Terpák, Ján General one-dimensional model of the time-fractional diffusion-wave equation in various geometries. (English) Zbl 1511.35375 Fract. Calc. Appl. Anal. 26, No. 2, 599-618 (2023). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{J. Terpák}, Fract. Calc. Appl. Anal. 26, No. 2, 599--618 (2023; Zbl 1511.35375) Full Text: DOI
Lan, Kunquan Linear first order Riemann-Liouville fractional differential and perturbed Abel’s integral equations. (English) Zbl 1490.34007 J. Differ. Equations 306, 28-59 (2022); corrigendum ibid. 345, 519-520 (2023). Reviewer: Neville Ford (Chester) MSC: 34A08 26A33 34A12 45D05 PDFBibTeX XMLCite \textit{K. Lan}, J. Differ. Equations 306, 28--59 (2022; Zbl 1490.34007) Full Text: DOI
Rida, Saad Z.; Farghaly, Ahmed A.; Hussien, Fatma The effect of feedback controls on stability in a fractional-order SI epidemic model. (English) Zbl 1492.34061 Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 143, 12 p. (2021). MSC: 34C60 34A08 92D25 93B52 34C05 34D20 34D05 PDFBibTeX XMLCite \textit{S. Z. Rida} et al., Int. J. Appl. Comput. Math. 7, No. 4, Paper No. 143, 12 p. (2021; Zbl 1492.34061) Full Text: DOI
Karimian, Malek; Naderi, Bashir; Edrisi, Tabriz Yousef Sensitivity analytic and synchronization of a new fractional-order financial system. (English) Zbl 1499.34273 Comput. Methods Differ. Equ. 9, No. 3, 788-798 (2021). MSC: 34C60 91G99 34A08 34D20 93C15 34D06 PDFBibTeX XMLCite \textit{M. Karimian} et al., Comput. Methods Differ. Equ. 9, No. 3, 788--798 (2021; Zbl 1499.34273) Full Text: DOI
Das, Meghadri; Samanta, G. P. Evolutionary dynamics of a competitive fractional order model under the influence of toxic substances. (English) Zbl 1478.92152 S\(\vec{\text{e}}\)MA J. 78, No. 4, 595-621 (2021). MSC: 92D25 34A08 34D23 PDFBibTeX XMLCite \textit{M. Das} and \textit{G. P. Samanta}, S\(\vec{\text{e}}\)MA J. 78, No. 4, 595--621 (2021; Zbl 1478.92152) Full Text: DOI
Chen, Yuli; Liu, Fawang; Yu, Qiang; Li, Tianzeng Review of fractional epidemic models. (English) Zbl 1481.92135 Appl. Math. Modelling 97, 281-307 (2021). MSC: 92D30 26A33 34A08 34C60 PDFBibTeX XMLCite \textit{Y. Chen} et al., Appl. Math. Modelling 97, 281--307 (2021; Zbl 1481.92135) Full Text: DOI
Selvam, A. George Maria; Janagaraj, R.; Dhineshbabu, R. Analysis of novel corona virus (COVID-19) pandemic with fractional-order Caputo-Fabrizio operator and impact of vaccination. (English) Zbl 1477.34073 Shah, Nita H. (ed.) et al., Mathematical analysis for transmission of COVID-19. Singapore: Springer. Math. Eng. (Cham), 225-252 (2021). MSC: 34C60 92C60 34A08 34C05 34D20 34D05 PDFBibTeX XMLCite \textit{A. G. M. Selvam} et al., in: Mathematical analysis for transmission of COVID-19. Singapore: Springer. 225--252 (2021; Zbl 1477.34073) Full Text: DOI
Mpeshe, Saul C. Fractional-order derivative model of rift valley fever in urban peridomestic cycle. (English) Zbl 1465.92123 Discrete Dyn. Nat. Soc. 2021, Article ID 2941961, 11 p. (2021). MSC: 92D30 34A08 34C60 PDFBibTeX XMLCite \textit{S. C. Mpeshe}, Discrete Dyn. Nat. Soc. 2021, Article ID 2941961, 11 p. (2021; Zbl 1465.92123) Full Text: DOI
Tvyordyj, D. A. Hereditary Riccati equation with fractional derivative of variable order. (English. Russian original) Zbl 1472.65005 J. Math. Sci., New York 253, No. 4, 564-572 (2021); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 154, 105-112 (2018). MSC: 65-04 65L03 34A08 PDFBibTeX XMLCite \textit{D. A. Tvyordyj}, J. Math. Sci., New York 253, No. 4, 564--572 (2021; Zbl 1472.65005); translation from Itogi Nauki Tekh., Ser. Sovrem. Mat. Prilozh., Temat. Obz. 154, 105--112 (2018) Full Text: DOI
Deniz, Sinan On the stability analysis of the time-fractional variable order Klein-Gordon equation and a numerical simulation. (English) Zbl 1489.65121 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 69, No. 1, 981-992 (2020). MSC: 65M06 35L20 35R11 65M12 PDFBibTeX XMLCite \textit{S. Deniz}, Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 69, No. 1, 981--992 (2020; Zbl 1489.65121) Full Text: DOI
Mondal, Shuvojit; Biswas, Milan; Bairagi, Nandadulal Local and global dynamics of a fractional-order predator-prey system with habitat complexity and the corresponding discretized fractional-order system. (English) Zbl 1489.34073 J. Appl. Math. Comput. 63, No. 1-2, 311-340 (2020). MSC: 34C60 34A08 92D25 26A33 34C05 34D20 34C23 39A12 PDFBibTeX XMLCite \textit{S. Mondal} et al., J. Appl. Math. Comput. 63, No. 1--2, 311--340 (2020; Zbl 1489.34073) Full Text: DOI arXiv
Balcı, Ercan; Kartal, Senol; Öztürk, İlhan Fractional order turbidostat model with the discrete delay of digestion. (English) Zbl 1464.34106 Int. J. Appl. Comput. Math. 6, No. 4, Paper No. 96, 12 p. (2020). MSC: 34K60 34K37 92D25 34K21 34K20 34K18 34K13 PDFBibTeX XMLCite \textit{E. Balcı} et al., Int. J. Appl. Comput. Math. 6, No. 4, Paper No. 96, 12 p. (2020; Zbl 1464.34106) Full Text: DOI
Datsko, Bohdan Complex dynamics in basic two-component auto-oscillation systems with fractional derivatives of different orders. (English) Zbl 1427.93084 Malinowska, Agnieszka B. (ed.) et al., Advances in non-integer order calculus and its applications. Proceedings of the 10th international conference on non-integer order calculus and its applications, Bialystok University of Technology, Białystok, Poland, September 20–21, 2018. Cham: Springer. Lect. Notes Electr. Eng. 559, 99-112 (2020). MSC: 93C15 93B52 26A33 93C10 PDFBibTeX XMLCite \textit{B. Datsko}, Lect. Notes Electr. Eng. 559, 99--112 (2020; Zbl 1427.93084) Full Text: DOI
Balcı, Ercan; Öztürk, İlhan; Kartal, Senol Dynamical behaviour of fractional order tumor model with Caputo and conformable fractional derivative. (English) Zbl 1448.92095 Chaos Solitons Fractals 123, 43-51 (2019). MSC: 92C50 34A08 34D05 34C23 34C60 PDFBibTeX XMLCite \textit{E. Balcı} et al., Chaos Solitons Fractals 123, 43--51 (2019; Zbl 1448.92095) Full Text: DOI
Moroz, L. I.; Maslovskaya, A. G. Hybrid stochastic fractal-based approach to modelling ferroelectrics switching kinetics in injection mode. (Russian. English summary) Zbl 1441.93296 Mat. Model. 31, No. 9, 131-144 (2019). MSC: 93E03 93C30 28A80 93C15 26A33 PDFBibTeX XMLCite \textit{L. I. Moroz} and \textit{A. G. Maslovskaya}, Mat. Model. 31, No. 9, 131--144 (2019; Zbl 1441.93296) Full Text: DOI MNR
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
Fernandez, Arran; Özarslan, Mehmet Ali; Baleanu, Dumitru On fractional calculus with general analytic kernels. (English) Zbl 1428.26011 Appl. Math. Comput. 354, 248-265 (2019). MSC: 26A33 33E12 45D05 PDFBibTeX XMLCite \textit{A. Fernandez} et al., Appl. Math. Comput. 354, 248--265 (2019; Zbl 1428.26011) Full Text: DOI arXiv
Tvërdyĭ, D. A. The Cauchy problem for the Riccati equation with variable power memory and non-constant coeffcients. (Russian. English summary) Zbl 1408.34056 Vestn. KRAUNTS, Fiz.-Mat. Nauki 2018, No. 3(23), 148-157 (2018). MSC: 34K28 34K37 PDFBibTeX XMLCite \textit{D. A. Tvërdyĭ}, Vestn. KRAUNTS, Fiz.-Mat. Nauki 2018, No. 3(23), 148--157 (2018; Zbl 1408.34056) Full Text: DOI MNR
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
Charef, Abdelfatah; Charef, Mohamed; Djouambi, Abdelbaki; Voda, Alina New perspectives of analog and digital simulations of fractional order systems. (English) Zbl 1451.93162 Arch. Control Sci. 27, No. 1, 91-118 (2017). MSC: 93C15 26A33 93C62 93-10 PDFBibTeX XMLCite \textit{A. Charef} et al., Arch. Control Sci. 27, No. 1, 91--118 (2017; Zbl 1451.93162) Full Text: DOI
Arshad, Muhammad; Lu, Dianchen; Wang, Jun \((N+1)\)-dimensional fractional reduced differential transform method for fractional order partial differential equations. (English) Zbl 1510.65277 Commun. Nonlinear Sci. Numer. Simul. 48, 509-519 (2017). MSC: 65M99 35R11 PDFBibTeX XMLCite \textit{M. Arshad} et al., Commun. Nonlinear Sci. Numer. Simul. 48, 509--519 (2017; Zbl 1510.65277) 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
Cao, Xuenian; Cao, Xianxian; Wen, Liping The implicit midpoint method for the modified anomalous sub-diffusion equation with a nonlinear source term. (English) Zbl 1357.65149 J. Comput. Appl. Math. 318, 199-210 (2017). MSC: 65M20 35K55 35R11 65M12 65M06 PDFBibTeX XMLCite \textit{X. Cao} et al., J. Comput. Appl. Math. 318, 199--210 (2017; Zbl 1357.65149) Full Text: DOI
Khoshsiar Ghaziani, R.; Alidousti, Javad; Eshkaftaki, A. Bayati Stability and dynamics of a fractional order Leslie-Gower prey-predator model. (English) Zbl 1452.92035 Appl. Math. Modelling 40, No. 3, 2075-2086 (2016). MSC: 92D25 34A08 34C60 PDFBibTeX XMLCite \textit{R. Khoshsiar Ghaziani} et al., Appl. Math. Modelling 40, No. 3, 2075--2086 (2016; Zbl 1452.92035) Full Text: DOI
Wang, Hua; Liang, Hang-Feng; Zan, Peng; Miao, Zhong-Hua A new scheme on synchronization of commensurate fractional-order chaotic systems based on Lyapunov equation. (English) Zbl 1398.93147 J. Control Sci. Eng. 2016, Article ID 5975491, 8 p. (2016). MSC: 93C15 93C41 93D05 34A08 34H10 93C73 PDFBibTeX XMLCite \textit{H. Wang} et al., J. Control Sci. Eng. 2016, Article ID 5975491, 8 p. (2016; Zbl 1398.93147) Full Text: DOI
Wen, Shao-Fang; Shen, Yong-Jun; Wang, Xiao-Na; Yang, Shao-Pu; Xing, Hai-Jun Dynamical analysis of strongly nonlinear fractional-order Mathieu-Duffing equation. (English) Zbl 1378.34020 Chaos 26, No. 8, 084309, 8 p. (2016). MSC: 34A08 34C25 34C60 PDFBibTeX XMLCite \textit{S.-F. Wen} et al., Chaos 26, No. 8, 084309, 8 p. (2016; Zbl 1378.34020) Full Text: DOI
Gómez-Aguilar, J. F.; Rosales-García, J.; Escobar-Jiménez, R. F.; López-López, M. G.; Alvarado-Martínez, V. M.; Olivares-Peregrino, V. H. On the possibility of the jerk derivative in electrical circuits. (English) Zbl 1357.34086 Adv. Math. Phys. 2016, Article ID 9740410, 8 p. (2016). MSC: 34C60 34A08 94C05 PDFBibTeX XMLCite \textit{J. F. Gómez-Aguilar} et al., Adv. Math. Phys. 2016, Article ID 9740410, 8 p. (2016; Zbl 1357.34086) Full Text: DOI
Shen, Yongjun; Yang, Shaopu; Sui, Chuanyi Analysis on limit cycle of fractional-order van der Pol oscillator. (English) Zbl 1349.34019 Chaos Solitons Fractals 67, 94-102 (2014). MSC: 34A08 34K37 34K07 34C60 PDFBibTeX XMLCite \textit{Y. Shen} et al., Chaos Solitons Fractals 67, 94--102 (2014; Zbl 1349.34019) Full Text: DOI
Busłowicz, Mikołaj Frequency domain method for stability analysis of linear continuous-time state-space systems with double fractional orders. (English) Zbl 1271.93115 Mitkowski, Wojciech (ed.) et al., Advances in the theory and applications of non-integer order systems. 5th conference on non-integer order calculus and its applications, Cracow, Poland, July 4–5, 2013. Cham: Springer (ISBN 978-3-319-00932-2/hbk; 978-3-319-00933-9/ebook). Lecture Notes in Electrical Engineering 257, 31-39 (2013). MSC: 93D09 93C80 34A08 PDFBibTeX XMLCite \textit{M. Busłowicz}, Lect. Notes Electr. Eng. 257, 31--39 (2013; Zbl 1271.93115) Full Text: DOI
Aghajani, Asadollah; Jalilian, Yaghoub; Trujillo, Juan J. On the existence of solutions of fractional integro-differential equations. (English) Zbl 1279.45008 Fract. Calc. Appl. Anal. 15, No. 1, 44-69 (2012). Reviewer: Iulian Stoleriu (Iaşi) MSC: 45J05 45G10 26A33 PDFBibTeX XMLCite \textit{A. Aghajani} et al., Fract. Calc. Appl. Anal. 15, No. 1, 44--69 (2012; Zbl 1279.45008) Full Text: DOI