 Numer. Algorithms 95, No. 2, 693-720 (2024). MSC: 65M06 35Q53 35R11 65L05 65L12 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Du, Yuru; Meng, Lin; Lin, Lifeng; Wang, Huiqi Resonant behaviors of two coupled fluctuating-frequency oscillators with tempered Mittag-Leffler memory kernel. (English) Zbl 07791917 Physica A 633, Article ID 129434, 12 p. (2024). MSC: 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Kazmi, Kamran A fast and high-order IMEX method for non-linear time-space-fractional reaction-diffusion equations. (English) Zbl 1531.65109 Numer. Algorithms 95, No. 1, 243-266 (2024). MSC: 65M06 65N06 65M70 65T50 65B05 65M12 26A33 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Chakraborty, Arkaprovo; Veeresha, P. Effects of global warming, time delay and chaos control on the dynamics of a chaotic atmospheric propagation model within the frame of Caputo fractional operator. (English) Zbl 1530.34043 Commun. Nonlinear Sci. Numer. Simul. 128, Article ID 107657, 23 p. (2024). MSC: 34C60 34A08 86A08 34H10 34C05 34D20 34C23 34D08 × Cite Format Result Cite Review PDF Full Text: DOI
Yang, Xujun; Wu, Xiang; Song, Qiankun Caputo-Wirtinger integral inequality and its application to stability analysis of fractional-order systems with mixed time-varying delays. (English) Zbl 1545.93513 Appl. Math. Comput. 460, Article ID 128303, 12 p. (2024). MSC: 93D05 35R11 93C43 × Cite Format Result Cite Review PDF Full Text: DOI
Lenka, Bichitra Kumar; Bora, Swaroop Nandan Nonnegativity, convergence and bounds of non-homogeneous linear time-varying real-order systems with application to electrical circuit system. (English) Zbl 07957462 Circuits Syst. Signal Process. 42, No. 9, 5207-5232 (2023). MSC: 34K37 34K20 34K35 93C05 93D20 × Cite Format Result Cite Review PDF Full Text: DOI
Diethelm, Kai A new diffusive representation for fractional derivatives. I: Construction, implementation and numerical examples. (English) Zbl 07920767 Cardone, Angelamaria (ed.) et al., Fractional differential equations. Modeling, discretization, and numerical solvers. Based on the presentations at the INdAM workshop, Rome, Italy, July 12–14, 2021. Cham: Springer. Springer INdAM Ser. 50, 1-15 (2023). MSC: 65Lxx 26A33 34A08 35R11 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abd-Elmonem, Assmaa; Banerjee, Ramashis; Ahmad, Shabir; Jamshed, Wasim; Nisar, Kottakkaran Sooppy; Eid, Mohamed R.; Ibrahim, Rabha W.; El Din, Sayed M. A comprehensive review on fractional-order optimal control problem and its solution. (English) Zbl 1548.49025 Open Math. 21, Article ID 20230105, 35 p. (2023). MSC: 49J99 34A08 35R11 35G15 49M41 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Changjin; Mu, Dan; Aouiti, Chaouki; Liu, Zixin; Qin, Qiwen; Yao, Lingyun; Hou, Ming Bifurcation anti-control technique in a fractional-order stable finance model. (English) Zbl 07889057 Asian J. Control 25, No. 2, 1061-1073 (2023). MSC: 93-XX × Cite Format Result Cite Review PDF Full Text: DOI
Naik, Manisha Krishna; Baishya, Chandrali; Veeresha, Pundikala; Baleanu, Dumitru Design of a fractional-order atmospheric model via a class of ACT-like chaotic system and its sliding mode chaos control. (English) Zbl 07881256 Chaos 33, No. 2, Article ID 023129, 29 p. (2023). MSC: 37-XX 34-XX × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yejuan; Wei, Zhiqiang; Feng, Guolin Attractor radius for fractional Lorenz systems and their application to the quantification of predictability limits. (English) Zbl 07880547 Chaos 33, No. 1, Article ID 013105, 14 p. (2023). MSC: 37-XX 34-XX × Cite Format Result Cite Review PDF Full Text: DOI
Ngueuteu Mbouna, S. G.; Banerjee, Tanmoy; Schöll, Eckehard; Yamapi, René Effect of fractional derivatives on amplitude chimeras and symmetry-breaking death states in networks of limit-cycle oscillators. (English) Zbl 1544.34072 Chaos 33, No. 6, 063137, 16 p. (2023). MSC: 34C15 34A08 26A33 34C60 34D06 × Cite Format Result Cite Review PDF Full Text: DOI
Tanekou, Sosthene Tsamene; Ramadoss, Janarthanan; Kengne, Jacques; Kenmoe, Germaine Djuidje; Rajagopal, Karthikeyan Coexistence of periodic, chaotic and hyperchaotic attractors in a system consisting of a Duffing oscillator coupled to a van der Pol oscillator. (English) Zbl 1544.34081 Int. J. Bifurcation Chaos Appl. Sci. Eng. 33, No. 2, Article ID 2330004, 31 p. (2023). MSC: 34C15 34C23 94C05 34D06 × Cite Format Result Cite Review PDF Full Text: DOI
Parovik, Roman Ivanovich Qualitative analysis of Selkov’s fractional dynamical system with variable memory using a modified test 0-1 algorithm. (Russian. English summary) Zbl 07831234 Vestn. KRAUNTS, Fiz.-Mat. Nauki 45, No. 4, 9-23 (2023). MSC: 37M99 65L05 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Parovik, Roman Ivanovich Implementation of the modified test 0-1 algorithm for the analysis of chaotic modes of the fractional Duffing oscillator. (Russian. English summary) Zbl 07823386 Vestn. KRAUNTS, Fiz.-Mat. Nauki 44, No. 3, 67-85 (2023). MSC: 37M10 34A08 34C28 65L05 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Soukkou, Ammar; Soukkou, Yassine; Haddad, Sofiane; Benghanem, Mohamed; Rabhi, Abdelhamid Review, design, stabilization and synchronization of fractional-order energy resources demand-supply hyperchaotic systems using fractional-order PD-based feedback control scheme. (English) Zbl 1533.93572 Arch. Control Sci. 33, No. 3, 539-563 (2023). MSC: 93D05 93B52 26A33 34H10 90C59 × Cite Format Result Cite Review PDF Full Text: DOI
Zerari, Amina; Odibat, Zaid; Shawagfeh, Nabil On the formulation of a predictor-corrector method to model IVPs with variable-order Liouville-Caputo-type derivatives. (English) Zbl 1537.34019 Math. Methods Appl. Sci. 46, No. 18, 19100-19114 (2023). MSC: 34A08 37M05 65L05 × Cite Format Result Cite Review PDF Full Text: DOI
Amira, Rami; Hannachi, Fareh A novel fractional-order chaotic system and its synchronization via adaptive control method. (English) Zbl 1549.34160 Nonlinear Dyn. Syst. Theory 23, No. 4, 359-366 (2023). MSC: 34D06 34D08 34C28 37D45 34A08 93C40 × Cite Format Result Cite Review PDF Full Text: Link
Karthikeyan, Subramaniyam; Ramesh, Perumal; Sambath, Muniyagounder Stability analysis of fractional-order predator-prey model with anti-predator behaviour and prey refuge. (English) Zbl 1549.92055 J. Math. Model. 11, No. 3, 527-546 (2023). MSC: 92D25 34A08 34C23 34D23 65L07 × Cite Format Result Cite Review PDF Full Text: DOI
Al-Saedi, Akeel A.; Rashidinia, Jalil Application of the B-spline Galerkin approach for approximating the time-fractional Burger’s equation. (English) Zbl 1532.65073 Electron. Res. Arch. 31, No. 7, 4248-4265 (2023). MSC: 65M60 65D07 65M15 26A33 35R11 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Baroudi, Sami; Elomari, M.’hamed; El Mfadel, Ali; Kassidi, Abderrazak Numerical solutions of the integro-partial fractional diffusion heat equation involving tempered \(\psi \)-Caputo fractional derivative. (English) Zbl 1535.65125 J. Math. Sci., New York 271, No. 4, Series A, 555-567 (2023). MSC: 65M06 35K51 35R09 35R11 45K05 65R20 × Cite Format Result Cite Review PDF Full Text: DOI
Mahmoud, Gamal M.; Khalaf, Hesham; Darwish, Mohamed M.; Abed-Elhameed, Tarek M. On the fractional-order simplified Lorenz models: dynamics, synchronization, and medical image encryption. (English) Zbl 1538.34051 Math. Methods Appl. Sci. 46, No. 14, 15706-15725 (2023). MSC: 34A34 34D06 34C28 94A60 34A08 34D05 34C05 × Cite Format Result Cite Review PDF Full Text: DOI
Ma, Fugui; Zhao, Lijing; Wang, Yejuan; Deng, Weihua The contour integral method for Feynman-Kac equation with two internal states. (English) Zbl 1538.44002 Comput. Math. Appl. 151, 80-100 (2023). MSC: 44A10 26A33 65R20 65M15 65M12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kumar, Sunil; Chauhan, Ram P.; Osman, Mohamed S.; Mohiuddine, S. A. A study on fractional HIV-AIDs transmission model with awareness effect. (English) Zbl 1532.92099 Math. Methods Appl. Sci. 46, No. 7, 8334-8348 (2023). MSC: 92D30 34A08 34A12 × Cite Format Result Cite Review PDF Full Text: DOI
Singh, Abhishek Kumar; Mehra, Mani; Gulyani, Samarth A modified variable-order fractional SIR model to predict the spread of COVID-19 in India. (English) Zbl 1538.65182 Math. Methods Appl. Sci. 46, No. 7, 8208-8222 (2023). MSC: 65L05 34A08 34C60 92D30 × Cite Format Result Cite Review PDF Full Text: DOI
Alderremy, Aisha A.; Saad, Khaled M.; Gómez-Aguilar, José Francisco; Aly, Shaban; Kumar, Devendra; Singh, Jagdev New models of fractional blood ethanol and two-cell cubic autocatalator reaction equations. (English) Zbl 1532.92044 Math. Methods Appl. Sci. 46, No. 7, 7767-7778 (2023). MSC: 92C45 35R11 × Cite Format Result Cite Review PDF Full Text: DOI
Li, Zhiming; Ma, Weiyuan; Ma, Nuri Partial topology identification of tempered fractional-order complex networks via synchronization method. (English) Zbl 1533.34014 Math. Methods Appl. Sci. 46, No. 3, 3066-3079 (2023). MSC: 34A08 26A33 92B20 05C82 93B20 34D06 × Cite Format Result Cite Review PDF Full Text: DOI
Owoyemi, Abiodun Ezekiel; Sulaiman, Ibrahim Mohammed; Kumar, Pushpendra; Govindaraj, Venkatesan; Mamat, Mustafa Some novel mathematical analysis on the fractional-order 2019-nCoV dynamical model. (English) Zbl 1532.92106 Math. Methods Appl. Sci. 46, No. 4, 4466-4474 (2023). MSC: 92D30 26A33 34D20 × Cite Format Result Cite Review PDF Full Text: DOI
Lenka, Bichitra Kumar; Bora, Swaroop Nandan Convergence criteria for nonhomogeneous linear nonautonomous real-order time-delay systems. (English) Zbl 1538.34285 Math. Methods Appl. Sci. 46, No. 4, 4331-4351 (2023). MSC: 34K25 34K06 34K35 93B52 × Cite Format Result Cite Review PDF Full Text: DOI
Singh, Abhishek Kumar; Mehra, Mani; Gulyani, Samarth Learning parameters of a system of variable order fractional differential equations. (English) Zbl 07776993 Numer. Methods Partial Differ. Equations 39, No. 3, 1962-1976 (2023). MSC: 65-XX 35-XX × Cite Format Result Cite Review PDF Full Text: DOI
Ramesh, K.; Kumar, G. Ranjith; Nisar, Kottakkaran Sooppy A nonlinear mathematical model on the dynamical study of a fractional-order delayed predator-prey scheme that incorporates harvesting together and Holling type-II functional response. (English) Zbl 1530.92189 Results Appl. Math. 19, Article ID 100390, 12 p. (2023). Reviewer: Fengde Chen (Fuzhou) MSC: 92D25 34C23 34K37 × Cite Format Result Cite Review PDF Full Text: DOI
Lenka, Bichitra Kumar; Bora, Swaroop Nandan New criteria for asymptotic stability of a class of nonlinear real-order time-delay systems. (English) Zbl 1523.34082 Nonlinear Dyn. 111, No. 5, 4469-4484 (2023). MSC: 34K37 34K20 34K35 93C10 93D20 × Cite Format Result Cite Review PDF Full Text: DOI
Diethelm, Kai; Uhlig, Frank A new approach to shooting methods for terminal value problems of fractional differential equations. (English) Zbl 1526.65032 J. Sci. Comput. 97, No. 2, Paper No. 38, 29 p. (2023). MSC: 65L10 34A08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lenka, Bichitra Kumar; Bora, Swaroop Nandan Limiting behaviour of non-autonomous Caputo-type time-delay systems and initial-time on the real number line. (English) Zbl 1549.34215 Comput. Appl. Math. 42, No. 7, Paper No. 313, 16 p. (2023). MSC: 34K25 34K20 34K24 34K37 93D20 × Cite Format Result Cite Review PDF Full Text: DOI
García Guirao, Juan Luis; Alsulami, Mansoor; Baskonus, Haci Mehmet; Ilhan, Esin; Veeresha, P. Analysis of nonlinear compartmental model using a reliable method. (English) Zbl 1540.34017 Math. Comput. Simul. 214, 133-151 (2023). MSC: 34A08 65L05 91F10 × Cite Format Result Cite Review PDF Full Text: DOI
Xu, Conghui; Yu, Yongguang; Ren, Guojian; Sun, Yuqin; Si, Xinhui Stability analysis and optimal control of a fractional-order generalized SEIR model for the COVID-19 pandemic. (English) Zbl 1545.92142 Appl. Math. Comput. 457, Article ID 128210, 17 p. (2023). MSC: 92D30 34A08 34C60 49K15 49N90 × Cite Format Result Cite Review PDF Full Text: DOI
Jan, Rashid; Qureshi, Sania; Boulaaras, Salah; Pham, Viet-Thanh; Hincal, Evren; Guefaifia, Rafik Optimization of the fractional-order parameter with the error analysis for human immunodeficiency virus under Caputo operator. (English) Zbl 1517.92007 Discrete Contin. Dyn. Syst., Ser. S 16, No. 8, 2118-2140 (2023). MSC: 92C60 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Malik, Pradeep; Deepika Stability analysis of fractional order modelling of social media addiction. (English) Zbl 1530.92252 Math. Found. Comput. 6, No. 4, 670-690 (2023). MSC: 92D30 91D30 26A33 34D20 × Cite Format Result Cite Review PDF Full Text: DOI
Ali, Hegagi Mohamed; Ameen, Ismail Gad Stability and optimal control analysis for studying the transmission dynamics of a fractional-order MSV epidemic model. (English) Zbl 1519.92234 J. Comput. Appl. Math. 434, Article ID 115352, 28 p. (2023). MSC: 92D30 34A08 49J15 × Cite Format Result Cite Review PDF Full Text: DOI
Kong, Hua; Wu, Guo-Cheng; Fu, Hui; Wu, Kai-Teng Non-equidistant partition predictor-corrector method for fractional differential equations with exponential memory. (English) Zbl 07715020 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 3, 1109-1121 (2023). MSC: 65L05 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Odibat, Zaid; Baleanu, Dumitru A new fractional derivative operator with generalized cardinal sine kernel: numerical simulation. (English) Zbl 1540.26004 Math. Comput. Simul. 212, 224-233 (2023). MSC: 26A33 65L05 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yuan-Ming; Xie, Bo A fourth-order fractional Adams-type implicit-explicit method for nonlinear fractional ordinary differential equations with weakly singular solutions. (English) Zbl 1540.65202 Math. Comput. Simul. 212, 21-48 (2023). MSC: 65L05 65L20 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Naik, Manisha Krishna; Baishya, Chandrali; Veeresha, P. A chaos control strategy for the fractional 3D Lotka-Volterra like attractor. (English) Zbl 1540.34043 Math. Comput. Simul. 211, 1-22 (2023). MSC: 34A34 34A08 34H10 × Cite Format Result Cite Review PDF Full Text: DOI
Hou, Hu-Shuang; Zhang, Hua Stability and Hopf bifurcation of fractional complex-valued BAM neural networks with multiple time delays. (English) Zbl 1545.34103 Appl. Math. Comput. 450, Article ID 127986, 22 p. (2023). MSC: 34K37 34K18 34K20 × Cite Format Result Cite Review PDF Full Text: DOI
Irandoust-Pakchin, Safar; Abdi-Mazraeh, Somayeh Fractional second linear multistep methods: the explicit forms for solving fractional differential equations and stability analysis. (English) Zbl 1538.65189 Int. J. Comput. Math. 100, No. 1, 20-46 (2023). MSC: 65L06 34A08 65L05 65L20 × Cite Format Result Cite Review PDF Full Text: DOI
Rahmi, Emli; Darti, Isnani; Suryanto, Agus; Trisilowati, Trisilowati A fractional-order eco-epidemiological Leslie-Gower model with double Allee effect and disease in predator. (English) Zbl 1519.92337 Int. J. Differ. Equ. 2023, Article ID 5030729, 24 p. (2023). MSC: 92D40 92D30 92D25 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Bayer, Christian; Breneis, Simon Markovian approximations of stochastic Volterra equations with the fractional kernel. (English) Zbl 1518.91311 Quant. Finance 23, No. 1, 53-70 (2023). MSC: 91G60 65C30 60G22 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
S M, Sivalingam; Kumar, Pushpendra; Govindaraj, V. A novel numerical scheme for fractional differential equations using extreme learning machine. (English) Zbl 07695483 Physica A 622, Article ID 128887, 21 p. (2023). MSC: 82-XX × Cite Format Result Cite Review PDF Full Text: DOI
Wilson, Nicole; Drapaca, Corina S.; Enderling, Heiko; Caudell, Jimmy J.; Wilkie, Kathleen P. Modelling radiation cancer treatment with a death-rate term in ordinary and fractional differential equations. (English) Zbl 1514.92047 Bull. Math. Biol. 85, No. 6, Paper No. 47, 22 p. (2023). MSC: 92C50 34A08 × Cite Format Result Cite Review PDF Full Text: DOI
Haidong, Qu; Rahman, Mati ur; Arfan, Muhammad Fractional model of smoking with relapse and harmonic mean type incidence rate under Caputo operator. (English) Zbl 1516.37140 J. Appl. Math. Comput. 69, No. 1, 403-420 (2023). MSC: 37N25 34A08 26A33 92-10 × Cite Format Result Cite Review PDF Full Text: DOI
Aichinger, Florian; Desmettre, Sascha Utility maximization in multivariate Volterra models. (English) Zbl 1509.91036 SIAM J. Financ. Math. 14, No. 1, 52-98 (2023). MSC: 91G10 93E20 60G22 60H20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Liu, Chongyang; Sun, Wenjuan; Yi, Xiaopeng Optimal control of a fractional smoking system. (English) Zbl 1524.49002 J. Ind. Manag. Optim. 19, No. 4, 2936-2954 (2023). MSC: 49J15 93C15 × Cite Format Result Cite Review PDF Full Text: DOI
Salah Derradji, Lylia; Hamidane, Nacira; Aouchal, Sofiane A fractional SEIRS model with disease resistance and nonlinear generalized incidence rate in Caputo-Fabrizio sense. (English) Zbl 1522.92072 Rend. Circ. Mat. Palermo (2) 72, No. 1, 81-98 (2023). MSC: 92D30 34A08 34D20 × Cite Format Result Cite Review PDF Full Text: DOI
Wang, Yuan-Ming; Xie, Bo A fractional Adams-Simpson-type method for nonlinear fractional ordinary differential equations with non-smooth data. (English) Zbl 1512.65148 BIT 63, No. 1, Paper No. 7, 40 p. (2023). MSC: 65L06 34A08 65L05 65L20 65L70 × Cite Format Result Cite Review PDF Full Text: DOI
Sarumi, Ibrahim O.; Furati, Khaled M.; Mustapha, Kassem; Khaliq, Abdul Q. M. Efficient high-order exponential time differencing methods for nonlinear fractional differential models. (English) Zbl 1506.65094 Numer. Algorithms 92, No. 2, 1261-1288 (2023). MSC: 65L03 65L04 34K37 × Cite Format Result Cite Review PDF Full Text: DOI