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 07816047 Math. Methods Appl. Sci. 46, No. 18, 19100-19114 (2023). MSC: 26A33 65L05 65L20 65R20 PDFBibTeX XMLCite \textit{A. Zerari} et al., Math. Methods Appl. Sci. 46, No. 18, 19100--19114 (2023; Zbl 07816047) Full Text: DOI
Melliani, Said; Zamtain, Fouziya; Elomari, M’hamed; Chadli, Lalla Saadia Solving fuzzy fractional Atangana-Baleanu differential equation using Adams-Bashforth-Moulton method. (English) Zbl 07805689 Bol. Soc. Parana. Mat. (3) 41, Paper No. 131, 12 p. (2023). MSC: 26A33 03E72 65L05 PDFBibTeX XMLCite \textit{S. Melliani} et al., Bol. Soc. Parana. Mat. (3) 41, Paper No. 131, 12 p. (2023; Zbl 07805689) Full Text: DOI
Rahul; Prakash, Amit Numerical simulation of SIR childhood diseases model with fractional Adams-Bashforth method. (English) Zbl 1528.92005 Math. Methods Appl. Sci. 46, No. 12, 12340-12360 (2023). MSC: 92-10 92D30 PDFBibTeX XMLCite \textit{Rahul} and \textit{A. Prakash}, Math. Methods Appl. Sci. 46, No. 12, 12340--12360 (2023; Zbl 1528.92005) Full Text: DOI
Kumari, Preety; Pal Singh, Harendra; Singh, Swarn Global stability of novel coronavirus model using fractional derivative. (English) Zbl 07784397 Comput. Appl. Math. 42, No. 8, Paper No. 346, 36 p. (2023). MSC: 34D20 34D23 34M04 65L99 65Z05 92B05 PDFBibTeX XMLCite \textit{P. Kumari} et al., Comput. Appl. Math. 42, No. 8, Paper No. 346, 36 p. (2023; Zbl 07784397) Full Text: DOI
Georgiev, Svetlin G.; Erhan, İnci M. The Taylor series method of order \(p\) and Adams-Bashforth method on time scales. (English) Zbl 1527.34137 Math. Methods Appl. Sci. 46, No. 1, 304-320 (2023). MSC: 34N05 39A10 65L05 PDFBibTeX XMLCite \textit{S. G. Georgiev} and \textit{İ. M. Erhan}, Math. Methods Appl. Sci. 46, No. 1, 304--320 (2023; Zbl 1527.34137) Full Text: DOI
Saka, Bülent; Dağ, İdris; Hepson, Ozlem Ersoy Integration of the RLW equation using higher-order predictor-corrector scheme and quintic B-spline collocation method. (English) Zbl 07777627 Math. Sci., Springer 17, No. 4, 491-502 (2023). MSC: 65M70 65M06 65L06 65N30 35Q53 PDFBibTeX XMLCite \textit{B. Saka} et al., Math. Sci., Springer 17, No. 4, 491--502 (2023; Zbl 07777627) Full Text: DOI
El-Sayed, Ahmed M. A.; Arafa, Anas; Hagag, Ahmed Mathematical model for the novel Coronavirus (2019-nCOV) with clinical data using fractional operator. (English) Zbl 07776950 Numer. Methods Partial Differ. Equations 39, No. 2, 1008-1029 (2023). MSC: 65-XX 35-XX PDFBibTeX XMLCite \textit{A. M. A. El-Sayed} et al., Numer. Methods Partial Differ. Equations 39, No. 2, 1008--1029 (2023; Zbl 07776950) Full Text: DOI
Almalahi, Mohammed A.; Abdo, Mohammed S.; Abdeljawad, Thabet; Bonyah, Ebenezer Theoretical and numerical analysis of a prey-predator model (3-species) in the frame of generalized Mittag-Leffler law. (English) Zbl 07748414 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 5, 1933-1946 (2023). MSC: 34A08 34A12 47H10 PDFBibTeX XMLCite \textit{M. A. Almalahi} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 5, 1933--1946 (2023; Zbl 07748414) Full Text: DOI
Derakhshan, Mohammadhossein; Aminataei, Azim New approach for the chaotic dynamical systems involving Caputo-Prabhakar fractional derivative using Adams-Bashforth scheme. (English) Zbl 07739672 J. Difference Equ. Appl. 29, No. 6, 640-656 (2023). MSC: 65L05 65M06 35D05 65P20 65P40 PDFBibTeX XMLCite \textit{M. Derakhshan} and \textit{A. Aminataei}, J. Difference Equ. Appl. 29, No. 6, 640--656 (2023; Zbl 07739672) Full Text: DOI
Ahmad, Ashfaq; Ahmad, Ijaz; Ali, Rashid; Ibrahim, Muhammad On analysis of fractional order HIV infection model with the adaptive immune response under Caputo operator. (English) Zbl 1518.92138 J. Appl. Math. Comput. 69, No. 2, 1845-1863 (2023). MSC: 92D30 34A08 34C60 34D20 92C50 PDFBibTeX XMLCite \textit{A. Ahmad} et al., J. Appl. Math. Comput. 69, No. 2, 1845--1863 (2023; Zbl 1518.92138) Full Text: DOI
Malik, Pradeep; Deepika Stability analysis of fractional order modelling of social media addiction. (English) Zbl 07723697 Math. Found. Comput. 6, No. 4, 670-690 (2023). MSC: 92D30 91D30 26A33 34D20 PDFBibTeX XMLCite \textit{P. Malik} and \textit{Deepika}, Math. Found. Comput. 6, No. 4, 670--690 (2023; Zbl 07723697) Full Text: DOI
Alalyani, Ahmad; Saber, Sayed Stability analysis and numerical simulations of the fractional COVID-19 pandemic model. (English) Zbl 07715012 Int. J. Nonlinear Sci. Numer. Simul. 24, No. 3, 989-1002 (2023). MSC: 92D30 92D25 92C42 34C60 PDFBibTeX XMLCite \textit{A. Alalyani} and \textit{S. Saber}, Int. J. Nonlinear Sci. Numer. Simul. 24, No. 3, 989--1002 (2023; Zbl 07715012) Full Text: DOI
Qu, Haidong; Arfan, Muhammad; Shah, Kamal; Ullah, Aman; Abdeljawad, Thabet; Zhang, Gengzhong On numerical and theoretical findings for fractal-fractional order generalized dynamical system. (English) Zbl 07700467 Fractals 31, No. 2, Article ID 2340019, 19 p. (2023). MSC: 34A08 26A33 34A12 34D10 47H10 65L05 PDFBibTeX XMLCite \textit{H. Qu} et al., Fractals 31, No. 2, Article ID 2340019, 19 p. (2023; Zbl 07700467) Full Text: DOI
Shen, Xiaojuan; Huang, Yunqing; Dong, Xiaojing An effective second-order scheme for the nonstationary incompressible magnetohydrodynamics equations. (English) Zbl 07692024 Comput. Math. Appl. 139, 184-208 (2023). MSC: 76W05 76M10 65N30 35Q30 76D05 PDFBibTeX XMLCite \textit{X. Shen} et al., Comput. Math. Appl. 139, 184--208 (2023; Zbl 07692024) Full Text: DOI
Safikhani, Leila; Vahidi, Alireza; Allahviranloo, Tofigh; Afshar Kermani, Mozhdeh Multi-step \(gh\)-difference-based methods for fuzzy differential equations. (English) Zbl 07655435 Comput. Appl. Math. 42, No. 1, Paper No. 27, 30 p. (2023). MSC: 65-XX PDFBibTeX XMLCite \textit{L. Safikhani} et al., Comput. Appl. Math. 42, No. 1, Paper No. 27, 30 p. (2023; Zbl 07655435) Full Text: DOI
Arshad, Sadia; Siddique, Imran; Nawaz, Fariha; Shaheen, Aqila; Khurshid, Hina Dynamics of a fractional order mathematical model for COVID-19 epidemic transmission. (English) Zbl 07642810 Physica A 609, Article ID 128383, 18 p. (2023). MSC: 82-XX PDFBibTeX XMLCite \textit{S. Arshad} et al., Physica A 609, Article ID 128383, 18 p. (2023; Zbl 07642810) Full Text: DOI
Zerari, Amina; Odibat, Zaid; Shawagfeh, Nabil Numerical schemes for variable exponent fractional-type integral equations. (English) Zbl 07812791 Math. Methods Appl. Sci. 45, No. 17, 11601-11613 (2022). MSC: 26A33 47G10 65D05 65D30 65R20 PDFBibTeX XMLCite \textit{A. Zerari} et al., Math. Methods Appl. Sci. 45, No. 17, 11601--11613 (2022; Zbl 07812791) Full Text: DOI
Achar, Sindhu J.; Baishya, Chandrali; Kaabar, Mohammed K. A. Dynamics of the worm transmission in wireless sensor network in the framework of fractional derivatives. (English) Zbl 1527.34009 Math. Methods Appl. Sci. 45, No. 8, 4278-4294 (2022). MSC: 34A08 34C60 65L05 68M14 PDFBibTeX XMLCite \textit{S. J. Achar} et al., Math. Methods Appl. Sci. 45, No. 8, 4278--4294 (2022; Zbl 1527.34009) Full Text: DOI
Ghori, Muhammad Bilal; Naik, Parvaiz Ahmad; Zu, Jian; Eskandari, Zohreh; Naik, Mehraj-ud-din Global dynamics and bifurcation analysis of a fractional-order SEIR epidemic model with saturation incidence rate. (English) Zbl 1525.92068 Math. Methods Appl. Sci. 45, No. 7, 3665-3688 (2022). MSC: 92D30 34A08 34C23 34C60 34D23 PDFBibTeX XMLCite \textit{M. B. Ghori} et al., Math. Methods Appl. Sci. 45, No. 7, 3665--3688 (2022; Zbl 1525.92068) Full Text: DOI
Prakash, Amit; Rahul Analysis and numerical simulation of fractional biological population model with singular and non-singular kernels. (English) Zbl 1519.92209 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 48, Spec. Iss., 178-193 (2022). MSC: 92D25 26A33 39A70 PDFBibTeX XMLCite \textit{A. Prakash} and \textit{Rahul}, Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 48, 178--193 (2022; Zbl 1519.92209) Full Text: DOI
Kireev, I. V.; Novikov, A. E.; Novikov, E. A. Stability domains of explicit multistep methods. (Russian. English summary) Zbl 1516.65060 Sib. Zh. Vychisl. Mat. 25, No. 4, 417-428 (2022). MSC: 65L20 65L07 65L06 PDFBibTeX XMLCite \textit{I. V. Kireev} et al., Sib. Zh. Vychisl. Mat. 25, No. 4, 417--428 (2022; Zbl 1516.65060) Full Text: DOI MNR
Parovik, Roman Ivanovich Investigation of the Selkov fractional dynamical system. (Russian. English summary) Zbl 1524.86005 Vestn. KRAUNTS, Fiz.-Mat. Nauki 41, No. 4, 146-166 (2022). MSC: 86-10 PDFBibTeX XMLCite \textit{R. I. Parovik}, Vestn. KRAUNTS, Fiz.-Mat. Nauki 41, No. 4, 146--166 (2022; Zbl 1524.86005) Full Text: DOI MNR
Hosseini, Kamyar; Sadri, Khadijeh; Mirzazadeh, Mohammad; Salahshour, Soheil; Park, Choonkil; Lee, Jung Rye The guava model involving the conformable derivative and its mathematical analysis. (English) Zbl 1514.65081 Fractals 30, No. 10, Article ID 2240195, 14 p. (2022). MSC: 92-08 65L03 65L12 92D45 PDFBibTeX XMLCite \textit{K. Hosseini} et al., Fractals 30, No. 10, Article ID 2240195, 14 p. (2022; Zbl 1514.65081) Full Text: DOI
Mahmood, Tariq; Al-Duais, Fuad S.; Sun, Mei Dynamics of middle east respiratory syndrome coronavirus (MERS-CoV) involving fractional derivative with Mittag-Leffler kernel. (English) Zbl 07605520 Physica A 606, Article ID 128144, 15 p. (2022). MSC: 82-XX PDFBibTeX XMLCite \textit{T. Mahmood} et al., Physica A 606, Article ID 128144, 15 p. (2022; Zbl 07605520) Full Text: DOI
Breton, Louis; Montoya, Cristhian Robust Stackelberg controllability for the Kuramoto-Sivashinsky equation. (English) Zbl 1498.93040 Math. Control Signals Syst. 34, No. 3, 515-558 (2022). MSC: 93B05 93B35 93C20 35K25 35K55 91A65 PDFBibTeX XMLCite \textit{L. Breton} and \textit{C. Montoya}, Math. Control Signals Syst. 34, No. 3, 515--558 (2022; Zbl 1498.93040) Full Text: DOI arXiv
Ghosh, Surath Numerical study on fractional-order Lotka-Volterra model with spectral method and Adams-Bashforth-Moulton method. (English) Zbl 1500.65107 Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 233, 22 p. (2022). MSC: 65R20 34A08 65L60 PDFBibTeX XMLCite \textit{S. Ghosh}, Int. J. Appl. Comput. Math. 8, No. 5, Paper No. 233, 22 p. (2022; Zbl 1500.65107) Full Text: DOI
Liu, Xuan; Rahman, Mati Ur; Arfan, Muhammad; Tchier, Fairouz; Ahmad, Shabir; Inc, Mustafa; Akinyemi, Lanre Fractional mathematical modeling to the spread of polio with the role of vaccination under non-singular kernel. (English) Zbl 1498.92229 Fractals 30, No. 5, Article ID 2240144, 17 p. (2022). MSC: 92D30 92C60 34A08 PDFBibTeX XMLCite \textit{X. Liu} et al., Fractals 30, No. 5, Article ID 2240144, 17 p. (2022; Zbl 1498.92229) Full Text: DOI
Zhang, Lei; Ahmad, Shabir; Ullah, Aman; Akgül, Ali; Karatas Akgül, Esra Analysis of hidden attractors of non-equilibrium fractal-fractional chaotic system with one signum function. (English) Zbl 1504.34140 Fractals 30, No. 5, Article ID 2240139, 16 p. (2022). MSC: 34D45 34A36 34A08 34C28 47N20 34D10 28A80 PDFBibTeX XMLCite \textit{L. Zhang} et al., Fractals 30, No. 5, Article ID 2240139, 16 p. (2022; Zbl 1504.34140) Full Text: DOI
Zhao, Yi; Khan, Amir; Humphries, Usa Wannasingha; Zarin, Rahat; Khan, Majid; Yusuf, Abdullahi Dynamics of visceral Leishmania epidemic model with non-singular kernel. (English) Zbl 1498.92285 Fractals 30, No. 5, Article ID 2240135, 27 p. (2022). MSC: 92D30 26A33 34D20 PDFBibTeX XMLCite \textit{Y. Zhao} et al., Fractals 30, No. 5, Article ID 2240135, 27 p. (2022; Zbl 1498.92285) Full Text: DOI
Zhang, Lei; Saeed, Tareq; Wang, Miao-Kun; Aamir, Nudrat; Ibrahim, Muhammad On the analysis of fractal-fractional order model of middle east respiration syndrome coronavirus (MERS-CoV) under Caputo operator. (English) Zbl 1504.34126 Fractals 30, No. 5, Article ID 2240130, 11 p. (2022). MSC: 34C60 92D30 92C60 34C05 34D20 34D10 34D05 28A80 47N20 PDFBibTeX XMLCite \textit{L. Zhang} et al., Fractals 30, No. 5, Article ID 2240130, 11 p. (2022; Zbl 1504.34126) Full Text: DOI
Qu, Haidong; Rahman, Mati Ur; Arfan, Muhammad; Laouini, Ghaylen; Ahmadian, Ali; Senu, Norazak; Salahshour, Soheil Investigating fractal-fractional mathematical model of tuberculosis (TB) under fractal-fractional Caputo operator. (English) Zbl 1504.34118 Fractals 30, No. 5, Article ID 2240126, 14 p. (2022). MSC: 34C60 92C30 34A08 34C05 34D20 34D05 34D10 65L05 28A80 PDFBibTeX XMLCite \textit{H. Qu} et al., Fractals 30, No. 5, Article ID 2240126, 14 p. (2022; Zbl 1504.34118) Full Text: DOI
Qu, Haidong; Rahman, Mati Ur; Wang, Ye; Arfan, Muhammad; Adnan Modeling fractional-order dynamics of MERS-CoV via Mittag-Leffler law. (English) Zbl 07490682 Fractals 30, No. 1, Article ID 2240046, 16 p. (2022). MSC: 65Lxx 92Dxx 34Axx PDFBibTeX XMLCite \textit{H. Qu} et al., Fractals 30, No. 1, Article ID 2240046, 16 p. (2022; Zbl 07490682) Full Text: DOI
Sooppy Nisar, Kottakkaran; Rahman, Mati Ur; Laouini, Ghaylen; Shutaywi, Meshal; Arfan, Muhammad On nonlinear fractional-order mathematical model of food-chain. (English) Zbl 1486.92324 Fractals 30, No. 1, Article ID 2240014, 12 p. (2022). MSC: 92D40 26A33 PDFBibTeX XMLCite \textit{K. Sooppy Nisar} et al., Fractals 30, No. 1, Article ID 2240014, 12 p. (2022; Zbl 1486.92324) Full Text: DOI
Bonyah, Ebenezer; Akgül, Ali On solutions of an obesity model in the light of new type fractional derivatives. (English) Zbl 1486.92039 Chaos Solitons Fractals 147, Article ID 110956, 14 p. (2021). MSC: 92C32 65L03 34A08 34A12 34C60 PDFBibTeX XMLCite \textit{E. Bonyah} and \textit{A. Akgül}, Chaos Solitons Fractals 147, Article ID 110956, 14 p. (2021; Zbl 1486.92039) Full Text: DOI
Dlamini, Anastacia; Goufo, Emile F. Doungmo; Khumalo, Melusi On the Caputo-Fabrizio fractal fractional representation for the Lorenz chaotic system. (English) Zbl 1514.34015 AIMS Math. 6, No. 11, 12395-12421 (2021). MSC: 34A08 34A34 34C28 26A33 65L05 PDFBibTeX XMLCite \textit{A. Dlamini} et al., AIMS Math. 6, No. 11, 12395--12421 (2021; Zbl 1514.34015) Full Text: DOI
Alla Hamou, Abdelouahed; Azroul, Elhoussine; Lamrani Alaoui, Abdelilah Fractional model and numerical algorithms for predicting COVID-19 with isolation and quarantine strategies. (English) Zbl 1499.92001 Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 142, 30 p. (2021). MSC: 92-08 34A08 92D30 PDFBibTeX XMLCite \textit{A. Alla Hamou} et al., Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 142, 30 p. (2021; Zbl 1499.92001) Full Text: DOI
Salihi, Ylldrita; Markoski, Gjorgji; Gjurchinovski, Aleksandar On numerical solutions of linear fractional differential equations. (English) Zbl 1510.65147 Mat. Bilt. 45, No. 1, 35-47 (2021). MSC: 65L06 34A08 34C28 74H15 PDFBibTeX XMLCite \textit{Y. Salihi} et al., Mat. Bilt. 45, No. 1, 35--47 (2021; Zbl 1510.65147) Full Text: DOI
Ali, Zeeshan; Rabiei, Faranak; Shah, Kamal; Majid, Zanariah Abdul Dynamics of SIR mathematical model for COVID-19 outbreak in Pakistan under fractal-fractional derivative. (English) Zbl 1487.34101 Fractals 29, No. 5, Article ID 2150120, 16 p. (2021). MSC: 34C60 34A08 92C60 92D30 34D10 47N20 PDFBibTeX XMLCite \textit{Z. Ali} et al., Fractals 29, No. 5, Article ID 2150120, 16 p. (2021; Zbl 1487.34101) Full Text: DOI
Ali, Zeeshan; Rabiei, Faranak; Shah, Kamal; Khodadadi, Touraj Modeling and analysis of novel COVID-19 under fractal-fractional derivative with case study of Malaysia. (English) Zbl 1487.34100 Fractals 29, No. 1, Article ID 2150020, 14 p. (2021). MSC: 34C60 34A08 92C60 92D30 34A45 34D10 47N20 PDFBibTeX XMLCite \textit{Z. Ali} et al., Fractals 29, No. 1, Article ID 2150020, 14 p. (2021; Zbl 1487.34100) Full Text: DOI
Khader, Mohamed M. Using the generalized Adams-Bashforth-Moulton method for obtaining the numerical solution of some variable-order fractional dynamical models. (English) Zbl 1525.65068 Int. J. Nonlinear Sci. Numer. Simul. 22, No. 1, 93-98 (2021). MSC: 65L06 34A08 PDFBibTeX XMLCite \textit{M. M. Khader}, Int. J. Nonlinear Sci. Numer. Simul. 22, No. 1, 93--98 (2021; Zbl 1525.65068) Full Text: DOI
Le Roy De Bonneville, F.; Zamansky, R.; Risso, F.; Boulin, A.; Haquet, J.-F. Numerical simulations of the agitation generated by coarse-grained bubbles moving at large Reynolds number. (English) Zbl 1484.76081 J. Fluid Mech. 926, Paper No. A20, 35 p. (2021). MSC: 76T10 76M22 76M20 PDFBibTeX XMLCite \textit{F. Le Roy De Bonneville} et al., J. Fluid Mech. 926, Paper No. A20, 35 p. (2021; Zbl 1484.76081) Full Text: DOI HAL
Hamou, A. Alla; Azroul, E.; Hammouch, Z.; Alaoui, A. L. A fractional multi-order model to predict the COVID-19 outbreak in Morocco. (English) Zbl 07394229 Appl. Comput. Math. 20, No. 1, 177-203 (2021). MSC: 65D05 65R20 26A33 93E24 PDFBibTeX XMLCite \textit{A. A. Hamou} et al., Appl. Comput. Math. 20, No. 1, 177--203 (2021; Zbl 07394229) Full Text: Link
Mohammadi, Hakimeh A fractional mathematical model for COVID-19 transmission with Atangana-Baleanu derivative. (English) Zbl 1472.37089 J. Adv. Math. Stud. 14, No. 1, 137-152 (2021). MSC: 37N25 34A08 26A33 92D30 PDFBibTeX XMLCite \textit{H. Mohammadi}, J. Adv. Math. Stud. 14, No. 1, 137--152 (2021; Zbl 1472.37089) Full Text: Link
Savva, M. A. C.; Kafiabad, H. A.; Vanneste, J. Inertia-gravity-wave scattering by three-dimensional geostrophic turbulence. (English) Zbl 1485.76020 J. Fluid Mech. 916, Paper No. A6, 30 p. (2021). MSC: 76B15 76B55 76U60 76F65 76M22 76M20 PDFBibTeX XMLCite \textit{M. A. C. Savva} et al., J. Fluid Mech. 916, Paper No. A6, 30 p. (2021; Zbl 1485.76020) Full Text: DOI arXiv
Wijaya, Imam; Notsu, Hirofumi Stability estimates and a Lagrange-Galerkin scheme for a Navier-Stokes type model of flow in non-homogeneous porous media. (English) Zbl 1462.76129 Discrete Contin. Dyn. Syst., Ser. S 14, No. 3, 1197-1212 (2021). MSC: 76M10 76S05 65M12 35Q35 PDFBibTeX XMLCite \textit{I. Wijaya} and \textit{H. Notsu}, Discrete Contin. Dyn. Syst., Ser. S 14, No. 3, 1197--1212 (2021; Zbl 1462.76129) Full Text: DOI arXiv
Kumar, Sunil; Kumar, Ajay; Samet, Bessem; Gómez-Aguilar, J. F.; Osman, M. S. A chaos study of tumor and effector cells in fractional tumor-immune model for cancer treatment. (English) Zbl 1496.92034 Chaos Solitons Fractals 141, Article ID 110321, 15 p. (2020). MSC: 92C50 PDFBibTeX XMLCite \textit{S. Kumar} et al., Chaos Solitons Fractals 141, Article ID 110321, 15 p. (2020; Zbl 1496.92034) Full Text: DOI
Ahmad, Shabir; Ullah, Aman; Arfan, Muhammad; Shah, Kamal On analysis of the fractional mathematical model of rotavirus epidemic with the effects of breastfeeding and vaccination under Atangana-Baleanu (AB) derivative. (English) Zbl 1495.92068 Chaos Solitons Fractals 140, Article ID 110233, 21 p. (2020). MSC: 92D30 34A08 26A33 47N20 PDFBibTeX XMLCite \textit{S. Ahmad} et al., Chaos Solitons Fractals 140, Article ID 110233, 21 p. (2020; Zbl 1495.92068) Full Text: DOI
Bushnaq, Samia; Shah, Kamal; Alrabaiah, Hussam On modeling of coronavirus-19 disease under Mittag-Leffler power law. (English) Zbl 1486.92207 Adv. Difference Equ. 2020, Paper No. 487, 15 p. (2020). MSC: 92D30 92C60 26A33 PDFBibTeX XMLCite \textit{S. Bushnaq} et al., Adv. Difference Equ. 2020, Paper No. 487, 15 p. (2020; Zbl 1486.92207) Full Text: DOI
Mathale, D.; Doungmo Goufo, Emile F.; Khumalo, M. Coexistence of multi-scroll chaotic attractors for fractional systems with exponential law and non-singular kernel. (English) Zbl 1490.34008 Chaos Solitons Fractals 139, Article ID 110021, 12 p. (2020). MSC: 34A08 34C28 37D45 26A33 PDFBibTeX XMLCite \textit{D. Mathale} et al., Chaos Solitons Fractals 139, Article ID 110021, 12 p. (2020; Zbl 1490.34008) 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
Abdo, Mohammed S.; Shah, Kamal; Wahash, Hanan A.; Panchal, Satish K. On a comprehensive model of the novel coronavirus (COVID-19) under Mittag-Leffler derivative. (English) Zbl 1489.92131 Chaos Solitons Fractals 135, Article ID 109867, 13 p. (2020). MSC: 92D30 92C60 34A08 26A33 PDFBibTeX XMLCite \textit{M. S. Abdo} et al., Chaos Solitons Fractals 135, Article ID 109867, 13 p. (2020; Zbl 1489.92131) Full Text: DOI
Derakhshan, M. H.; Aminataei, A. Comparison of homotopy perturbation transform method and fractional Adams-Bashforth method for the Caputo-Prabhakar nonlinear fractional differential equations. (English) Zbl 1482.65131 Iran. J. Numer. Anal. Optim. 10, No. 2, 63-85 (2020). MSC: 65L99 34A08 PDFBibTeX XMLCite \textit{M. H. Derakhshan} and \textit{A. Aminataei}, Iran. J. Numer. Anal. Optim. 10, No. 2, 63--85 (2020; Zbl 1482.65131) Full Text: DOI
Abdo, Mohammed S.; Panchal, Satish K.; Shah, Kamal; Abdeljawad, Thabet Existence theory and numerical analysis of three species prey-predator model under Mittag-Leffler power law. (English) Zbl 1482.92059 Adv. Difference Equ. 2020, Paper No. 249, 16 p. (2020). MSC: 92D25 34A08 26A33 47N20 PDFBibTeX XMLCite \textit{M. S. Abdo} et al., Adv. Difference Equ. 2020, Paper No. 249, 16 p. (2020; Zbl 1482.92059) Full Text: DOI
Tavares, Mathilde; Koffi-Bi, Désir-André; Chénier, Eric; Vincent, Stéphane A two-dimensional second order conservative front-tracking method with an original marker advection approach based on jump relations. (English) Zbl 1480.76087 Commun. Comput. Phys. 27, No. 5, 1550-1589 (2020). MSC: 76M20 76R99 76D07 PDFBibTeX XMLCite \textit{M. Tavares} et al., Commun. Comput. Phys. 27, No. 5, 1550--1589 (2020; Zbl 1480.76087) Full Text: DOI
Zhang, Wei; Uh Zapata, Miguel; Bai, Xin; Pham Van Bang, Damien; Nguyen, Kim Dan An unstructured finite volume method based on the projection method combined momentum interpolation with a central scheme for three-dimensional nonhydrostatic turbulent flows. (English) Zbl 1477.76059 Eur. J. Mech., B, Fluids 84, 164-185 (2020). MSC: 76M12 76M20 76F65 PDFBibTeX XMLCite \textit{W. Zhang} et al., Eur. J. Mech., B, Fluids 84, 164--185 (2020; Zbl 1477.76059) Full Text: DOI
Batiha, Iqbal M.; Albadarneh, Ramzi B.; Momani, Shaher; Jebril, Iqbal H. Dynamics analysis of fractional-order Hopfield neural networks. (English) Zbl 07336066 Int. J. Biomath. 13, No. 8, Article ID 2050083, 17 p. (2020). MSC: 68T07 PDFBibTeX XMLCite \textit{I. M. Batiha} et al., Int. J. Biomath. 13, No. 8, Article ID 2050083, 17 p. (2020; Zbl 07336066) Full Text: DOI
Seferi, Ylldrita; Markoski, Gjorgji; Gjurchinovski, Aleksandar Comparison of two numerical methods for fractional-order Rössler system. (English) Zbl 1454.34067 Mat. Bilt. 44, No. 1, 53-60 (2020). MSC: 34C28 34A08 PDFBibTeX XMLCite \textit{Y. Seferi} et al., Mat. Bilt. 44, No. 1, 53--60 (2020; Zbl 1454.34067) Full Text: DOI
Kumar, Sunil; Kumar, Ranbir; Agarwal, Ravi P.; Samet, Bessem A study of fractional Lotka-Volterra population model using Haar wavelet and Adams-Bashforth-Moulton methods. (English) Zbl 1452.65124 Math. Methods Appl. Sci. 43, No. 8, 5564-5578 (2020). MSC: 65L06 34A08 92D25 PDFBibTeX XMLCite \textit{S. Kumar} et al., Math. Methods Appl. Sci. 43, No. 8, 5564--5578 (2020; Zbl 1452.65124) Full Text: DOI
Masjed-Jamei, Mohammad; Moalemi, Zahra; Srivastava, Hari M.; Area, Iván Some modified Adams-Bashforth methods based upon the weighted Hermite quadrature rules. (English) Zbl 1452.65125 Math. Methods Appl. Sci. 43, No. 3, 1380-1398 (2020). MSC: 65L06 65L05 41A55 65D05 PDFBibTeX XMLCite \textit{M. Masjed-Jamei} et al., Math. Methods Appl. Sci. 43, No. 3, 1380--1398 (2020; Zbl 1452.65125) Full Text: DOI
Odibat, Zaid; Baleanu, Dumitru Numerical simulation of initial value problems with generalized Caputo-type fractional derivatives. (English) Zbl 1453.65160 Appl. Numer. Math. 156, 94-105 (2020). MSC: 65L05 34A08 65L06 PDFBibTeX XMLCite \textit{Z. Odibat} and \textit{D. Baleanu}, Appl. Numer. Math. 156, 94--105 (2020; Zbl 1453.65160) Full Text: DOI
Hou, Tianliang; Leng, Haitao Numerical analysis of a stabilized Crank-Nicolson/Adams-Bashforth finite difference scheme for Allen-Cahn equations. (English) Zbl 1524.65348 Appl. Math. Lett. 102, Article ID 106150, 9 p. (2020). MSC: 65M06 65M12 65M15 35Q35 65M20 65N06 65L06 PDFBibTeX XMLCite \textit{T. Hou} and \textit{H. Leng}, Appl. Math. Lett. 102, Article ID 106150, 9 p. (2020; Zbl 1524.65348) Full Text: DOI
Karaagac, Berat Two step Adams Bashforth method for time fractional Tricomi equation with non-local and non-singular kernel. (English) Zbl 1483.65136 Chaos Solitons Fractals 128, 234-241 (2019). MSC: 65M06 65M12 65L05 35R11 PDFBibTeX XMLCite \textit{B. Karaagac}, Chaos Solitons Fractals 128, 234--241 (2019; Zbl 1483.65136) Full Text: DOI
Bashir, Amna; Mushtaq, Muhammad; Zafar, Zain Ul Abadin; Rehan, Kashif; Muntazir, Rana Muhammad Akram Comparison of fractional order techniques for measles dynamics. (English) Zbl 1485.92113 Adv. Difference Equ. 2019, Paper No. 334, 27 p. (2019). MSC: 92D30 34A08 92C60 PDFBibTeX XMLCite \textit{A. Bashir} et al., Adv. Difference Equ. 2019, Paper No. 334, 27 p. (2019; Zbl 1485.92113) Full Text: DOI
Zhang, Tong; Jin, JiaoJiao Decoupled Crank-Nicolson/Adams-Bashforth scheme for the Boussinesq equations with smooth initial data. (English) Zbl 1499.65548 Int. J. Comput. Math. 96, No. 3, 594-621 (2019). MSC: 65M60 65M06 65L06 65N30 65M12 65M15 76D05 76D07 76M10 35Q30 PDFBibTeX XMLCite \textit{T. Zhang} and \textit{J. Jin}, Int. J. Comput. Math. 96, No. 3, 594--621 (2019; Zbl 1499.65548) Full Text: DOI
Mikida, Cory; Klöckner, Andreas; Bodony, Daniel Multi-rate time integration on overset meshes. (English) Zbl 1452.65219 J. Comput. Phys. 396, 325-346 (2019). MSC: 65M55 76N06 65Y20 PDFBibTeX XMLCite \textit{C. Mikida} et al., J. Comput. Phys. 396, 325--346 (2019; Zbl 1452.65219) Full Text: DOI arXiv
Peng, Dong; Sun, Kehui; He, Shaobo; Alamodi, Abdulaziz O. A. What is the lowest order of the fractional-order chaotic systems to behave chaotically? (English) Zbl 1448.34090 Chaos Solitons Fractals 119, 163-170 (2019). MSC: 34C28 65P20 34A08 65L05 PDFBibTeX XMLCite \textit{D. Peng} et al., Chaos Solitons Fractals 119, 163--170 (2019; Zbl 1448.34090) Full Text: DOI
Zafar, Zain Ul Abadin RETRACTED ARTICLE: Fractional order Lengyel-Epstein chemical reaction model. (English) Zbl 1439.65221 Comput. Appl. Math. 38, No. 3, Paper No. 131, 16 p. (2019); retraction ibid. 39, No. 2, Paper No. 128, 1 p. (2020). MSC: 65P20 37M05 80A30 PDFBibTeX XMLCite \textit{Z. U. A. Zafar}, Comput. Appl. Math. 38, No. 3, Paper No. 131, 16 p. (2019; Zbl 1439.65221) Full Text: DOI
Gómez, José Francisco (ed.); Torres, Lizeth (ed.); Escobar, Ricardo Fabricio (ed.) Fractional derivatives with Mittag-Leffler kernel. Trends and applications in science and engineering. (English) Zbl 1411.34006 Studies in Systems, Decision and Control 194. Cham: Springer (ISBN 978-3-030-11661-3/hbk; 978-3-030-11662-0/ebook). viii, 341 p. (2019). MSC: 34-06 35-06 26-06 49-06 74-06 92-06 34A08 35R11 26A33 49Kxx 74Sxx 92D30 92Exx 00B15 PDFBibTeX XMLCite \textit{J. F. Gómez} (ed.) et al., Fractional derivatives with Mittag-Leffler kernel. Trends and applications in science and engineering. Cham: Springer (2019; Zbl 1411.34006) Full Text: DOI
Toh, Yoke Teng; Phang, Chang; Loh, Jian Rong New predictor-corrector scheme for solving nonlinear differential equations with Caputo-Fabrizio operator. (English) Zbl 1412.65053 Math. Methods Appl. Sci. 42, No. 1, 175-185 (2019). Reviewer: Neville Ford (Chester) MSC: 65L06 34A08 PDFBibTeX XMLCite \textit{Y. T. Toh} et al., Math. Methods Appl. Sci. 42, No. 1, 175--185 (2019; Zbl 1412.65053) Full Text: DOI
Njagarah, J. B. H.; Tabi, C. B. Spatial synchrony in fractional order metapopulation cholera transmission. (English) Zbl 1442.92176 Chaos Solitons Fractals 117, 37-49 (2018). MSC: 92D30 34C60 34A08 PDFBibTeX XMLCite \textit{J. B. H. Njagarah} and \textit{C. B. Tabi}, Chaos Solitons Fractals 117, 37--49 (2018; Zbl 1442.92176) Full Text: DOI
Bonyah, Ebenezer Chaos in a 5-D hyperchaotic system with four wings in the light of non-local and non-singular fractional derivatives. (English) Zbl 1442.34009 Chaos Solitons Fractals 116, 316-331 (2018). MSC: 34A08 34A12 34C60 PDFBibTeX XMLCite \textit{E. Bonyah}, Chaos Solitons Fractals 116, 316--331 (2018; Zbl 1442.34009) Full Text: DOI
Zhang, Tong; Jin, JiaoJiao; Jiang, Tao The decoupled Crank-Nicolson/Adams-Bashforth scheme for the Boussinesq equations with nonsmooth initial data. (English) Zbl 1427.76154 Appl. Math. Comput. 337, 234-266 (2018). MSC: 76M10 65M60 65M15 76D07 86A10 PDFBibTeX XMLCite \textit{T. Zhang} et al., Appl. Math. Comput. 337, 234--266 (2018; Zbl 1427.76154) Full Text: DOI
Seferi, Ylldrita; Markoski, Gjorgji; Gjurchinovski, Aleksandar Comparison of different numerical methods for fractional differential equations. (English) Zbl 1467.65071 Mat. Bilt. 42, No. 2, 61-74 (2018). MSC: 65L06 34A08 PDFBibTeX XMLCite \textit{Y. Seferi} et al., Mat. Bilt. 42, No. 2, 61--74 (2018; Zbl 1467.65071) Full Text: Link
Gu, Z. H.; Wen, H. L.; Yu, C. H.; Sheu, Tony W. H. Interface-preserving level set method for simulating dam-break flows. (English) Zbl 1416.76177 J. Comput. Phys. 374, 249-280 (2018). MSC: 76M20 76T10 65M06 76D05 PDFBibTeX XMLCite \textit{Z. H. Gu} et al., J. Comput. Phys. 374, 249--280 (2018; Zbl 1416.76177) Full Text: DOI
Rashidinia, J.; Khasi, M.; Fasshauer, G. E. A stable Gaussian radial basis function method for solving nonlinear unsteady convection-diffusion-reaction equations. (English) Zbl 1409.65077 Comput. Math. Appl. 75, No. 5, 1831-1850 (2018). MSC: 65M70 65M20 35K20 35K57 PDFBibTeX XMLCite \textit{J. Rashidinia} et al., Comput. Math. Appl. 75, No. 5, 1831--1850 (2018; Zbl 1409.65077) Full Text: DOI
Atangana, Abdon; Owolabi, Kolade M. New numerical approach for fractional differential equations. (English) Zbl 1406.65045 Math. Model. Nat. Phenom. 13, No. 1, Paper No. 3, 21 p. (2018); corrigendum ibid. 16, Paper No. 47, 10 p. (2021). MSC: 65L05 34A08 PDFBibTeX XMLCite \textit{A. Atangana} and \textit{K. M. Owolabi}, Math. Model. Nat. Phenom. 13, No. 1, Paper No. 3, 21 p. (2018; Zbl 1406.65045) Full Text: DOI arXiv Link
Sarv Ahrabi, Sima; Momenzadeh, Alireza On failed methods of fractional differential equations: the case of multi-step generalized differential transform method. (English) Zbl 1416.65250 Mediterr. J. Math. 15, No. 4, Paper No. 149, 1-10 (2018). MSC: 65L99 34A08 PDFBibTeX XMLCite \textit{S. Sarv Ahrabi} and \textit{A. Momenzadeh}, Mediterr. J. Math. 15, No. 4, Paper No. 149, 1--10 (2018; Zbl 1416.65250) Full Text: DOI arXiv
Khader, M. M. The modeling dynamics of HIV and CD4\(^{+}\) T-cells during primary infection in fractional order: numerical simulation. (English) Zbl 1395.65130 Mediterr. J. Math. 15, No. 3, Paper No. 139, 17 p. (2018). MSC: 65N20 41A30 26A33 65N12 92C50 92C37 35Q92 35R11 PDFBibTeX XMLCite \textit{M. M. Khader}, Mediterr. J. Math. 15, No. 3, Paper No. 139, 17 p. (2018; Zbl 1395.65130) Full Text: DOI
Masjed-Jamei, Mohammad; Milovanović, Gradimir V.; Shayegan, Amir Hossein Salehi On weighted Adams-Bashforth rules. (English) Zbl 1394.65051 Math. Commun. 23, No. 1, 127-144 (2018). MSC: 65L05 33C45 PDFBibTeX XMLCite \textit{M. Masjed-Jamei} et al., Math. Commun. 23, No. 1, 127--144 (2018; Zbl 1394.65051) Full Text: Link
Escalante-Martínez, J. E.; Gómez-Aguilar, J. F.; Calderón-Ramón, C.; Aguilar-Meléndez, A.; Padilla-Longoria, P. Synchronized bioluminescence behavior of a set of fireflies involving fractional operators of Liouville-Caputo type. (English) Zbl 1388.35195 Int. J. Biomath. 11, No. 3, Article ID 1850041, 25 p. (2018). MSC: 35Q92 35B40 26A33 35M10 65R10 35R11 92D50 45D05 65L06 PDFBibTeX XMLCite \textit{J. E. Escalante-Martínez} et al., Int. J. Biomath. 11, No. 3, Article ID 1850041, 25 p. (2018; Zbl 1388.35195) Full Text: DOI
Sohail, Ayesha; Maqbool, Khadija; Ellahi, Rahmat Stability analysis for fractional-order partial differential equations by means of space spectral time Adams-Bashforth Moulton method. (English) Zbl 1383.65104 Numer. Methods Partial Differ. Equations 34, No. 1, 19-29 (2018). MSC: 65M12 65M20 35L03 35K20 PDFBibTeX XMLCite \textit{A. Sohail} et al., Numer. Methods Partial Differ. Equations 34, No. 1, 19--29 (2018; Zbl 1383.65104) Full Text: DOI
Escalante-Martínez, J. E.; Gómez-Aguilar, J. F.; Calderón-Ramón, C.; Aguilar-Meléndez, A.; Padilla-Longoria, P. A mathematical model of circadian rhythms synchronization using fractional differential equations system of coupled van der Pol oscillators. (English) Zbl 1378.35322 Int. J. Biomath. 11, No. 1, Article ID 1850014, 24 p. (2018). MSC: 35R11 35B40 35M10 65R10 PDFBibTeX XMLCite \textit{J. E. Escalante-Martínez} et al., Int. J. Biomath. 11, No. 1, Article ID 1850014, 24 p. (2018; Zbl 1378.35322) Full Text: DOI
Sengupta, Tapan K.; Sengupta, Aditi; Saurabh, Kumar Global spectral analysis of multi-level time integration schemes: numerical properties for error analysis. (English) Zbl 1411.76115 Appl. Math. Comput. 304, 41-57 (2017). MSC: 76M22 65M70 76Q05 PDFBibTeX XMLCite \textit{T. K. Sengupta} et al., Appl. Math. Comput. 304, 41--57 (2017; Zbl 1411.76115) 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
Owolabi, Kolade M.; Atangana, Abdon Analysis and application of new fractional Adams-Bashforth scheme with Caputo-Fabrizio derivative. (English) Zbl 1380.65120 Chaos Solitons Fractals 105, 111-119 (2017). MSC: 65L05 34A08 65L20 PDFBibTeX XMLCite \textit{K. M. Owolabi} and \textit{A. Atangana}, Chaos Solitons Fractals 105, 111--119 (2017; Zbl 1380.65120) Full Text: DOI
Diegel, Amanda E.; Wang, Cheng; Wang, Xiaoming; Wise, Steven M. Convergence analysis and error estimates for a second order accurate finite element method for the Cahn-Hilliard-Navier-Stokes system. (English) Zbl 1523.65081 Numer. Math. 137, No. 3, 495-534 (2017). Reviewer: Baasansuren Jadamba (Rochester) MSC: 65M60 65M06 65L06 65D30 65N30 65M12 65M15 35K35 35K55 35B65 35R09 PDFBibTeX XMLCite \textit{A. E. Diegel} et al., Numer. Math. 137, No. 3, 495--534 (2017; Zbl 1523.65081) Full Text: DOI arXiv
Hoa, Ngo Van; Lupulescu, Vasile; O’Regan, Donal Solving interval-valued fractional initial value problems under Caputo gH-fractional differentiability. (English) Zbl 1368.34010 Fuzzy Sets Syst. 309, 1-34 (2017). MSC: 34A08 PDFBibTeX XMLCite \textit{N. Van Hoa} et al., Fuzzy Sets Syst. 309, 1--34 (2017; Zbl 1368.34010) Full Text: DOI
Baffet, Daniel; Hesthaven, Jan S. High-order accurate local schemes for fractional differential equations. (English) Zbl 1364.65140 J. Sci. Comput. 70, No. 1, 355-385 (2017). Reviewer: Kai Diethelm (Braunschweig) MSC: 65L06 65L05 34A08 34A34 65L70 65L50 PDFBibTeX XMLCite \textit{D. Baffet} and \textit{J. S. Hesthaven}, J. Sci. Comput. 70, No. 1, 355--385 (2017; Zbl 1364.65140) Full Text: DOI Link
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
Abbas, Syed; Mahto, Lakshman; Favini, Angelo; Hafayed, Mokhtar Dynamical study of fractional model of allelopathic stimulatory phytoplankton species. (English) Zbl 1358.34049 Differ. Equ. Dyn. Syst. 24, No. 3, 267-280 (2016). MSC: 34C60 34A08 34D05 92D25 92D40 PDFBibTeX XMLCite \textit{S. Abbas} et al., Differ. Equ. Dyn. Syst. 24, No. 3, 267--280 (2016; Zbl 1358.34049) Full Text: DOI
Sweilam, N. H.; Nagy, A. M.; Assiri, T. A.; Ali, N. Y. Numerical simulations for variable-order fractional nonlinear delay differential equations. (English) Zbl 1499.65263 J. Fract. Calc. Appl. 6, No. 1, 71-82 (2015). MSC: 65L03 34K37 PDFBibTeX XMLCite \textit{N. H. Sweilam} et al., J. Fract. Calc. Appl. 6, No. 1, 71--82 (2015; Zbl 1499.65263) Full Text: Link
Nguyen-Ba, T.; Giordanom, T.; Vaillancourt, R. Contractivity-preserving, 4-step explicit, Hermite-Obrechkoff series ODE solvers of order 3 to 20. (English) Zbl 1374.65123 Acta Univ. Apulensis, Math. Inform. 44, 191-210 (2015). MSC: 65L06 65L05 34A34 65L20 65L70 70F10 PDFBibTeX XMLCite \textit{T. Nguyen-Ba} et al., Acta Univ. Apulensis, Math. Inform. 44, 191--210 (2015; Zbl 1374.65123)
Baskonus, Haci Mehmet; Bulut, Hasan On the numerical solutions of some fractional ordinary differential equations by fractional Adams-Bashforth-Moulton method. (English) Zbl 1350.65077 Open Math. 13, 547-556 (2015). MSC: 65L06 65L05 34A08 34A30 34A34 PDFBibTeX XMLCite \textit{H. M. Baskonus} and \textit{H. Bulut}, Open Math. 13, 547--556 (2015; Zbl 1350.65077) Full Text: DOI
Ngo Van Hoa Fuzzy fractional functional differential equations under Caputo gH-differentiability. (English) Zbl 1336.34009 Commun. Nonlinear Sci. Numer. Simul. 22, No. 1-3, 1134-1157 (2015). Reviewer: Andrej V. Plotnikov (Odessa) MSC: 34A07 26A33 34A08 PDFBibTeX XMLCite \textit{Ngo Van Hoa}, Commun. Nonlinear Sci. Numer. Simul. 22, No. 1--3, 1134--1157 (2015; Zbl 1336.34009) Full Text: DOI
Montijano, J. I.; Rández, L.; van Daele, M.; Calvo, M. Functionally fitted explicit two step peer methods. (English) Zbl 1326.65090 J. Sci. Comput. 64, No. 3, 938-958 (2015). MSC: 65L05 34A34 65L06 PDFBibTeX XMLCite \textit{J. I. Montijano} et al., J. Sci. Comput. 64, No. 3, 938--958 (2015; Zbl 1326.65090) Full Text: DOI
Tocino, A.; Senosiain, M. J. Two-step Milstein schemes for stochastic differential equations. (English) Zbl 1322.60138 Numer. Algorithms 69, No. 3, 643-665 (2015). MSC: 60H35 60H10 65C30 60H05 PDFBibTeX XMLCite \textit{A. Tocino} and \textit{M. J. Senosiain}, Numer. Algorithms 69, No. 3, 643--665 (2015; Zbl 1322.60138) Full Text: DOI
Lee, J. Alex; Nam, Jaewook; Pasquali, Matteo A new stabilization of adaptive step trapezoid rule based on finite difference interrupts. (English) Zbl 1318.65062 SIAM J. Sci. Comput. 37, No. 2, A725-A746 (2015). MSC: 65M12 65M20 65M06 65M60 35Q35 76A10 76B07 PDFBibTeX XMLCite \textit{J. A. Lee} et al., SIAM J. Sci. Comput. 37, No. 2, A725--A746 (2015; Zbl 1318.65062) Full Text: DOI Link
Daftardar-Gejji, Varsha; Sukale, Yogita; Bhalekar, Sachin A new predictor-corrector method for fractional differential equations. (English) Zbl 1337.65071 Appl. Math. Comput. 244, 158-182 (2014). MSC: 65L06 34A08 PDFBibTeX XMLCite \textit{V. Daftardar-Gejji} et al., Appl. Math. Comput. 244, 158--182 (2014; Zbl 1337.65071) Full Text: DOI
Zhang, Wei; Wei, Wenjie; Cai, Xing Performance modeling of serial and parallel implementations of the fractional Adams-Bashforth-Moulton method. (English) Zbl 1307.65105 Fract. Calc. Appl. Anal. 17, No. 3, 617-637 (2014). MSC: 65L05 65L06 34A34 34A08 65Y05 65Y20 PDFBibTeX XMLCite \textit{W. Zhang} et al., Fract. Calc. Appl. Anal. 17, No. 3, 617--637 (2014; Zbl 1307.65105) Full Text: DOI
Tocino, A.; Senosiain, M. J. Asymptotic mean-square stability of two-step Maruyama schemes for stochastic differential equations. (English) Zbl 1293.65012 J. Comput. Appl. Math. 260, 337-348 (2014). MSC: 65C30 60H10 PDFBibTeX XMLCite \textit{A. Tocino} and \textit{M. J. Senosiain}, J. Comput. Appl. Math. 260, 337--348 (2014; Zbl 1293.65012) Full Text: DOI