Borges, Vinícius S.; Silva, Magno T. M.; Eisencraft, Marcio Chaotic properties of an FIR filtered Hénon map. (English) Zbl 07810043 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107845, 13 p. (2024). MSC: 94A12 93E11 37D45 37M25 37M15 37N10 65P20 PDFBibTeX XMLCite \textit{V. S. Borges} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107845, 13 p. (2024; Zbl 07810043) Full Text: DOI arXiv
Marciniak, Karol; Saleem, Faisal; Wiora, Józef Influence of models approximating the fractional-order differential equations on the calculation accuracy. (English) Zbl 07810013 Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107807, 18 p. (2024). MSC: 41-XX 65-XX 34A08 PDFBibTeX XMLCite \textit{K. Marciniak} et al., Commun. Nonlinear Sci. Numer. Simul. 131, Article ID 107807, 18 p. (2024; Zbl 07810013) Full Text: DOI
Duhé, Jean-François; Victor, Stéphane; Melchior, Pierre; Abdelmounen, Youssef; Roubertie, François Fractional derivative truncation approximation for real-time applications. (English) Zbl 07656602 Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107096, 20 p. (2023). Reviewer: Hira Waheed (Peshawar) MSC: 34A08 93B30 PDFBibTeX XMLCite \textit{J.-F. Duhé} et al., Commun. Nonlinear Sci. Numer. Simul. 119, Article ID 107096, 20 p. (2023; Zbl 07656602) Full Text: DOI
Heydari, M. H.; Razzaghi, M.; Baleanu, D. A numerical method based on the piecewise Jacobi functions for distributed-order fractional Schrödinger equation. (English) Zbl 07609370 Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106873, 15 p. (2023). MSC: 65Mxx PDFBibTeX XMLCite \textit{M. H. Heydari} et al., Commun. Nonlinear Sci. Numer. Simul. 116, Article ID 106873, 15 p. (2023; Zbl 07609370) Full Text: DOI
Ding, Yucai; Mei, Xu; Cheng, Jun; Shi, Kaibo \(L_\infty\)-gain filtering of semi-Markov jump systems subjected to persistent bounded disturbances. (English) Zbl 1498.93737 Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106778, 15 p. (2022). MSC: 93E11 93C73 93D25 PDFBibTeX XMLCite \textit{Y. Ding} et al., Commun. Nonlinear Sci. Numer. Simul. 115, Article ID 106778, 15 p. (2022; Zbl 1498.93737) Full Text: DOI
Joujehi, A. Soltani; Derakhshan, M. H.; Marasi, H. R. An efficient hybrid numerical method for multi-term time fractional partial differential equations in fluid mechanics with convergence and error analysis. (English) Zbl 1502.65161 Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106620, 20 p. (2022). MSC: 65M70 65T60 65H10 65M12 76A10 26A33 35R11 PDFBibTeX XMLCite \textit{A. S. Joujehi} et al., Commun. Nonlinear Sci. Numer. Simul. 114, Article ID 106620, 20 p. (2022; Zbl 1502.65161) Full Text: DOI
Bhalekar, Sachin; Gade, Prashant M. Stability analysis of fixed point of fractional-order coupled map lattices. (English) Zbl 1491.39006 Commun. Nonlinear Sci. Numer. Simul. 113, Article ID 106587, 15 p. (2022). MSC: 39A30 39A13 26A33 15A18 PDFBibTeX XMLCite \textit{S. Bhalekar} and \textit{P. M. Gade}, Commun. Nonlinear Sci. Numer. Simul. 113, Article ID 106587, 15 p. (2022; Zbl 1491.39006) Full Text: DOI arXiv
Malti, Rachid; Mayoufi, Abir; Victor, Stéphane Experiment design for elementary fractional models. (English) Zbl 1490.93027 Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106337, 13 p. (2022). MSC: 93B30 26A33 93-05 PDFBibTeX XMLCite \textit{R. Malti} et al., Commun. Nonlinear Sci. Numer. Simul. 110, Article ID 106337, 13 p. (2022; Zbl 1490.93027) Full Text: DOI
Zhang, Hao; Zheng, Mingwen; Zhang, Yanping; Yu, Xiao; Li, Wenchao; Gao, Hui Application of ESN prediction model based on compressed sensing in stock market. (English) Zbl 1468.91157 Commun. Nonlinear Sci. Numer. Simul. 101, Article ID 105857, 15 p. (2021). MSC: 91G15 68T07 62M10 PDFBibTeX XMLCite \textit{H. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 101, Article ID 105857, 15 p. (2021; Zbl 1468.91157) Full Text: DOI
Lopes, António M.; Machado, J. A. Tenreiro Multidimensional scaling analysis of generalized mean discrete-time fractional order controllers. (English) Zbl 1458.93114 Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105657, 12 p. (2021). MSC: 93C15 26A33 93C55 PDFBibTeX XMLCite \textit{A. M. Lopes} and \textit{J. A. T. Machado}, Commun. Nonlinear Sci. Numer. Simul. 95, Article ID 105657, 12 p. (2021; Zbl 1458.93114) Full Text: DOI
Ducharne, Benjamin; Tsafack, P.; Tene Deffo, Y. A.; Zhang, B.; Sebald, G. Anomalous fractional magnetic field diffusion through cross-section of a massive toroidal ferromagnetic core. (English) Zbl 1471.78012 Commun. Nonlinear Sci. Numer. Simul. 92, Article ID 105450, 12 p. (2021). Reviewer: Roland Pulch (Greifswald) MSC: 78M20 78A55 78A25 65M06 65N06 65F10 35Q60 35R11 PDFBibTeX XMLCite \textit{B. Ducharne} et al., Commun. Nonlinear Sci. Numer. Simul. 92, Article ID 105450, 12 p. (2021; Zbl 1471.78012) Full Text: DOI HAL
Tenreiro Machado, J. A.; Abedi Pahnehkolaei, Seyed Mehdi; Alfi, Alireza Complex-order particle swarm optimization. (English) Zbl 1454.90116 Commun. Nonlinear Sci. Numer. Simul. 92, Article ID 105448, 37 p. (2021). MSC: 90C59 PDFBibTeX XMLCite \textit{J. A. Tenreiro Machado} et al., Commun. Nonlinear Sci. Numer. Simul. 92, Article ID 105448, 37 p. (2021; Zbl 1454.90116) Full Text: DOI
Garrappa, Roberto; Kaslik, Eva On initial conditions for fractional delay differential equations. (English) Zbl 1480.34103 Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105359, 16 p. (2020). Reviewer: Linfang Liu (Xi’an) MSC: 34K37 44A10 65C20 PDFBibTeX XMLCite \textit{R. Garrappa} and \textit{E. Kaslik}, Commun. Nonlinear Sci. Numer. Simul. 90, Article ID 105359, 16 p. (2020; Zbl 1480.34103) Full Text: DOI arXiv
Chen, Yebin; Zhang, Zhi; Liu, Yajuan; Zhou, Jianping; Wang, Zhen Resilient input-to-state stable filter design for nonlinear time-delay systems. (English) Zbl 1451.93329 Commun. Nonlinear Sci. Numer. Simul. 89, Article ID 105335, 15 p. (2020). MSC: 93D25 93E11 93C43 93C10 PDFBibTeX XMLCite \textit{Y. Chen} et al., Commun. Nonlinear Sci. Numer. Simul. 89, Article ID 105335, 15 p. (2020; Zbl 1451.93329) Full Text: DOI
Zhang, Boyi; Shang, Pengjian Measuring information transfer by dispersion transfer entropy. (English) Zbl 1451.62014 Commun. Nonlinear Sci. Numer. Simul. 89, Article ID 105329, 12 p. (2020). MSC: 62B10 62M10 62P20 91B84 PDFBibTeX XMLCite \textit{B. Zhang} and \textit{P. Shang}, Commun. Nonlinear Sci. Numer. Simul. 89, Article ID 105329, 12 p. (2020; Zbl 1451.62014) Full Text: DOI
Hua, Mengjiao; Lei, Youming; Du, Lin Onset of stochastic synchronization induced by diffusion processes in a generalized Duffing system. (English) Zbl 1461.60066 Commun. Nonlinear Sci. Numer. Simul. 83, Article ID 105098, 8 p. (2020). MSC: 60J60 37D45 37N35 93D15 PDFBibTeX XMLCite \textit{M. Hua} et al., Commun. Nonlinear Sci. Numer. Simul. 83, Article ID 105098, 8 p. (2020; Zbl 1461.60066) Full Text: DOI
Bel Haj Frej, Ghazi; Malti, Rachid; Aoun, Mohamed; Raïssi, Tarek Fractional interval observers and initialization of fractional systems. (English) Zbl 1451.93136 Commun. Nonlinear Sci. Numer. Simul. 82, Article ID 105030, 14 p. (2020). MSC: 93B53 93C15 26A33 93C05 PDFBibTeX XMLCite \textit{G. Bel Haj Frej} et al., Commun. Nonlinear Sci. Numer. Simul. 82, Article ID 105030, 14 p. (2020; Zbl 1451.93136) Full Text: DOI HAL
Stefański, Tomasz P.; Gulgowski, Jacek Signal propagation in electromagnetic media described by fractional-order models. (English) Zbl 1451.78013 Commun. Nonlinear Sci. Numer. Simul. 82, Article ID 105029, 16 p. (2020). MSC: 78A25 78A40 35R11 26A33 78M99 65T50 PDFBibTeX XMLCite \textit{T. P. Stefański} and \textit{J. Gulgowski}, Commun. Nonlinear Sci. Numer. Simul. 82, Article ID 105029, 16 p. (2020; Zbl 1451.78013) Full Text: DOI
Ortigueira, Manuel D.; Tenreiro Machado, J. On the properties of some operators under the perspective of fractional system theory. (English) Zbl 1468.34012 Commun. Nonlinear Sci. Numer. Simul. 82, Article ID 105022, 8 p. (2020). Reviewer: Stig-Olof Londen (Aalto) MSC: 34A08 34K37 93C23 26A33 PDFBibTeX XMLCite \textit{M. D. Ortigueira} and \textit{J. Tenreiro Machado}, Commun. Nonlinear Sci. Numer. Simul. 82, Article ID 105022, 8 p. (2020; Zbl 1468.34012) Full Text: DOI
Hai, Xudong; Ren, Guojian; Yu, Yongguang; Xu, Conghui; Zeng, Yanxiang Pinning synchronization of fractional and impulsive complex networks via event-triggered strategy. (English) Zbl 1457.93058 Commun. Nonlinear Sci. Numer. Simul. 82, Article ID 105017, 14 p. (2020). Reviewer: Tiit Riismaa (Tallinn) MSC: 93C65 93C27 93B70 26A33 PDFBibTeX XMLCite \textit{X. Hai} et al., Commun. Nonlinear Sci. Numer. Simul. 82, Article ID 105017, 14 p. (2020; Zbl 1457.93058) Full Text: DOI
Yang, Jianhua; Zhang, Shuai; Sanjuán, Miguel A. F.; Liu, Houguang Time-frequency analysis of a new aperiodic resonance. (English) Zbl 1458.94151 Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105258, 20 p. (2020). MSC: 94A12 42A38 PDFBibTeX XMLCite \textit{J. Yang} et al., Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105258, 20 p. (2020; Zbl 1458.94151) Full Text: DOI
Brechtl, Jamieson; Xie, Xie; Liaw, Peter K. Investigation of chaos and memory effects in the Bonhoeffer-van der Pol oscillator with a non-ideal capacitor. (English) Zbl 1466.70022 Commun. Nonlinear Sci. Numer. Simul. 73, 195-216 (2019). MSC: 70K55 34A08 78A30 PDFBibTeX XMLCite \textit{J. Brechtl} et al., Commun. Nonlinear Sci. Numer. Simul. 73, 195--216 (2019; Zbl 1466.70022) Full Text: DOI arXiv
Zahra, Waheed K.; Nasr, M. A. Exponentially fitted methods for solving two-dimensional time fractional damped Klein-Gordon equation with nonlinear source term. (English) Zbl 1464.65095 Commun. Nonlinear Sci. Numer. Simul. 73, 177-194 (2019). MSC: 65M06 65M12 65N12 65L70 PDFBibTeX XMLCite \textit{W. K. Zahra} and \textit{M. A. Nasr}, Commun. Nonlinear Sci. Numer. Simul. 73, 177--194 (2019; Zbl 1464.65095) Full Text: DOI
Wei, Yiheng; Chen, Yuquan; Wang, Jiachang; Wang, Yong Analysis and description of the infinite-dimensional nature for nabla discrete fractional order systems. (English) Zbl 1464.39018 Commun. Nonlinear Sci. Numer. Simul. 72, 472-492 (2019). MSC: 39A70 26A33 PDFBibTeX XMLCite \textit{Y. Wei} et al., Commun. Nonlinear Sci. Numer. Simul. 72, 472--492 (2019; Zbl 1464.39018) Full Text: DOI
Alves da Costa, Rafael; Eisencraft, Marcio Spectral characteristics of a general piecewise linear chaotic signal generator. (English) Zbl 1466.94010 Commun. Nonlinear Sci. Numer. Simul. 72, 441-448 (2019). MSC: 94A12 PDFBibTeX XMLCite \textit{R. Alves da Costa} and \textit{M. Eisencraft}, Commun. Nonlinear Sci. Numer. Simul. 72, 441--448 (2019; Zbl 1466.94010) Full Text: DOI
Ortigueira, Manuel D.; Valério, Duarte; Tenreiro Machado, J. Variable order fractional systems. (English) Zbl 1464.26007 Commun. Nonlinear Sci. Numer. Simul. 71, 231-243 (2019). MSC: 26A33 34A08 PDFBibTeX XMLCite \textit{M. D. Ortigueira} et al., Commun. Nonlinear Sci. Numer. Simul. 71, 231--243 (2019; Zbl 1464.26007) Full Text: DOI
Tenreiro Machado, J. A.; Lopes, António M. Fractional-order modeling of a diode. (English) Zbl 1464.82023 Commun. Nonlinear Sci. Numer. Simul. 70, 343-353 (2019). MSC: 82D55 PDFBibTeX XMLCite \textit{J. A. Tenreiro Machado} and \textit{A. M. Lopes}, Commun. Nonlinear Sci. Numer. Simul. 70, 343--353 (2019; Zbl 1464.82023) Full Text: DOI
Tenreiro Machado, J. Fractional derivatives and negative probabilities. (English) Zbl 1522.26007 Commun. Nonlinear Sci. Numer. Simul. 79, Article ID 104913, 9 p. (2019). MSC: 26A33 60A99 PDFBibTeX XMLCite \textit{J. Tenreiro Machado}, Commun. Nonlinear Sci. Numer. Simul. 79, Article ID 104913, 9 p. (2019; Zbl 1522.26007) Full Text: DOI
Li, Yan; Zhao, Daduan; Chen, YangQuan; Podlubny, Igor; Zhang, Chenghui Finite energy Lyapunov function candidate for fractional order general nonlinear systems. (English) Zbl 1479.34121 Commun. Nonlinear Sci. Numer. Simul. 78, Article ID 104886, 16 p. (2019). MSC: 34K20 34K21 34K37 34K50 93D30 PDFBibTeX XMLCite \textit{Y. Li} et al., Commun. Nonlinear Sci. Numer. Simul. 78, Article ID 104886, 16 p. (2019; Zbl 1479.34121) Full Text: DOI
Bhalekar, Sachin; Patil, Madhuri Can we split fractional derivative while analyzing fractional differential equations? (English) Zbl 1514.34012 Commun. Nonlinear Sci. Numer. Simul. 76, 12-24 (2019). MSC: 34A08 34A30 26A33 33E12 44A10 PDFBibTeX XMLCite \textit{S. Bhalekar} and \textit{M. Patil}, Commun. Nonlinear Sci. Numer. Simul. 76, 12--24 (2019; Zbl 1514.34012) Full Text: DOI arXiv
Hajipour, Mojtaba; Jajarmi, Amin; Baleanu, Dumitru; Sun, HongGuang On an accurate discretization of a variable-order fractional reaction-diffusion equation. (English) Zbl 1509.65071 Commun. Nonlinear Sci. Numer. Simul. 69, 119-133 (2019). MSC: 65M06 65N06 65H10 65M12 26A33 35R11 PDFBibTeX XMLCite \textit{M. Hajipour} et al., Commun. Nonlinear Sci. Numer. Simul. 69, 119--133 (2019; Zbl 1509.65071) Full Text: DOI
Angstmann, Christopher N.; Henry, Bruce I.; Jacobs, Byron A.; McGann, Anna V. An explicit numerical scheme for solving fractional order compartment models from the master equations of a stochastic process. (English) Zbl 1508.60071 Commun. Nonlinear Sci. Numer. Simul. 68, 188-202 (2019). MSC: 60H35 60G22 82C21 PDFBibTeX XMLCite \textit{C. N. Angstmann} et al., Commun. Nonlinear Sci. Numer. Simul. 68, 188--202 (2019; Zbl 1508.60071) Full Text: DOI
Lin, Guoxing General pulsed-field gradient signal attenuation expression based on a fractional integral modified-Bloch equation. (English) Zbl 1528.94016 Commun. Nonlinear Sci. Numer. Simul. 63, 404-420 (2018). MSC: 94A12 92C55 PDFBibTeX XMLCite \textit{G. Lin}, Commun. Nonlinear Sci. Numer. Simul. 63, 404--420 (2018; Zbl 1528.94016) Full Text: DOI arXiv
Abrashov, Sergey; Malti, Rachid; Moreau, Xavier; Moze, Mathieu; Aioun, François; Guillemard, Franck Optimal input design for continuous-time system identification. (English) Zbl 1470.93158 Commun. Nonlinear Sci. Numer. Simul. 60, 92-99 (2018). MSC: 93E12 90C47 90C90 PDFBibTeX XMLCite \textit{S. Abrashov} et al., Commun. Nonlinear Sci. Numer. Simul. 60, 92--99 (2018; Zbl 1470.93158) Full Text: DOI
Amina, Souyah; Mohamed, Faraoun Kamel An efficient and secure chaotic cipher algorithm for image content preservation. (English) Zbl 1470.94006 Commun. Nonlinear Sci. Numer. Simul. 60, 12-32 (2018). MSC: 94A08 92C55 PDFBibTeX XMLCite \textit{S. Amina} and \textit{F. K. Mohamed}, Commun. Nonlinear Sci. Numer. Simul. 60, 12--32 (2018; Zbl 1470.94006) Full Text: DOI
Baleanu, Dumitru; Fernandez, Arran On some new properties of fractional derivatives with Mittag-Leffler kernel. (English) Zbl 1510.34004 Commun. Nonlinear Sci. Numer. Simul. 59, 444-462 (2018). MSC: 34A08 PDFBibTeX XMLCite \textit{D. Baleanu} and \textit{A. Fernandez}, Commun. Nonlinear Sci. Numer. Simul. 59, 444--462 (2018; Zbl 1510.34004) Full Text: DOI arXiv
Nasser Eddine, Achraf; Huard, Benoît; Gabano, Jean-Denis; Poinot, Thierry Initialization of a fractional order identification algorithm applied for Lithium-ion battery modeling in time domain. (English) Zbl 1510.78026 Commun. Nonlinear Sci. Numer. Simul. 59, 375-386 (2018). MSC: 78A48 PDFBibTeX XMLCite \textit{A. Nasser Eddine} et al., Commun. Nonlinear Sci. Numer. Simul. 59, 375--386 (2018; Zbl 1510.78026) Full Text: DOI
Wu, Guo-Cheng; Baleanu, Dumitru; Zeng, Sheng-Da Finite-time stability of discrete fractional delay systems: Gronwall inequality and stability criterion. (English) Zbl 1510.39014 Commun. Nonlinear Sci. Numer. Simul. 57, 299-308 (2018). MSC: 39A30 39A13 93D40 26A33 PDFBibTeX XMLCite \textit{G.-C. Wu} et al., Commun. Nonlinear Sci. Numer. Simul. 57, 299--308 (2018; Zbl 1510.39014) Full Text: DOI
Lenka, Bichitra Kumar; Banerjee, Soumitro Sufficient conditions for asymptotic stability and stabilization of autonomous fractional order systems. (English) Zbl 1510.34017 Commun. Nonlinear Sci. Numer. Simul. 56, 365-379 (2018). MSC: 34A08 34H15 93D15 PDFBibTeX XMLCite \textit{B. K. Lenka} and \textit{S. Banerjee}, Commun. Nonlinear Sci. Numer. Simul. 56, 365--379 (2018; Zbl 1510.34017) Full Text: DOI
Ionescu, Claramihaela; Lopes, A.; Copot, Dana; Machado, J. A. T.; Bates, Jason H. T. The role of fractional calculus in modeling biological phenomena: a review. (English) Zbl 1467.92050 Commun. Nonlinear Sci. Numer. Simul. 51, 141-159 (2017). MSC: 92C30 92C10 PDFBibTeX XMLCite \textit{C. Ionescu} et al., Commun. Nonlinear Sci. Numer. Simul. 51, 141--159 (2017; Zbl 1467.92050) Full Text: DOI
Baleanu, Dumitru; Wu, Guo-Cheng; Bai, Yun-Ru; Chen, Fu-Lai Stability analysis of Caputo-like discrete fractional systems. (English) Zbl 1510.39013 Commun. Nonlinear Sci. Numer. Simul. 48, 520-530 (2017). MSC: 39A30 39A12 39A13 39A22 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Commun. Nonlinear Sci. Numer. Simul. 48, 520--530 (2017; Zbl 1510.39013) 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
Pahnehkolaei, Seyed Mehdi Abedi; Alfi, Alireza; Tenreiro Machado, J. A. Dynamic stability analysis of fractional order leaky integrator echo state neural networks. (English) Zbl 1510.68097 Commun. Nonlinear Sci. Numer. Simul. 47, 328-337 (2017). MSC: 68T07 PDFBibTeX XMLCite \textit{S. M. A. Pahnehkolaei} et al., Commun. Nonlinear Sci. Numer. Simul. 47, 328--337 (2017; Zbl 1510.68097) Full Text: DOI
Rui, Weiguo Applications of homogenous balanced principle on investigating exact solutions to a series of time fractional nonlinear PDEs. (English) Zbl 1510.35385 Commun. Nonlinear Sci. Numer. Simul. 47, 253-266 (2017). MSC: 35R11 PDFBibTeX XMLCite \textit{W. Rui}, Commun. Nonlinear Sci. Numer. Simul. 47, 253--266 (2017; Zbl 1510.35385) Full Text: DOI
Fiori, Simone Nonlinear damped oscillators on Riemannian manifolds: numerical simulation. (English) Zbl 1510.70040 Commun. Nonlinear Sci. Numer. Simul. 47, 207-222 (2017). MSC: 70G45 34C26 34C40 35R01 PDFBibTeX XMLCite \textit{S. Fiori}, Commun. Nonlinear Sci. Numer. Simul. 47, 207--222 (2017; Zbl 1510.70040) Full Text: DOI
Dai, Hongzhe; Zheng, Zhibao; Wang, Wei A new fractional wavelet transform. (English) Zbl 1472.42054 Commun. Nonlinear Sci. Numer. Simul. 44, 19-36 (2017). Reviewer: Bin Han (Edmonton) MSC: 42C40 94A12 PDFBibTeX XMLCite \textit{H. Dai} et al., Commun. Nonlinear Sci. Numer. Simul. 44, 19--36 (2017; Zbl 1472.42054) Full Text: DOI
Agarwal, Ravi; O’Regan, Donal; Hristova, S.; Cicek, M. Practical stability with respect to initial time difference for Caputo fractional differential equations. (English) Zbl 1473.34008 Commun. Nonlinear Sci. Numer. Simul. 42, 106-120 (2017). MSC: 34A12 34A08 PDFBibTeX XMLCite \textit{R. Agarwal} et al., Commun. Nonlinear Sci. Numer. Simul. 42, 106--120 (2017; Zbl 1473.34008) Full Text: DOI
Chen, Yuquan; Wei, Yiheng; Liang, Shu; Wang, Yong Indirect model reference adaptive control for a class of fractional order systems. (English) Zbl 1510.93139 Commun. Nonlinear Sci. Numer. Simul. 39, 458-471 (2016). MSC: 93C40 34A08 PDFBibTeX XMLCite \textit{Y. Chen} et al., Commun. Nonlinear Sci. Numer. Simul. 39, 458--471 (2016; Zbl 1510.93139) Full Text: DOI
Ortigueira, Manuel D.; Torres, Delfim F. M.; Trujillo, Juan J. Exponentials and Laplace transforms on nonuniform time scales. (English) Zbl 1510.44002 Commun. Nonlinear Sci. Numer. Simul. 39, 252-270 (2016). MSC: 44A10 26E70 34A08 34N05 39A12 93C57 PDFBibTeX XMLCite \textit{M. D. Ortigueira} et al., Commun. Nonlinear Sci. Numer. Simul. 39, 252--270 (2016; Zbl 1510.44002) Full Text: DOI arXiv
Fontes, Rodrigo T.; Eisencraft, Marcio A digital bandlimited chaos-based communication system. (English) Zbl 1473.94006 Commun. Nonlinear Sci. Numer. Simul. 37, 374-385 (2016). MSC: 94A05 94A12 37D45 PDFBibTeX XMLCite \textit{R. T. Fontes} and \textit{M. Eisencraft}, Commun. Nonlinear Sci. Numer. Simul. 37, 374--385 (2016; Zbl 1473.94006) Full Text: DOI
Colinas-Armijo, Natalia; Di Paola, Mario; Pinnola, Francesco P. Fractional characteristic times and dissipated energy in fractional linear viscoelasticity. (English) Zbl 1456.74025 Commun. Nonlinear Sci. Numer. Simul. 37, 14-30 (2016). MSC: 74D05 26A33 PDFBibTeX XMLCite \textit{N. Colinas-Armijo} et al., Commun. Nonlinear Sci. Numer. Simul. 37, 14--30 (2016; Zbl 1456.74025) Full Text: DOI
Tenreiro Machado, J. A. Entropy analysis of systems exhibiting negative probabilities. (English) Zbl 1470.37013 Commun. Nonlinear Sci. Numer. Simul. 36, 58-64 (2016). MSC: 37A50 60A99 PDFBibTeX XMLCite \textit{J. A. Tenreiro Machado}, Commun. Nonlinear Sci. Numer. Simul. 36, 58--64 (2016; Zbl 1470.37013) Full Text: DOI
Shi, Kaibo; Liu, Xinzhi; Zhu, Hong; Zhong, Shouming On designing stochastic sampled-data controller for master-slave synchronization of chaotic Lur’e system via a novel integral inequality. (English) Zbl 1510.34133 Commun. Nonlinear Sci. Numer. Simul. 34, 165-184 (2016). MSC: 34H10 34D06 37D45 93C57 93E03 PDFBibTeX XMLCite \textit{K. Shi} et al., Commun. Nonlinear Sci. Numer. Simul. 34, 165--184 (2016; Zbl 1510.34133) Full Text: DOI
Hesameddini, Esmail; Rahimi, Azam; Asadollahifard, Elham On the convergence of a new reliable algorithm for solving multi-order fractional differential equations. (English) Zbl 1510.65178 Commun. Nonlinear Sci. Numer. Simul. 34, 154-164 (2016). MSC: 65L99 34A08 PDFBibTeX XMLCite \textit{E. Hesameddini} et al., Commun. Nonlinear Sci. Numer. Simul. 34, 154--164 (2016; Zbl 1510.65178) Full Text: DOI
Chen, Dongyan; Xu, Long; Du, Junhua Optimal filtering for systems with finite-step autocorrelated process noises, random one-step sensor delay and missing measurements. (English) Zbl 1510.93312 Commun. Nonlinear Sci. Numer. Simul. 32, 211-224 (2016). MSC: 93E11 93E10 60G35 62M20 PDFBibTeX XMLCite \textit{D. Chen} et al., Commun. Nonlinear Sci. Numer. Simul. 32, 211--224 (2016; Zbl 1510.93312) Full Text: DOI
Tenreiro Machado, J. A. Fractional dynamics in the Rayleigh’s piston. (English) Zbl 1467.80006 Commun. Nonlinear Sci. Numer. Simul. 31, No. 1-3, 76-82 (2016). MSC: 80A99 26A33 60G22 PDFBibTeX XMLCite \textit{J. A. Tenreiro Machado}, Commun. Nonlinear Sci. Numer. Simul. 31, No. 1--3, 76--82 (2016; Zbl 1467.80006) Full Text: DOI Link
Wang, Jianjun; Zhang, Jing; Wang, Wendong; Yang, Chanyun A perturbation analysis of nonconvex block-sparse compressed sensing. (English) Zbl 1510.94066 Commun. Nonlinear Sci. Numer. Simul. 29, No. 1-3, 416-426 (2015). MSC: 94A12 90C25 90C90 PDFBibTeX XMLCite \textit{J. Wang} et al., Commun. Nonlinear Sci. Numer. Simul. 29, No. 1--3, 416--426 (2015; Zbl 1510.94066) Full Text: DOI
Torres Ledesma, César Existence and symmetric result for Liouville-Weyl fractional nonlinear Schrödinger equation. (English) Zbl 1457.34015 Commun. Nonlinear Sci. Numer. Simul. 27, No. 1-3, 314-327 (2015). MSC: 34A08 47J30 PDFBibTeX XMLCite \textit{C. Torres Ledesma}, Commun. Nonlinear Sci. Numer. Simul. 27, No. 1--3, 314--327 (2015; Zbl 1457.34015) Full Text: DOI arXiv
Zhang, Yushu; Xiao, Di; Wen, Wenying; Nan, Hai; Su, Moting Secure binary arithmetic coding based on digitalized modified logistic map and linear feedback shift register. (English) Zbl 1457.94086 Commun. Nonlinear Sci. Numer. Simul. 27, No. 1-3, 22-29 (2015). MSC: 94A55 68P20 PDFBibTeX XMLCite \textit{Y. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 27, No. 1--3, 22--29 (2015; Zbl 1457.94086) Full Text: DOI
Malti, Rachid; Chevrié, Mathieu; Farges, Christophe; Sabatier, Jocelyn \(H_2\)-norm of fractional transfer functions of implicit type. (English) Zbl 1440.93054 Commun. Nonlinear Sci. Numer. Simul. 26, No. 1-3, 223-237 (2015). MSC: 93B28 PDFBibTeX XMLCite \textit{R. Malti} et al., Commun. Nonlinear Sci. Numer. Simul. 26, No. 1--3, 223--237 (2015; Zbl 1440.93054) Full Text: DOI
Abedini, Mohammad; Nojoumian, Mohammad Ali; Salarieh, Hassan; Meghdari, Ali Model reference adaptive control in fractional order systems using discrete-time approximation methods. (English) Zbl 1440.93122 Commun. Nonlinear Sci. Numer. Simul. 25, No. 1-3, 27-40 (2015). MSC: 93C40 34A08 PDFBibTeX XMLCite \textit{M. Abedini} et al., Commun. Nonlinear Sci. Numer. Simul. 25, No. 1--3, 27--40 (2015; Zbl 1440.93122) Full Text: DOI
Machado, J. A. Tenreiro Matrix fractional systems. (English) Zbl 1463.37017 Commun. Nonlinear Sci. Numer. Simul. 25, No. 1-3, 10-18 (2015). MSC: 37C99 26A33 34A08 35R11 PDFBibTeX XMLCite \textit{J. A. T. Machado}, Commun. Nonlinear Sci. Numer. Simul. 25, No. 1--3, 10--18 (2015; Zbl 1463.37017) Full Text: DOI
Kanso, A.; Ghebleh, M. An efficient and robust image encryption scheme for medical applications. (English) Zbl 1440.92042 Commun. Nonlinear Sci. Numer. Simul. 24, No. 1-3, 98-116 (2015). MSC: 92C55 94A60 PDFBibTeX XMLCite \textit{A. Kanso} and \textit{M. Ghebleh}, Commun. Nonlinear Sci. Numer. Simul. 24, No. 1--3, 98--116 (2015; Zbl 1440.92042) Full Text: DOI
Ortigueira, Manuel D.; Rivero, Margarita; Trujillo, Juan J. From a generalised Helmholtz decomposition theorem to fractional Maxwell equations. (English) Zbl 1329.78042 Commun. Nonlinear Sci. Numer. Simul. 22, No. 1-3, 1036-1049 (2015). MSC: 78A30 PDFBibTeX XMLCite \textit{M. D. Ortigueira} et al., Commun. Nonlinear Sci. Numer. Simul. 22, No. 1--3, 1036--1049 (2015; Zbl 1329.78042) Full Text: DOI
Duarte-Mermoud, Manuel A.; Aguila-Camacho, Norelys; Gallegos, Javier A.; Castro-Linares, Rafael Using general quadratic Lyapunov functions to prove Lyapunov uniform stability for fractional order systems. (English) Zbl 1333.34007 Commun. Nonlinear Sci. Numer. Simul. 22, No. 1-3, 650-659 (2015). MSC: 34A08 34D20 26A33 PDFBibTeX XMLCite \textit{M. A. Duarte-Mermoud} et al., Commun. Nonlinear Sci. Numer. Simul. 22, No. 1--3, 650--659 (2015; Zbl 1333.34007) Full Text: DOI
Hu, Jian-Bing; Lu, Guo-Ping; Zhang, Shi-Bing; Zhao, Ling-Dong Lyapunov stability theorem about fractional system without and with delay. (English) Zbl 1311.34125 Commun. Nonlinear Sci. Numer. Simul. 20, No. 3, 905-913 (2015). MSC: 34D20 34A08 34K37 34K20 PDFBibTeX XMLCite \textit{J.-B. Hu} et al., Commun. Nonlinear Sci. Numer. Simul. 20, No. 3, 905--913 (2015; Zbl 1311.34125) Full Text: DOI
Butera, Salvatore; Di Paola, Mario Mellin transform approach for the solution of coupled systems of fractional differential equations. (English) Zbl 1311.34012 Commun. Nonlinear Sci. Numer. Simul. 20, No. 1, 32-38 (2015). MSC: 34A08 44A15 34A45 PDFBibTeX XMLCite \textit{S. Butera} and \textit{M. Di Paola}, Commun. Nonlinear Sci. Numer. Simul. 20, No. 1, 32--38 (2015; Zbl 1311.34012) Full Text: DOI arXiv
Chen, Yi; Tang, Xianhua The difference between a class of discrete fractional and integer order boundary value problems. (English) Zbl 1470.39044 Commun. Nonlinear Sci. Numer. Simul. 19, No. 12, 4057-4067 (2014). MSC: 39B05 26A33 PDFBibTeX XMLCite \textit{Y. Chen} and \textit{X. Tang}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 12, 4057--4067 (2014; Zbl 1470.39044) Full Text: DOI
Bolat, Yaşar On the oscillation of fractional-order delay differential equations with constant coefficients. (English) Zbl 1440.34067 Commun. Nonlinear Sci. Numer. Simul. 19, No. 11, 3988-3993 (2014). MSC: 34K11 34K37 PDFBibTeX XMLCite \textit{Y. Bolat}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 11, 3988--3993 (2014; Zbl 1440.34067) Full Text: DOI
Aribi, Asma; Farges, Christophe; Aoun, Mohamed; Melchior, Pierre; Najar, Slaheddine; Abdelkrim, Mohamed Naceur Fault detection based on fractional order models: application to diagnosis of thermal systems. (English) Zbl 1470.93112 Commun. Nonlinear Sci. Numer. Simul. 19, No. 10, 3679-3693 (2014). MSC: 93C95 94C12 PDFBibTeX XMLCite \textit{A. Aribi} et al., Commun. Nonlinear Sci. Numer. Simul. 19, No. 10, 3679--3693 (2014; Zbl 1470.93112) Full Text: DOI
Zhang, Leo Yu; Hu, Xiaobo; Liu, Yuansheng; Wong, Kwok-Wo; Gan, Jie A chaotic image encryption scheme owning temp-value feedback. (English) Zbl 1470.94100 Commun. Nonlinear Sci. Numer. Simul. 19, No. 10, 3653-3659 (2014). MSC: 94A60 93B52 PDFBibTeX XMLCite \textit{L. Y. Zhang} et al., Commun. Nonlinear Sci. Numer. Simul. 19, No. 10, 3653--3659 (2014; Zbl 1470.94100) Full Text: DOI arXiv
Tang, Yinggan; Li, Zhonghui; Guan, Xinping Identification of nonlinear system using extreme learning machine based Hammerstein model. (English) Zbl 1510.93337 Commun. Nonlinear Sci. Numer. Simul. 19, No. 9, 3171-3183 (2014). MSC: 93E12 65Qxx PDFBibTeX XMLCite \textit{Y. Tang} et al., Commun. Nonlinear Sci. Numer. Simul. 19, No. 9, 3171--3183 (2014; Zbl 1510.93337) Full Text: DOI
Aguila-Camacho, Norelys; Duarte-Mermoud, Manuel A.; Gallegos, Javier A. Lyapunov functions for fractional order systems. (English) Zbl 1510.34111 Commun. Nonlinear Sci. Numer. Simul. 19, No. 9, 2951-2957 (2014). MSC: 34D20 34A08 37C75 PDFBibTeX XMLCite \textit{N. Aguila-Camacho} et al., Commun. Nonlinear Sci. Numer. Simul. 19, No. 9, 2951--2957 (2014; Zbl 1510.34111) Full Text: DOI Link
Tenreiro Machado, J. Numerical analysis of the initial conditions in fractional systems. (English) Zbl 1510.65180 Commun. Nonlinear Sci. Numer. Simul. 19, No. 9, 2935-2941 (2014). MSC: 65L99 34A08 PDFBibTeX XMLCite \textit{J. Tenreiro Machado}, Commun. Nonlinear Sci. Numer. Simul. 19, No. 9, 2935--2941 (2014; Zbl 1510.65180) Full Text: DOI Link
Feltekh, Kais; Jemaa, Zouhair Ben; Fournier-Prunaret, Danièle; Belghith, Safya Border collision bifurcations and power spectral density of chaotic signals generated by one-dimensional discontinuous piecewise linear maps. (English) Zbl 1510.37069 Commun. Nonlinear Sci. Numer. Simul. 19, No. 8, 2771-2784 (2014). MSC: 37E05 37G15 PDFBibTeX XMLCite \textit{K. Feltekh} et al., Commun. Nonlinear Sci. Numer. Simul. 19, No. 8, 2771--2784 (2014; Zbl 1510.37069) Full Text: DOI
Wu, Xiangjun; Bai, Chenxi; Kan, Haibin A new color image cryptosystem via hyperchaos synchronization. (English) Zbl 1457.94032 Commun. Nonlinear Sci. Numer. Simul. 19, No. 6, 1884-1897 (2014). MSC: 94A08 94A60 PDFBibTeX XMLCite \textit{X. Wu} et al., Commun. Nonlinear Sci. Numer. Simul. 19, No. 6, 1884--1897 (2014; Zbl 1457.94032) Full Text: DOI
Long, Shaohua; Zhong, Shouming; Zhu, Hong; Xiong, Lianglin Delay-dependent stochastic admissibility for a class of discrete-time nonlinear singular Markovian jump systems with time-varying delay. (English) Zbl 1470.93162 Commun. Nonlinear Sci. Numer. Simul. 19, No. 3, 673-685 (2014). MSC: 93E15 39A50 60J10 PDFBibTeX XMLCite \textit{S. Long} et al., Commun. Nonlinear Sci. Numer. Simul. 19, No. 3, 673--685 (2014; Zbl 1470.93162) Full Text: DOI
Zhang, Shuqin Existence result of solutions to differential equations of variable-order with nonlinear boundary value conditions. (English) Zbl 1344.34022 Commun. Nonlinear Sci. Numer. Simul. 18, No. 12, 3289-3297 (2013). MSC: 34A08 34B15 PDFBibTeX XMLCite \textit{S. Zhang}, Commun. Nonlinear Sci. Numer. Simul. 18, No. 12, 3289--3297 (2013; Zbl 1344.34022) Full Text: DOI
Yang, Zhihui; Cao, Jinde Initial value problems for arbitrary order fractional differential equations with delay. (English) Zbl 1329.34122 Commun. Nonlinear Sci. Numer. Simul. 18, No. 11, 2993-3005 (2013). MSC: 34K37 PDFBibTeX XMLCite \textit{Z. Yang} and \textit{J. Cao}, Commun. Nonlinear Sci. Numer. Simul. 18, No. 11, 2993--3005 (2013; Zbl 1329.34122) Full Text: DOI
Si, Gangquan; Sun, Zhiyong; Zhang, Hongying; Zhang, Yanbin Parameter estimation and topology identification of uncertain fractional order complex networks. (English) Zbl 1263.35218 Commun. Nonlinear Sci. Numer. Simul. 17, No. 12, 5158-5171 (2012). MSC: 35R11 90C35 PDFBibTeX XMLCite \textit{G. Si} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 12, 5158--5171 (2012; Zbl 1263.35218) Full Text: DOI
Ortigueira, Manuel D.; Trujillo, Juan J. A unified approach to fractional derivatives. (English) Zbl 1263.35217 Commun. Nonlinear Sci. Numer. Simul. 17, No. 12, 5151-5157 (2012). MSC: 35R11 26A33 PDFBibTeX XMLCite \textit{M. D. Ortigueira} and \textit{J. J. Trujillo}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 12, 5151--5157 (2012; Zbl 1263.35217) Full Text: DOI
Zhou, Junwei; Wong, Kwok-Wo; Chen, Jianyong Distributed source coding using chaos-based cryptosystem. (English) Zbl 1416.94036 Commun. Nonlinear Sci. Numer. Simul. 17, No. 12, 5110-5116 (2012). MSC: 94A29 PDFBibTeX XMLCite \textit{J. Zhou} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 12, 5110--5116 (2012; Zbl 1416.94036) Full Text: DOI
Song, Haiyu; Yu, Li; Zhang, Dan; Zhang, Wen-An Finite-time \(H_{\infty }\) control for a class of discrete-time switched time-delay systems with quantized feedback. (English) Zbl 1263.93072 Commun. Nonlinear Sci. Numer. Simul. 17, No. 12, 4802-4814 (2012). MSC: 93B36 93C55 93C30 PDFBibTeX XMLCite \textit{H. Song} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 12, 4802--4814 (2012; Zbl 1263.93072) Full Text: DOI
Senejohnny, Danial Mohammadi; Delavari, Hadi Active sliding observer scheme based fractional chaos synchronization. (English) Zbl 1253.34056 Commun. Nonlinear Sci. Numer. Simul. 17, No. 11, 4373-4383 (2012). MSC: 34H10 34A08 34D06 93B07 34C28 PDFBibTeX XMLCite \textit{D. M. Senejohnny} and \textit{H. Delavari}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 11, 4373--4383 (2012; Zbl 1253.34056) Full Text: DOI
Liu, Song; Li, Xiaoyan; Jiang, Wei; Zhou, Xianfeng Mittag-Leffler stability of nonlinear fractional neutral singular systems. (English) Zbl 1263.34012 Commun. Nonlinear Sci. Numer. Simul. 17, No. 10, 3961-3966 (2012). Reviewer: Krishnan Balachandran (Coimbatore) MSC: 34A08 34K20 34K37 34D20 PDFBibTeX XMLCite \textit{S. Liu} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 10, 3961--3966 (2012; Zbl 1263.34012) Full Text: DOI
Li, Xinxiu Numerical solution of fractional differential equations using cubic B-spline wavelet collocation method. (English) Zbl 1250.65094 Commun. Nonlinear Sci. Numer. Simul. 17, No. 10, 3934-3946 (2012). MSC: 65L05 34A08 34A30 65L60 65T60 PDFBibTeX XMLCite \textit{X. Li}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 10, 3934--3946 (2012; Zbl 1250.65094) Full Text: DOI
Balachandran, K.; Zhou, Yong; Kokila, J. Relative controllability of fractional dynamical systems with delays in control. (English) Zbl 1248.93022 Commun. Nonlinear Sci. Numer. Simul. 17, No. 9, 3508-3520 (2012). MSC: 93B05 34A08 26A33 PDFBibTeX XMLCite \textit{K. Balachandran} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 9, 3508--3520 (2012; Zbl 1248.93022) Full Text: DOI
Ding, Yucai; Zhu, Hong; Zhong, Shouming; Zhang, Yuping \(L_{2} - L_{\infty }\) filtering for Markovian jump systems with time-varying delays and partly unknown transition probabilities. (English) Zbl 1243.62118 Commun. Nonlinear Sci. Numer. Simul. 17, No. 7, 3070-3081 (2012). MSC: 62M20 60G35 15A45 65C60 PDFBibTeX XMLCite \textit{Y. Ding} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 7, 3070--3081 (2012; Zbl 1243.62118) Full Text: DOI
Zhu, Li; Fan, Qibin Solving fractional nonlinear Fredholm integro-differential equations by the second kind Chebyshev wavelet. (English) Zbl 1335.45002 Commun. Nonlinear Sci. Numer. Simul. 17, No. 6, 2333-2341 (2012). MSC: 45B05 34K07 34K35 PDFBibTeX XMLCite \textit{L. Zhu} and \textit{Q. Fan}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 6, 2333--2341 (2012; Zbl 1335.45002) Full Text: DOI
Lakestani, Mehrdad; Dehghan, Mehdi; Irandoust-Pakchin, Safar The construction of operational matrix of fractional derivatives using B-spline functions. (English) Zbl 1276.65015 Commun. Nonlinear Sci. Numer. Simul. 17, No. 3, 1149-1162 (2012). MSC: 65D25 65D07 35R11 65M99 26A33 34K37 34A08 PDFBibTeX XMLCite \textit{M. Lakestani} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 3, 1149--1162 (2012; Zbl 1276.65015) Full Text: DOI
Liang, Taonian; Chen, Jianjun; Lei, Chuang Algorithm of robust stability region for interval plant with time delay using fractional order \(PI^{\lambda }D^{\mu }\) controller. (English) Zbl 1239.93090 Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 979-991 (2012). MSC: 93D09 93B51 34A08 PDFBibTeX XMLCite \textit{T. Liang} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 979--991 (2012; Zbl 1239.93090) Full Text: DOI
Wang, Dongling; Xiao, Aiguo Fractional variational integrators for fractional variational problems. (English) Zbl 1239.49028 Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 602-610 (2012). MSC: 49K15 34A08 49M30 PDFBibTeX XMLCite \textit{D. Wang} and \textit{A. Xiao}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 2, 602--610 (2012; Zbl 1239.49028) Full Text: DOI
Yin, Chun; Zhong, Shou-ming; Chen, Wu-fan Design of sliding mode controller for a class of fractional-order chaotic systems. (English) Zbl 1248.93041 Commun. Nonlinear Sci. Numer. Simul. 17, No. 1, 356-366 (2012). MSC: 93B12 34A08 37N35 93C15 PDFBibTeX XMLCite \textit{C. Yin} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 1, 356--366 (2012; Zbl 1248.93041) Full Text: DOI
Abdeljawad, Thabet; Baleanu, Dumitru Caputo \(q\)-fractional initial value problems and a \(q\)-analogue Mittag-Leffler function. (English) Zbl 1231.26006 Commun. Nonlinear Sci. Numer. Simul. 16, No. 12, 4682-4688 (2011). MSC: 26A33 26E70 PDFBibTeX XMLCite \textit{T. Abdeljawad} and \textit{D. Baleanu}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 12, 4682--4688 (2011; Zbl 1231.26006) Full Text: DOI arXiv
Asheghan, Mohammad Mostafa; Beheshti, Mohammad Taghi Hamidi; Tavazoei, Mohammad Saleh Comments on “Synchronization and anti-synchronization of new uncertain fractional-order modified unified chaotic systems via novel active pinning control”. (English) Zbl 1222.34060 Commun. Nonlinear Sci. Numer. Simul. 16, No. 6, 2656-2657 (2011). MSC: 34D06 34A08 34A33 37D45 37N35 93D15 PDFBibTeX XMLCite \textit{M. M. Asheghan} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 6, 2656--2657 (2011; Zbl 1222.34060) Full Text: DOI
Asheghan, Mohammad Mostafa; Beheshti, Mohammad Taghi Hamidi; Tavazoei, Mohammad Saleh Robust synchronization of perturbed Chen’s fractional-order chaotic systems. (English) Zbl 1221.34007 Commun. Nonlinear Sci. Numer. Simul. 16, No. 2, 1044-1051 (2011). MSC: 34A08 37D45 PDFBibTeX XMLCite \textit{M. M. Asheghan} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 2, 1044--1051 (2011; Zbl 1221.34007) Full Text: DOI
Arroyo, David; Alvarez, Gonzalo; Amigó, José María; Li, Shujun Cryptanalysis of a family of self-synchronizing chaotic stream ciphers. (English) Zbl 1221.94040 Commun. Nonlinear Sci. Numer. Simul. 16, No. 2, 805-813 (2011). MSC: 94A60 37D45 37N35 PDFBibTeX XMLCite \textit{D. Arroyo} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 2, 805--813 (2011; Zbl 1221.94040) Full Text: DOI arXiv Link
Ortigueira, Manuel D.; Rodríguez-Germá, Luis; Trujillo, Juan J. Complex Grünwald-Letnikov, Liouville, Riemann-Liouville, and Caputo derivatives for analytic functions. (English) Zbl 1221.30091 Commun. Nonlinear Sci. Numer. Simul. 16, No. 11, 4174-4182 (2011). MSC: 30E99 26A33 PDFBibTeX XMLCite \textit{M. D. Ortigueira} et al., Commun. Nonlinear Sci. Numer. Simul. 16, No. 11, 4174--4182 (2011; Zbl 1221.30091) Full Text: DOI
Ur Rehman, Mujeeb; Ali Khan, Rahmat The Legendre wavelet method for solving fractional differential equations. (English) Zbl 1222.65063 Commun. Nonlinear Sci. Numer. Simul. 16, No. 11, 4163-4173 (2011). MSC: 65L05 65L10 34A34 34B15 34A08 PDFBibTeX XMLCite \textit{M. Ur Rehman} and \textit{R. Ali Khan}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 11, 4163--4173 (2011; Zbl 1222.65063) Full Text: DOI
Raïssi, Tarek Reliable amplitude and frequency estimation for biased and noisy signals. (English) Zbl 1226.94008 Commun. Nonlinear Sci. Numer. Simul. 16, No. 11, 4153-4157 (2011). MSC: 94A12 PDFBibTeX XMLCite \textit{T. Raïssi}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 11, 4153--4157 (2011; Zbl 1226.94008) Full Text: DOI