Sujitha, S.; Jayakumar, T.; Maheskumar, D. Fractional model of brain tumor with chemo-radiotherapy treatment. (English) Zbl 1522.92031 J. Appl. Math. Comput. 69, No. 5, 3793-3818 (2023). MSC: 92C50 34A08 34D20 PDFBibTeX XMLCite \textit{S. Sujitha} et al., J. Appl. Math. Comput. 69, No. 5, 3793--3818 (2023; Zbl 1522.92031) Full Text: DOI
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
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: 65-XX 34-XX PDFBibTeX XMLCite \textit{H. Kong} et al., Int. J. Nonlinear Sci. Numer. Simul. 24, No. 3, 1109--1121 (2023; Zbl 07715020) 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 PDFBibTeX XMLCite \textit{C. Bayer} and \textit{S. Breneis}, Quant. Finance 23, No. 1, 53--70 (2023; Zbl 1518.91311) Full Text: DOI arXiv
Özköse, Fatma; Habbireeh, Rafla; Şenel, M. Tamer A novel fractional order model of SARS-CoV-2 and cholera disease with real data. (English) Zbl 1524.92106 J. Comput. Appl. Math. 423, Article ID 114969, 29 p. (2023). MSC: 92D30 34A08 92C60 35R11 PDFBibTeX XMLCite \textit{F. Özköse} et al., J. Comput. Appl. Math. 423, Article ID 114969, 29 p. (2023; Zbl 1524.92106) Full Text: DOI
Yan, Bo; Parastesh, Fatemeh; He, Shaobo; Rajagopal, Karthikeyan; Jafari, Sajad; Perc, Matjaž Interlayer and intralayer synchronization in multiplex fractional-order neuronal networks. (English) Zbl 1510.92027 Fractals 30, No. 10, Article ID 2240194, 11 p. (2022). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 92B20 92B25 34A08 PDFBibTeX XMLCite \textit{B. Yan} et al., Fractals 30, No. 10, Article ID 2240194, 11 p. (2022; Zbl 1510.92027) Full Text: DOI
Shivanian, Elyas Error estimate and stability analysis on the study of a high-order nonlinear fractional differential equation with Caputo-derivative and integral boundary condition. (English) Zbl 1513.34036 Comput. Appl. Math. 41, No. 8, Paper No. 395, 20 p. (2022). MSC: 34A08 34B15 34B10 47N20 65L10 PDFBibTeX XMLCite \textit{E. Shivanian}, Comput. Appl. Math. 41, No. 8, Paper No. 395, 20 p. (2022; Zbl 1513.34036) Full Text: DOI
Hamdan, Nur ’Izzati; Kilicman, Adem Mathematical modelling of dengue transmission with intervention strategies using fractional derivatives. (English) Zbl 1510.92207 Bull. Math. Biol. 84, No. 12, Paper No. 138, 31 p. (2022). Reviewer: Ran Zhang (Nanjing) MSC: 92D30 34A08 34D23 PDFBibTeX XMLCite \textit{N. Hamdan} and \textit{A. Kilicman}, Bull. Math. Biol. 84, No. 12, Paper No. 138, 31 p. (2022; Zbl 1510.92207) Full Text: DOI
Fiaz, Muhammad; Aqeel, Muhammad; Marwan, Muhammad; Sabir, Muhammad Integer and fractional order analysis of a 3D system and generalization of synchronization for a class of chaotic systems. (English) Zbl 1498.34025 Chaos Solitons Fractals 155, Article ID 111743, 11 p. (2022). MSC: 34A08 34H10 37D45 PDFBibTeX XMLCite \textit{M. Fiaz} et al., Chaos Solitons Fractals 155, Article ID 111743, 11 p. (2022; Zbl 1498.34025) Full Text: DOI
Maurício de Carvalho, João P. S.; Pinto, Carla M. A. Role of the immune system in AIDS-defining malignancies. (English) Zbl 1485.92037 Awrejcewicz, Jan (ed.), Perspectives in dynamical systems I: mechatronics and life sciences. Selected papers based on the presentations at the 15th international conference on dynamical systems – theory and applications, DSTA, Łódź, Poland, December 2–5, 2019. Cham: Springer. Springer Proc. Math. Stat. 362, 95-105 (2022). MSC: 92C32 34A34 26A33 PDFBibTeX XMLCite \textit{J. P. S. Maurício de Carvalho} and \textit{C. M. A. Pinto}, Springer Proc. Math. Stat. 362, 95--105 (2022; Zbl 1485.92037) Full Text: DOI
Akgül, Akif; Rajagopal, Karthikeyan; Durdu, Ali; Pala, Muhammed Ali; Boyraz, Ömer Faruk; Yildiz, Mustafa Zahid A simple fractional-order chaotic system based on memristor and memcapacitor and its synchronization application. (English) Zbl 1497.94209 Chaos Solitons Fractals 152, Article ID 111306, 11 p. (2021). MSC: 94C60 34A08 34D06 PDFBibTeX XMLCite \textit{A. Akgül} et al., Chaos Solitons Fractals 152, Article ID 111306, 11 p. (2021; Zbl 1497.94209) Full Text: DOI
Li, Yi Xia; Alshehri, Maryam G.; Algehyne, Ebrahem A.; Ali, Aatif; Khan, Muhammad Altaf; Muhammad, Taseer; Islam, Saeed Fractional study of Huanglongbing model with singular and non-singular kernel. (English) Zbl 1485.92142 Chaos Solitons Fractals 148, Article ID 111037, 21 p. (2021). MSC: 92D30 92C80 34A08 34D35 PDFBibTeX XMLCite \textit{Y. X. Li} et al., Chaos Solitons Fractals 148, Article ID 111037, 21 p. (2021; Zbl 1485.92142) Full Text: DOI
Alshomrani, Ali Saleh; Ullah, Malik Zaka; Baleanu, Dumitru A new approach on the modelling, chaos control and synchronization of a fractional biological oscillator. (English) Zbl 1487.92004 Adv. Difference Equ. 2021, Paper No. 63, 20 p. (2021). MSC: 92B05 34H10 34C15 34D06 PDFBibTeX XMLCite \textit{A. S. Alshomrani} et al., Adv. Difference Equ. 2021, Paper No. 63, 20 p. (2021; Zbl 1487.92004) Full Text: DOI
Kumar, Surendra; Sharma, Abhishek; Pal Singh, Harendra Convergence and global stability analysis of fractional delay block boundary value methods for fractional differential equations with delay. (English) Zbl 1498.65110 Chaos Solitons Fractals 144, Article ID 110648, 12 p. (2021). MSC: 65L03 34K37 65L05 65L20 PDFBibTeX XMLCite \textit{S. Kumar} et al., Chaos Solitons Fractals 144, Article ID 110648, 12 p. (2021; Zbl 1498.65110) Full Text: DOI
Wu, Cong Advances in analysis of Caputo fractional-order nonautonomous systems: from stability to global uniform asymptotic stability. (English) Zbl 1492.34064 Fractals 29, No. 4, Article ID 2150092, 17 p. (2021). MSC: 34D20 26A33 34K37 34A08 PDFBibTeX XMLCite \textit{C. Wu}, Fractals 29, No. 4, Article ID 2150092, 17 p. (2021; Zbl 1492.34064) Full Text: DOI
Higazy, M.; El-Mesady, A.; Mahdy, A. M. S.; Ullah, Sami; Al-Ghamdi, A. Numerical, approximate solutions, and optimal control on the deathly Lassa hemorrhagic fever disease in pregnant women. (English) Zbl 1480.92105 J. Funct. Spaces 2021, Article ID 2444920, 15 p. (2021). MSC: 92C50 35R11 65M55 PDFBibTeX XMLCite \textit{M. Higazy} et al., J. Funct. Spaces 2021, Article ID 2444920, 15 p. (2021; Zbl 1480.92105) Full Text: DOI
Douaifia, Redouane; Bendoukha, Samir; Abdelmalek, Salem A Newton interpolation based predictor-corrector numerical method for fractional differential equations with an activator-inhibitor case study. (English) Zbl 07428965 Math. Comput. Simul. 187, 391-413 (2021). MSC: 65-XX 41-XX PDFBibTeX XMLCite \textit{R. Douaifia} et al., Math. Comput. Simul. 187, 391--413 (2021; Zbl 07428965) Full Text: DOI arXiv
Jesus, Carla; Sousa, Ercília Numerical solutions for asymmetric Lévy flights. (English) Zbl 1476.65173 Numer. Algorithms 87, No. 3, 967-999 (2021). MSC: 65M06 65M12 65M80 60G51 60G50 42A38 26A33 35R11 PDFBibTeX XMLCite \textit{C. Jesus} and \textit{E. Sousa}, Numer. Algorithms 87, No. 3, 967--999 (2021; Zbl 1476.65173) Full Text: DOI
Tavares, Camila A.; Santos, Taináh M. R.; Lemes, Nelson H. T.; dos Santos, José P. C.; Ferreira, José C.; Braga, João P. Solving ill-posed problems faster using fractional-order Hopfield neural network. (English) Zbl 1452.65130 J. Comput. Appl. Math. 381, Article ID 112984, 13 p. (2021). MSC: 65L08 34A08 PDFBibTeX XMLCite \textit{C. A. Tavares} et al., J. Comput. Appl. Math. 381, Article ID 112984, 13 p. (2021; Zbl 1452.65130) Full Text: DOI
Abdo, Mohammed S.; Abdeljawad, Thabet; Ali, Saeed M.; Shah, Kamal; Jarad, Fahd Existence of positive solutions for weighted fractional order differential equations. (English) Zbl 1496.34006 Chaos Solitons Fractals 141, Article ID 110341, 9 p. (2020). MSC: 34A08 34A12 34B18 47H10 PDFBibTeX XMLCite \textit{M. S. Abdo} et al., Chaos Solitons Fractals 141, Article ID 110341, 9 p. (2020; Zbl 1496.34006) Full Text: DOI
Higazy, M. Novel fractional order SIDARTHE mathematical model of COVID-19 pandemic. (English) Zbl 1490.92088 Chaos Solitons Fractals 138, Article ID 110007, 19 p. (2020). MSC: 92D30 92C60 26A33 34A08 PDFBibTeX XMLCite \textit{M. Higazy}, Chaos Solitons Fractals 138, Article ID 110007, 19 p. (2020; Zbl 1490.92088) Full Text: DOI
Helikumi, Mlyashimbi; Kgosimore, Moatlhodi; Kuznetsov, Dmitry; Mushayabasa, Steady A fractional-order Trypanosoma brucei rhodesiense model with vector saturation and temperature dependent parameters. (English) Zbl 1482.92068 Adv. Difference Equ. 2020, Paper No. 284, 23 p. (2020). MSC: 92D25 34A08 92D30 65L20 34A25 PDFBibTeX XMLCite \textit{M. Helikumi} et al., Adv. Difference Equ. 2020, Paper No. 284, 23 p. (2020; Zbl 1482.92068) Full Text: DOI
Milici, Constantin; Machado, José Tenreiro; Drăgănescu, Gheorghe Application of the Euler and Runge-Kutta generalized methods for FDE and symbolic packages in the analysis of some fractional attractors. (English) Zbl 07201330 Int. J. Nonlinear Sci. Numer. Simul. 21, No. 2, 159-170 (2020). MSC: 65-XX 34-XX PDFBibTeX XMLCite \textit{C. Milici} et al., Int. J. Nonlinear Sci. Numer. Simul. 21, No. 2, 159--170 (2020; Zbl 07201330) Full Text: DOI
Asl, Mohammad Shahbazi; Javidi, Mohammad; Ahmad, Bashir New predictor-corrector approach for nonlinear fractional differential equations: error analysis and stability. (English) Zbl 1462.65078 J. Appl. Anal. Comput. 9, No. 4, 1527-1557 (2019). MSC: 65L05 34A08 45D05 65L20 PDFBibTeX XMLCite \textit{M. S. Asl} et al., J. Appl. Anal. Comput. 9, No. 4, 1527--1557 (2019; Zbl 1462.65078) Full Text: DOI
Silva, Cristiana J.; Torres, Delfim F. M. Stability of a fractional HIV/AIDS model. (English) Zbl 07316729 Math. Comput. Simul. 164, 180-190 (2019). MSC: 92Dxx 34Dxx 49Kxx 34Cxx PDFBibTeX XMLCite \textit{C. J. Silva} and \textit{D. F. M. Torres}, Math. Comput. Simul. 164, 180--190 (2019; Zbl 07316729) Full Text: DOI arXiv Link
Wu, Cong; Liu, Xinzhi Lyapunov and external stability of Caputo fractional order switching systems. (English) Zbl 1434.93071 Nonlinear Anal., Hybrid Syst. 34, 131-146 (2019). MSC: 93D05 93C30 26A33 PDFBibTeX XMLCite \textit{C. Wu} and \textit{X. Liu}, Nonlinear Anal., Hybrid Syst. 34, 131--146 (2019; Zbl 1434.93071) Full Text: DOI
Ren, Jiaojiao; Wu, Cong Advances in Lyapunov theory of Caputo fractional-order systems. (English) Zbl 1431.34011 Nonlinear Dyn. 97, No. 4, 2521-2531 (2019). MSC: 34A08 26A33 34D20 PDFBibTeX XMLCite \textit{J. Ren} and \textit{C. Wu}, Nonlinear Dyn. 97, No. 4, 2521--2531 (2019; Zbl 1431.34011) Full Text: DOI
Rajagopal, Karthikeyan; Akgul, Akif; Pham, Viet-Thanh; Alsaadi, Fawaz E.; Nazarimehr, Fahimeh; Alsaadi, Fuad E.; Jafari, Sajad Multistability and coexisting attractors in a new circulant chaotic system. (English) Zbl 1436.34050 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 13, Article ID 1950174, 18 p. (2019). MSC: 34C60 94C05 34A08 34C23 34C28 37D45 34D20 94C60 PDFBibTeX XMLCite \textit{K. Rajagopal} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 13, Article ID 1950174, 18 p. (2019; Zbl 1436.34050) Full Text: DOI
Baleanu, D.; Jajarmi, A.; Sajjadi, S. S.; Mozyrska, D. A new fractional model and optimal control of a tumor-immune surveillance with non-singular derivative operator. (English) Zbl 1420.92039 Chaos 29, No. 8, 083127, 15 p. (2019). MSC: 92C42 34A08 92D25 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Chaos 29, No. 8, 083127, 15 p. (2019; Zbl 1420.92039) Full Text: DOI
Jaber, Eduardo Abi; El Euch, Omar Multifactor approximation of rough volatility models. (English) Zbl 1422.91765 SIAM J. Financ. Math. 10, No. 2, 309-349 (2019). MSC: 91G60 65L05 91G20 91B70 26A33 PDFBibTeX XMLCite \textit{E. A. Jaber} and \textit{O. El Euch}, SIAM J. Financ. Math. 10, No. 2, 309--349 (2019; Zbl 1422.91765) Full Text: DOI arXiv
D’Ovidio, Mirko; Loreti, Paola; Sarv Ahrabi, Sima Modified fractional logistic equation. (English) Zbl 1514.34017 Physica A 505, 818-824 (2018). MSC: 34A08 35B40 35R11 PDFBibTeX XMLCite \textit{M. D'Ovidio} et al., Physica A 505, 818--824 (2018; Zbl 1514.34017) Full Text: DOI arXiv Link
Ongun, Mevlude Yakit; Arslan, Damla Explicit and implicit schemes for fractional-order Hantavirus model. (English) Zbl 07497028 Iran. J. Numer. Anal. Optim. 8, No. 2, 75-93 (2018). MSC: 92D30 34A08 34A34 65L12 PDFBibTeX XMLCite \textit{M. Y. Ongun} and \textit{D. Arslan}, Iran. J. Numer. Anal. Optim. 8, No. 2, 75--93 (2018; Zbl 07497028) Full Text: DOI
Dabiri, Arman; Butcher, Eric A. Numerical solution of multi-order fractional differential equations with multiple delays via spectral collocation methods. (English) Zbl 1480.65158 Appl. Math. Modelling 56, 424-448 (2018). MSC: 65L03 34K37 65L60 PDFBibTeX XMLCite \textit{A. Dabiri} and \textit{E. A. Butcher}, Appl. Math. Modelling 56, 424--448 (2018; Zbl 1480.65158) Full Text: DOI
Hamdan, Nur ’Izzati; Kilicman, Adem A fractional order SIR epidemic model for dengue transmission. (English) Zbl 1415.92179 Chaos Solitons Fractals 114, 55-62 (2018). MSC: 92D30 34K60 34K37 PDFBibTeX XMLCite \textit{N. Hamdan} and \textit{A. Kilicman}, Chaos Solitons Fractals 114, 55--62 (2018; Zbl 1415.92179) Full Text: DOI
Jannelli, Alessandra; Ruggieri, Marianna; Speciale, Maria Paola Exact and numerical solutions of time-fractional advection-diffusion equation with a nonlinear source term by means of the Lie symmetries. (English) Zbl 1398.34019 Nonlinear Dyn. 92, No. 2, 543-555 (2018). MSC: 34A08 34C14 65L12 PDFBibTeX XMLCite \textit{A. Jannelli} et al., Nonlinear Dyn. 92, No. 2, 543--555 (2018; Zbl 1398.34019) Full Text: DOI
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
Čermák, Jan; Nechvátal, Luděk Local bifurcations and chaos in the fractional Rössler system. (English) Zbl 1397.34018 Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 8, Article ID 1850098, 17 p. (2018). MSC: 34A08 34A34 34C05 34C23 34D08 34C28 PDFBibTeX XMLCite \textit{J. Čermák} and \textit{L. Nechvátal}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 28, No. 8, Article ID 1850098, 17 p. (2018; Zbl 1397.34018) Full Text: DOI
Popolizio, Marina Numerical solution of multiterm fractional differential equations using the matrix Mittag-Leffler functions. (English) Zbl 06916882 Mathematics 6, No. 1, Paper No. 7, 13 p. (2018). MSC: 65-XX 34-XX 60-XX PDFBibTeX XMLCite \textit{M. Popolizio}, Mathematics 6, No. 1, Paper No. 7, 13 p. (2018; Zbl 06916882) Full Text: DOI
Zhu, Huijian; Zeng, Caibin A novel chaotification scheme for fractional system and its application. (English) Zbl 1395.34012 J. Comput. Appl. Math. 339, 275-284 (2018). Reviewer: Thanin Sitthiwirattham (Bangkok) MSC: 34A08 34C28 37D45 34D45 PDFBibTeX XMLCite \textit{H. Zhu} and \textit{C. Zeng}, J. Comput. Appl. Math. 339, 275--284 (2018; Zbl 1395.34012) Full Text: DOI
Dabiri, Arman; Butcher, Eric A. Efficient modified Chebyshev differentiation matrices for fractional differential equations. (English) Zbl 1510.65170 Commun. Nonlinear Sci. Numer. Simul. 50, 284-310 (2017). MSC: 65L60 34A08 PDFBibTeX XMLCite \textit{A. Dabiri} and \textit{E. A. Butcher}, Commun. Nonlinear Sci. Numer. Simul. 50, 284--310 (2017; Zbl 1510.65170) Full Text: DOI
Ameen, I.; Novati, P. The solution of fractional order epidemic model by implicit Adams methods. (English) Zbl 1446.92004 Appl. Math. Modelling 43, 78-84 (2017). MSC: 92-10 92D30 92-08 PDFBibTeX XMLCite \textit{I. Ameen} and \textit{P. Novati}, Appl. Math. Modelling 43, 78--84 (2017; Zbl 1446.92004) Full Text: DOI Link
Eshaghi, Jafar; Adibi, Hojatollah; Kazem, Saeed On a numerical investigation of the time fractional Fokker-Planck equation via local discontinuous Galerkin method. (English) Zbl 1417.65169 Int. J. Comput. Math. 94, No. 9, 1916-1942 (2017). Reviewer: Baasansuren Jadamba (Rochester) MSC: 65M60 35Q84 35R11 65M06 65M12 33E12 82C31 PDFBibTeX XMLCite \textit{J. Eshaghi} et al., Int. J. Comput. Math. 94, No. 9, 1916--1942 (2017; Zbl 1417.65169) Full Text: DOI
Dabiri, Arman; Butcher, Eric A. Stable fractional Chebyshev differentiation matrix for the numerical solution of multi-order fractional differential equations. (English) Zbl 1390.34017 Nonlinear Dyn. 90, No. 1, 185-201 (2017). MSC: 34A08 37D45 PDFBibTeX XMLCite \textit{A. Dabiri} and \textit{E. A. Butcher}, Nonlinear Dyn. 90, No. 1, 185--201 (2017; Zbl 1390.34017) Full Text: DOI
Lin, Xiaofang; Liao, Binghui; Zeng, Caibin The onset of chaos via asymptotically period-doubling cascade in fractional order Lorenz system. (English) Zbl 1382.34007 Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 13, Article ID 1750207, 12 p. (2017). MSC: 34A08 34C23 34C28 34D08 34A34 PDFBibTeX XMLCite \textit{X. Lin} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 27, No. 13, Article ID 1750207, 12 p. (2017; Zbl 1382.34007) Full Text: DOI
Zheng, Mingwen; Li, Lixiang; Peng, Haipeng; Xiao, Jinghua; Yang, Yixian; Zhao, Hui Finite-time projective synchronization of memristor-based delay fractional-order neural networks. (English) Zbl 1377.93074 Nonlinear Dyn. 89, No. 4, 2641-2655 (2017). MSC: 93B52 34D06 34A08 92B20 PDFBibTeX XMLCite \textit{M. Zheng} et al., Nonlinear Dyn. 89, No. 4, 2641--2655 (2017; Zbl 1377.93074) Full Text: DOI
Jahanshahi, S.; Babolian, E.; Torres, D. F. M.; Vahidi, A. R. A fractional Gauss-Jacobi quadrature rule for approximating fractional integrals and derivatives. (English) Zbl 1422.65057 Chaos Solitons Fractals 102, 295-304 (2017). MSC: 65D32 26A33 49K05 PDFBibTeX XMLCite \textit{S. Jahanshahi} et al., Chaos Solitons Fractals 102, 295--304 (2017; Zbl 1422.65057) Full Text: DOI arXiv
Chidouh, Amar; Guezane-Lakoud, Assia; Bebbouchi, Rachid Positive solutions of the fractional relaxation equation using lower and upper solutions. (English) Zbl 1358.34009 Vietnam J. Math. 44, No. 4, 739-748 (2016). MSC: 34A08 34A12 33E12 47N20 PDFBibTeX XMLCite \textit{A. Chidouh} et al., Vietnam J. Math. 44, No. 4, 739--748 (2016; Zbl 1358.34009) Full Text: DOI
Mohamed, Adel S.; Mahmoud, R. A. Picard, Adomian and predictor-corrector methods for an initial value problem of arbitrary (fractional) orders differential equation. (English) Zbl 1342.34016 J. Egypt. Math. Soc. 24, No. 2, 165-170 (2016). MSC: 34A08 34A12 34A45 65L05 PDFBibTeX XMLCite \textit{A. S. Mohamed} and \textit{R. A. Mahmoud}, J. Egypt. Math. Soc. 24, No. 2, 165--170 (2016; Zbl 1342.34016) Full Text: DOI
Garrappa, Roberto Trapezoidal methods for fractional differential equations: theoretical and computational aspects. (English) Zbl 07313349 Math. Comput. Simul. 110, 96-112 (2015). MSC: 34A08 65L05 65L20 PDFBibTeX XMLCite \textit{R. Garrappa}, Math. Comput. Simul. 110, 96--112 (2015; Zbl 07313349) Full Text: DOI arXiv
Bologna, Mauro; Svenkeson, Adam; West, Bruce J.; Grigolini, Paolo Diffusion in heterogeneous media: an iterative scheme for finding approximate solutions to fractional differential equations with time-dependent coefficients. (English) Zbl 1349.82003 J. Comput. Phys. 293, 297-311 (2015). MSC: 82-08 65M99 82C80 35R11 PDFBibTeX XMLCite \textit{M. Bologna} et al., J. Comput. Phys. 293, 297--311 (2015; Zbl 1349.82003) Full Text: DOI
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
Area, Ivan; Batarfi, Hanan; Losada, Jorge; Nieto, Juan J.; Shammakh, Wafa; Torres, Ángela On a fractional order Ebola epidemic model. (English) Zbl 1344.92150 Adv. Difference Equ. 2015, Paper No. 278, 12 p. (2015). MSC: 92D30 34A08 PDFBibTeX XMLCite \textit{I. Area} et al., Adv. Difference Equ. 2015, Paper No. 278, 12 p. (2015; Zbl 1344.92150) Full Text: DOI
Garrappa, Roberto; Popolizio, Marina Exponential quadrature rules for linear fractional differential equations. (English) Zbl 1314.65093 Mediterr. J. Math. 12, No. 1, 219-244 (2015). Reviewer: Narahari Parhi (Bhubaneswar) MSC: 65L05 34A30 34A08 PDFBibTeX XMLCite \textit{R. Garrappa} and \textit{M. Popolizio}, Mediterr. J. Math. 12, No. 1, 219--244 (2015; Zbl 1314.65093) Full Text: DOI arXiv
Mazandarani, Mehran; Najariyan, Marzieh Type-2 fuzzy fractional derivatives. (English) Zbl 1457.34005 Commun. Nonlinear Sci. Numer. Simul. 19, No. 7, 2354-2372 (2014). MSC: 34A07 34A08 39A13 PDFBibTeX XMLCite \textit{M. Mazandarani} and \textit{M. Najariyan}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 7, 2354--2372 (2014; Zbl 1457.34005) Full Text: DOI
Tian, Jinglei; Yu, Yongguang; Wang, Hu Stability and bifurcation of two kinds of three-dimensional fractional Lotka-Volterra systems. (English) Zbl 1407.34016 Math. Probl. Eng. 2014, Article ID 695871, 8 p. (2014). MSC: 34A08 34C23 34D20 92D25 PDFBibTeX XMLCite \textit{J. Tian} et al., Math. Probl. Eng. 2014, Article ID 695871, 8 p. (2014; Zbl 1407.34016) Full Text: DOI
Yu, Q.; Liu, F.; Turner, I.; Burrage, K. Numerical simulation of the fractional Bloch equations. (English) Zbl 1291.65224 J. Comput. Appl. Math. 255, 635-651 (2014). MSC: 65L06 65L20 26A33 PDFBibTeX XMLCite \textit{Q. Yu} et al., J. Comput. Appl. Math. 255, 635--651 (2014; Zbl 1291.65224) Full Text: DOI
Zhang, Kun; Wang, Hua; Fang, Hui Feedback control and hybrid projective synchronization of a fractional-order Newton-Leipnik system. (English) Zbl 1248.93074 Commun. Nonlinear Sci. Numer. Simul. 17, No. 1, 317-328 (2012). MSC: 93B52 34H10 34D06 PDFBibTeX XMLCite \textit{K. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 1, 317--328 (2012; Zbl 1248.93074) Full Text: DOI
Matouk, A. E. Chaos, feedback control and synchronization of a fractional-order modified autonomous Van der Pol-Duffing circuit. (English) Zbl 1221.93227 Commun. Nonlinear Sci. Numer. Simul. 16, No. 2, 975-986 (2011). MSC: 93D15 34A08 37D45 37N35 PDFBibTeX XMLCite \textit{A. E. Matouk}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 2, 975--986 (2011; Zbl 1221.93227) Full Text: DOI
Abd-Elouahab, Mohammed Salah; Hamri, Nasr-Eddine; Wang, Junwei Chaos control of a fractional-order financial system. (English) Zbl 1195.91185 Math. Probl. Eng. 2010, Article ID 270646, 18 p. (2010). MSC: 91G80 34H10 37N40 37D45 PDFBibTeX XMLCite \textit{M. S. Abd-Elouahab} et al., Math. Probl. Eng. 2010, Article ID 270646, 18 p. (2010; Zbl 1195.91185) Full Text: DOI EuDML
El-Sayed, A. M. A.; El-Mesiry, A. E. M.; El-Saka, H. A. A. On the fractional-order logistic equation. (English) Zbl 1140.34302 Appl. Math. Lett. 20, No. 7, 817-823 (2007). Reviewer: Samir B. Hadid (Ajman) MSC: 34A12 26A33 34D20 PDFBibTeX XMLCite \textit{A. M. A. El-Sayed} et al., Appl. Math. Lett. 20, No. 7, 817--823 (2007; Zbl 1140.34302) Full Text: DOI
Ahmed, E.; El-Sayed, A. M. A.; El-Saka, H. A. A. Equilibrium points, stability and numerical solutions of fractional-order predator-prey and rabies models. (English) Zbl 1105.65122 J. Math. Anal. Appl. 325, No. 1, 542-553 (2007). MSC: 65R20 92D30 45J05 26A33 PDFBibTeX XMLCite \textit{E. Ahmed} et al., J. Math. Anal. Appl. 325, No. 1, 542--553 (2007; Zbl 1105.65122) Full Text: DOI
Saha Ray, S.; Chaudhuri, K. S.; Bera, R. K. Analytical approximate solution of nonlinear dynamic system containing fractional derivative by modified decomposition method. (English) Zbl 1108.65129 Appl. Math. Comput. 182, No. 1, 544-552 (2006). MSC: 65R20 45J05 45G10 26A33 PDFBibTeX XMLCite \textit{S. Saha Ray} et al., Appl. Math. Comput. 182, No. 1, 544--552 (2006; Zbl 1108.65129) Full Text: DOI
Saha Ray, S.; Bera, R. K. Analytical solution of a fractional diffusion equation by Adomian decomposition method. (English) Zbl 1089.65108 Appl. Math. Comput. 174, No. 1, 329-336 (2006). MSC: 65M70 26A33 35K55 PDFBibTeX XMLCite \textit{S. Saha Ray} and \textit{R. K. Bera}, Appl. Math. Comput. 174, No. 1, 329--336 (2006; Zbl 1089.65108) Full Text: DOI
Diethelm, Kai; Ford, Judith M.; Ford, Neville J.; Weilbeer, Marc Pitfalls in fast numerical solvers for fractional differential equations. (English) Zbl 1078.65550 J. Comput. Appl. Math. 186, No. 2, 482-503 (2006). MSC: 65L05 PDFBibTeX XMLCite \textit{K. Diethelm} et al., J. Comput. Appl. Math. 186, No. 2, 482--503 (2006; Zbl 1078.65550) Full Text: DOI
Saha Ray, S.; Bera, R. K. Analytical solution of the Bagley-Torvik equation by Adomian decomposition method. (English) Zbl 1109.65072 Appl. Math. Comput. 168, No. 1, 398-410 (2005). MSC: 65L99 26A33 34A08 PDFBibTeX XMLCite \textit{S. Saha Ray} and \textit{R. K. Bera}, Appl. Math. Comput. 168, No. 1, 398--410 (2005; Zbl 1109.65072) Full Text: DOI
Seredyńska, M.; Hanyga, A. Nonlinear differential equations with fractional damping with applications to the 1dof and 2dof pendulum. (English) Zbl 1069.70012 Acta Mech. 176, No. 3-4, 169-183 (2005). MSC: 70K40 34A12 PDFBibTeX XMLCite \textit{M. Seredyńska} and \textit{A. Hanyga}, Acta Mech. 176, No. 3--4, 169--183 (2005; Zbl 1069.70012) Full Text: DOI
El-Mesiry, A. E. M.; El-Sayed, A. M. A.; El-Saka, H. A. A. Numerical methods for multi-term fractional (arbitrary) orders differential equations. (English) Zbl 1062.65073 Appl. Math. Comput. 160, No. 3, 683-699 (2005). MSC: 65L05 65L06 26A33 34A34 PDFBibTeX XMLCite \textit{A. E. M. El-Mesiry} et al., Appl. Math. Comput. 160, No. 3, 683--699 (2005; Zbl 1062.65073) Full Text: DOI
El-Sayed, A. M. A.; El-Mesiry, A. E. M.; El-Saka, H. A. A. Numerical solution for multi-term fractional (arbitrary) orders differential equations. (English) Zbl 1213.34025 Comput. Appl. Math. 23, No. 1, 33-54 (2004). MSC: 34A99 PDFBibTeX XMLCite \textit{A. M. A. El-Sayed} et al., Comput. Appl. Math. 23, No. 1, 33--54 (2004; Zbl 1213.34025) Full Text: Link
Diethelm, Kai; Ford, Neville J. Multi-order fractional differential equations and their numerical solution. (English) Zbl 1060.65070 Appl. Math. Comput. 154, No. 3, 621-640 (2004). Reviewer: Lubomír Bakule (Praha) MSC: 65L05 65L20 34A34 26A33 65L06 PDFBibTeX XMLCite \textit{K. Diethelm} and \textit{N. J. Ford}, Appl. Math. Comput. 154, No. 3, 621--640 (2004; Zbl 1060.65070) Full Text: DOI