Yang, Guang; Wu, Guo-Cheng; Fu, Hui Discrete fractional calculus with exponential memory: propositions, numerical schemes and asymptotic stability. (English) Zbl 07824367 Nonlinear Anal., Model. Control 29, No. 1, 32-52 (2024). MSC: 39A13 39A30 39A70 26A33 PDFBibTeX XMLCite \textit{G. Yang} et al., Nonlinear Anal., Model. Control 29, No. 1, 32--52 (2024; Zbl 07824367) Full Text: DOI
Wu, Guo-Cheng; Wei, Jia-Li; Xia, Tie-Cheng Multi-layer neural networks for data-driven learning of fractional difference equations’ stability, periodicity and chaos. (English) Zbl 07808034 Physica D 457, Article ID 133980, 8 p. (2024). MSC: 39A30 39A23 39A33 39A13 26A33 68T07 PDFBibTeX XMLCite \textit{G.-C. Wu} et al., Physica D 457, Article ID 133980, 8 p. (2024; Zbl 07808034) Full Text: DOI
Wu, Guo-Cheng; Wei, Jia-Li; Luo, Maokang Right fractional calculus to inverse-time chaotic maps and asymptotic stability analysis. (English) Zbl 07775577 J. Difference Equ. Appl. 29, No. 9-12, 1140-1155 (2023). Reviewer: Wengui Yang (Sanmenxia) MSC: 39A33 39A13 39A30 65Q10 26A33 PDFBibTeX XMLCite \textit{G.-C. Wu} et al., J. Difference Equ. Appl. 29, No. 9--12, 1140--1155 (2023; Zbl 07775577) Full Text: DOI
Wu, Guo-Cheng; Shiri, Babak; Fan, Qin; Feng, Hua-Rong Terminal value problems of non-homogeneous fractional linear systems with general memory kernels. (English) Zbl 1509.34017 J. Nonlinear Math. Phys. 30, No. 1, 303-314 (2023). MSC: 34A08 34A45 26A33 45D05 45B05 45L05 PDFBibTeX XMLCite \textit{G.-C. Wu} et al., J. Nonlinear Math. Phys. 30, No. 1, 303--314 (2023; Zbl 1509.34017) Full Text: DOI
Luo, Cheng; Wu, Guo-Cheng; Huang, Lan-Lan Fractional uncertain differential equations with general memory effects: existences and \(\alpha\)-path solutions. (English) Zbl 1512.34012 Nonlinear Anal., Model. Control 28, No. 1, 152-179 (2023). MSC: 34A08 60G99 60H10 PDFBibTeX XMLCite \textit{C. Luo} et al., Nonlinear Anal., Model. Control 28, No. 1, 152--179 (2023; Zbl 1512.34012) Full Text: DOI
Wu, Guo-Cheng; Kong, Hua; Luo, Maokang; Fu, Hui; Huang, Lan-Lan Unified predictor-corrector method for fractional differential equations with general kernel functions. (English) Zbl 1503.65146 Fract. Calc. Appl. Anal. 25, No. 2, 648-667 (2022). MSC: 65L05 34A08 PDFBibTeX XMLCite \textit{G.-C. Wu} et al., Fract. Calc. Appl. Anal. 25, No. 2, 648--667 (2022; Zbl 1503.65146) Full Text: DOI
Song, Ting-Ting; Wu, Guo-Cheng; Wei, Jia-Li Hadamard fractional calculus on time scales. (English) Zbl 1515.26032 Fractals 30, No. 7, Article ID 2250145, 14 p. (2022). MSC: 26E70 26A33 PDFBibTeX XMLCite \textit{T.-T. Song} et al., Fractals 30, No. 7, Article ID 2250145, 14 p. (2022; Zbl 1515.26032) Full Text: DOI
Wu, Guo-Cheng (ed.); Abdeljawad, Thabet (ed.); Atici, Ferhan (ed.); Lizama, Carlos (ed.) Editorial. Special issue on discrete fractional calculus with applications: overview and some new directions. (English) Zbl 1489.00034 Fractals 29, No. 8, Article ID 2102003, 6 p. (2021). MSC: 00B15 26-06 28-06 34-06 PDFBibTeX XMLCite \textit{G.-C. Wu} (ed.) et al., Fractals 29, No. 8, Article ID 2102003, 6 p. (2021; Zbl 1489.00034) Full Text: DOI
Gu, Chuan-Yun; Wu, Guo-Cheng; Shiri, Babak An inverse problem approach to determine possible memory length of fractional differential equations. (English) Zbl 1498.34028 Fract. Calc. Appl. Anal. 24, No. 6, 1919-1936 (2021). MSC: 34A08 47N20 26A33 PDFBibTeX XMLCite \textit{C.-Y. Gu} et al., Fract. Calc. Appl. Anal. 24, No. 6, 1919--1936 (2021; Zbl 1498.34028) Full Text: DOI
Yang, Guang; Shiri, Babak; Kong, Hua; Wu, Guo-Cheng Intermediate value problems for fractional differential equations. (English) Zbl 1476.34040 Comput. Appl. Math. 40, No. 6, Paper No. 195, 20 p. (2021). MSC: 34A08 45G05 PDFBibTeX XMLCite \textit{G. Yang} et al., Comput. Appl. Math. 40, No. 6, Paper No. 195, 20 p. (2021; Zbl 1476.34040) Full Text: DOI
Shiri, Babak; Wu, Guo-Cheng; Baleanu, Dumitru Terminal value problems for the nonlinear systems of fractional differential equations. (English) Zbl 1482.65109 Appl. Numer. Math. 170, 162-178 (2021). MSC: 65L05 34A08 65L60 65R20 45D05 PDFBibTeX XMLCite \textit{B. Shiri} et al., Appl. Numer. Math. 170, 162--178 (2021; Zbl 1482.65109) Full Text: DOI
Huang, Lan-Lan; Wu, Guo-Cheng; Baleanu, Dumitru; Wang, Hong-Yong Discrete fractional calculus for interval-valued systems. (English) Zbl 1464.39007 Fuzzy Sets Syst. 404, 141-158 (2021). MSC: 39A13 26A33 26E50 PDFBibTeX XMLCite \textit{L.-L. Huang} et al., Fuzzy Sets Syst. 404, 141--158 (2021; Zbl 1464.39007) Full Text: DOI
Wu, Guo-Cheng; Luo, Maokang; Huang, Lan-Lan; Banerjee, Santo Short memory fractional differential equations for new memristor and neural network design. (English) Zbl 1516.34022 Nonlinear Dyn. 100, No. 4, 3611-3623 (2020). MSC: 34A08 68T07 PDFBibTeX XMLCite \textit{G.-C. Wu} et al., Nonlinear Dyn. 100, No. 4, 3611--3623 (2020; Zbl 1516.34022) Full Text: DOI
Shiri, Babak; Wu, Guo-Cheng; Baleanu, Dumitru Collocation methods for terminal value problems of tempered fractional differential equations. (English) Zbl 1455.65238 Appl. Numer. Math. 156, 385-395 (2020). MSC: 65R20 45D05 34A08 65L60 PDFBibTeX XMLCite \textit{B. Shiri} et al., Appl. Numer. Math. 156, 385--395 (2020; Zbl 1455.65238) Full Text: DOI
Huang, Lan-Lan; Park, Ju H.; Wu, Guo-Cheng; Mo, Zhi-Wen Variable-order fractional discrete-time recurrent neural networks. (English) Zbl 1432.39012 J. Comput. Appl. Math. 370, Article ID 112633, 11 p. (2020). MSC: 39A60 39A12 26A33 92B20 PDFBibTeX XMLCite \textit{L.-L. Huang} et al., J. Comput. Appl. Math. 370, Article ID 112633, 11 p. (2020; Zbl 1432.39012) Full Text: DOI
Baleanu, Dumitru; Wu, Guo-Cheng Some further results of the Laplace transform for variable-order fractional difference equations. (English) Zbl 1439.65223 Fract. Calc. Appl. Anal. 22, No. 6, 1641-1654 (2019). MSC: 65Q10 26A33 44A10 PDFBibTeX XMLCite \textit{D. Baleanu} and \textit{G.-C. Wu}, Fract. Calc. Appl. Anal. 22, No. 6, 1641--1654 (2019; Zbl 1439.65223) Full Text: DOI
Wu, Guo-Cheng; Abdeljawad, Thabet; Liu, Jinliang; Baleanu, Dumitru; Wu, Kai-Teng Mittag-Leffler stability analysis of fractional discrete-time neural networks via fixed point technique. (English) Zbl 1434.39006 Nonlinear Anal., Model. Control 24, No. 6, 919-936 (2019). MSC: 39A13 33E12 26A33 PDFBibTeX XMLCite \textit{G.-C. Wu} et al., Nonlinear Anal., Model. Control 24, No. 6, 919--936 (2019; Zbl 1434.39006) Full Text: DOI
Wu, Guo-Cheng; Zeng, De-Qiang; Baleanu, Dumitru Fractional impulsive differential equations: exact solutions, integral equations and short memory case. (English) Zbl 1428.34025 Fract. Calc. Appl. Anal. 22, No. 1, 180-192 (2019). MSC: 34A08 34A37 34A05 34A30 PDFBibTeX XMLCite \textit{G.-C. Wu} et al., Fract. Calc. Appl. Anal. 22, No. 1, 180--192 (2019; Zbl 1428.34025) Full Text: DOI
Gu, Chuan-Yun; Zhang, Jun; Wu, Guo-Cheng Positive solutions of fractional differential equations with the Riesz space derivative. (English) Zbl 1425.34013 Appl. Math. Lett. 95, 59-64 (2019). MSC: 34A08 34B18 47N20 PDFBibTeX XMLCite \textit{C.-Y. Gu} et al., Appl. Math. Lett. 95, 59--64 (2019; Zbl 1425.34013) Full Text: DOI
Wu, Guo-Cheng; Deng, Zhen-Guo; Baleanu, Dumitru; Zeng, De-Qiang New variable-order fractional chaotic systems for fast image encryption. (English) Zbl 1420.34028 Chaos 29, No. 8, 083103, 11 p. (2019). MSC: 34A08 34C28 94A60 PDFBibTeX XMLCite \textit{G.-C. Wu} et al., Chaos 29, No. 8, 083103, 11 p. (2019; Zbl 1420.34028) Full Text: DOI
Bai, Yunru; Baleanu, Dumitru; Wu, Guo-Cheng Existence and discrete approximation for optimization problems governed by fractional differential equations. (English) Zbl 1510.49001 Commun. Nonlinear Sci. Numer. Simul. 59, 338-348 (2018). MSC: 49J21 26A33 49M25 PDFBibTeX XMLCite \textit{Y. Bai} et al., Commun. Nonlinear Sci. Numer. Simul. 59, 338--348 (2018; Zbl 1510.49001) 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
Wu, Guo-Cheng; Baleanu, Dumitru Stability analysis of impulsive fractional difference equations. (English) Zbl 1398.39009 Fract. Calc. Appl. Anal. 21, No. 2, 354-375 (2018). MSC: 39A30 26A33 PDFBibTeX XMLCite \textit{G.-C. Wu} and \textit{D. Baleanu}, Fract. Calc. Appl. Anal. 21, No. 2, 354--375 (2018; Zbl 1398.39009) Full Text: DOI
Wu, Guo-Cheng; Baleanu, Dumitru; Huang, Lan-Lan Novel Mittag-Leffler stability of linear fractional delay difference equations with impulse. (English) Zbl 1391.39025 Appl. Math. Lett. 82, 71-78 (2018). MSC: 39A30 39A60 39A06 34K37 PDFBibTeX XMLCite \textit{G.-C. Wu} et al., Appl. Math. Lett. 82, 71--78 (2018; Zbl 1391.39025) 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
Zeng, Shengda; Baleanu, Dumitru; Bai, Yunru; Wu, Guocheng Fractional differential equations of Caputo-Katugampola type and numerical solutions. (English) Zbl 1426.65097 Appl. Math. Comput. 315, 549-554 (2017). MSC: 65L05 34A08 PDFBibTeX XMLCite \textit{S. Zeng} et al., Appl. Math. Comput. 315, 549--554 (2017; Zbl 1426.65097) Full Text: DOI
Wu, Guo-Cheng; Baleanu, Dumitru; Luo, Wei-Hua Lyapunov functions for Riemann-Liouville-like fractional difference equations. (English) Zbl 1426.39010 Appl. Math. Comput. 314, 228-236 (2017). MSC: 39A13 34A08 PDFBibTeX XMLCite \textit{G.-C. Wu} et al., Appl. Math. Comput. 314, 228--236 (2017; Zbl 1426.39010) Full Text: DOI
Baleanu, Dumitru; Wu, Guo-Cheng; Zeng, Sheng-Da Chaos analysis and asymptotic stability of generalized Caputo fractional differential equations. (English) Zbl 1374.34306 Chaos Solitons Fractals 102, 99-105 (2017). MSC: 34K37 34K23 34D05 34K60 37M05 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Chaos Solitons Fractals 102, 99--105 (2017; Zbl 1374.34306) Full Text: DOI
Wu, Guo-Cheng; Baleanu, Dumitru; Xie, He-Ping; Chen, Fu-Lai Chaos synchronization of fractional chaotic maps based on the stability condition. (English) Zbl 1400.34107 Physica A 460, 374-383 (2016). MSC: 34H10 34A08 34D06 PDFBibTeX XMLCite \textit{G.-C. Wu} et al., Physica A 460, 374--383 (2016; Zbl 1400.34107) Full Text: DOI
Wu, Guo-Cheng; Baleanu, Dumitru Jacobian matrix algorithm for Lyapunov exponents of the discrete fractional maps. (English) Zbl 1329.65309 Commun. Nonlinear Sci. Numer. Simul. 22, No. 1-3, 95-100 (2015). MSC: 65P40 37M25 PDFBibTeX XMLCite \textit{G.-C. Wu} and \textit{D. Baleanu}, Commun. Nonlinear Sci. Numer. Simul. 22, No. 1--3, 95--100 (2015; Zbl 1329.65309) Full Text: DOI
Wu, Guo-Cheng; Baleanu, Dumitru; Zeng, Sheng-Da; Deng, Zhen-Guo Discrete fractional diffusion equation. (English) Zbl 1345.65067 Nonlinear Dyn. 80, No. 1-2, 281-286 (2015). MSC: 65Q10 76R50 35R11 39A14 26A33 37M05 PDFBibTeX XMLCite \textit{G.-C. Wu} et al., Nonlinear Dyn. 80, No. 1--2, 281--286 (2015; Zbl 1345.65067) Full Text: DOI
Wu, Guo-Cheng; Baleanu, Dumitru; Zeng, Sheng-Da Discrete chaos in fractional sine and standard maps. (English) Zbl 1331.37048 Phys. Lett., A 378, No. 5-6, 484-487 (2014). MSC: 37D45 37M05 34A08 PDFBibTeX XMLCite \textit{G.-C. Wu} et al., Phys. Lett., A 378, No. 5--6, 484--487 (2014; Zbl 1331.37048) Full Text: DOI
Wu, Guo-Cheng; Baleanu, Dumitru New applications of the variational iteration method – from differential equations to \(q\)-fractional difference equations. (English) Zbl 1365.39006 Adv. Difference Equ. 2013, Paper No. 21, 16 p. (2013). MSC: 39A13 26A33 PDFBibTeX XMLCite \textit{G.-C. Wu} and \textit{D. Baleanu}, Adv. Difference Equ. 2013, Paper No. 21, 16 p. (2013; Zbl 1365.39006) Full Text: DOI
Wu, Guo-Cheng Variational iteration method for \(q\)-difference equations of second order. (English) Zbl 1251.65170 J. Appl. Math. 2012, Article ID 102850, 5 p. (2012). MSC: 65Q10 PDFBibTeX XMLCite \textit{G.-C. Wu}, J. Appl. Math. 2012, Article ID 102850, 5 p. (2012; Zbl 1251.65170) Full Text: DOI
Wu, Guo-Cheng; Lee, E. W. M. Fractional variational iteration method and its application. (English) Zbl 1237.34007 Phys. Lett., A 374, No. 25, 2506-2509 (2010). MSC: 34A08 35R11 26A33 39B12 PDFBibTeX XMLCite \textit{G.-C. Wu} and \textit{E. W. M. Lee}, Phys. Lett., A 374, No. 25, 2506--2509 (2010; Zbl 1237.34007) Full Text: DOI