Babaei, Afshin; Banihashemi, Seddigheh; Cattani, Carlo An efficient numerical approach to solve a class of variable-order fractional integro-partial differential equations. (English) Zbl 07777716 Numer. Methods Partial Differ. Equations 37, No. 1, 674-689 (2021). MSC: 65M06 65M70 65N35 35R09 45D05 26A33 35R11 PDFBibTeX XMLCite \textit{A. Babaei} et al., Numer. Methods Partial Differ. Equations 37, No. 1, 674--689 (2021; Zbl 07777716) Full Text: DOI
Hosseininia, Masoumeh; Heydari, Mohammad Hossein; Cattani, Carlo A wavelet method for nonlinear variable-order time fractional 2D Schrödinger equation. (English) Zbl 1484.42032 Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2273-2295 (2021). MSC: 42C40 26A33 35J10 65T60 PDFBibTeX XMLCite \textit{M. Hosseininia} et al., Discrete Contin. Dyn. Syst., Ser. S 14, No. 7, 2273--2295 (2021; Zbl 1484.42032) Full Text: DOI
Cattani, Carlo Fractal similarities between the distribution of primes and nucleotides in DNA. (English) Zbl 07353726 Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 46, No. 2, 360-393 (2020). MSC: 65T60 28A80 11N05 42C40 PDFBibTeX XMLCite \textit{C. Cattani}, Proc. Inst. Math. Mech., Natl. Acad. Sci. Azerb. 46, No. 2, 360--393 (2020; Zbl 07353726) Full Text: DOI
Song, Wanqing; Li, Ming; Li, Yuanyuan; Cattani, Carlo; Chi, Chi-Hung Fractional Brownian motion: difference iterative forecasting models. (English) Zbl 1448.62136 Chaos Solitons Fractals 123, 347-355 (2019). MSC: 62M20 60G22 PDFBibTeX XMLCite \textit{W. Song} et al., Chaos Solitons Fractals 123, 347--355 (2019; Zbl 1448.62136) Full Text: DOI
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.; Cattani, C. Wavelets method for solving fractional optimal control problems. (English) Zbl 1410.49032 Appl. Math. Comput. 286, 139-154 (2016). MSC: 49M25 49K30 PDFBibTeX XMLCite \textit{M. H. Heydari} et al., Appl. Math. Comput. 286, 139--154 (2016; Zbl 1410.49032) Full Text: DOI
Liu, Kai; Hu, Ren-Jie; Cattani, Carlo; Xie, Gong-Nan; Yang, Xiao-Jun; Zhao, Yang Local fractional \(Z\)-transforms with applications to signals on Cantor sets. (English) Zbl 1468.94171 Abstr. Appl. Anal. 2014, Article ID 638648, 6 p. (2014). MSC: 94A12 28A80 PDFBibTeX XMLCite \textit{K. Liu} et al., Abstr. Appl. Anal. 2014, Article ID 638648, 6 p. (2014; Zbl 1468.94171) Full Text: DOI
Baleanu, Dumitru; Tenreiro Machado, J. A.; Cattani, Carlo; Baleanu, Mihaela Cristina; Yang, Xiao-Jun Local fractional variational iteration and decomposition methods for wave equation on Cantor sets within local fractional operators. (English) Zbl 1468.35226 Abstr. Appl. Anal. 2014, Article ID 535048, 6 p. (2014). MSC: 35R11 35R02 28A80 PDFBibTeX XMLCite \textit{D. Baleanu} et al., Abstr. Appl. Anal. 2014, Article ID 535048, 6 p. (2014; Zbl 1468.35226) Full Text: DOI
Yang, Ai-Min; Zhang, Yu-Zhu; Cattani, Carlo; Xie, Gong-Nan; Rashidi, Mohammad Mehdi; Zhou, Yi-Jun; Yang, Xiao-Jun Application of local fractional series expansion method to solve Klein-Gordon equations on Cantor sets. (English) Zbl 1472.35342 Abstr. Appl. Anal. 2014, Article ID 372741, 6 p. (2014). MSC: 35Q53 28A80 35R02 35R11 PDFBibTeX XMLCite \textit{A.-M. Yang} et al., Abstr. Appl. Anal. 2014, Article ID 372741, 6 p. (2014; Zbl 1472.35342) Full Text: DOI
Chen, Zhi-Yong; Cattani, Carlo; Zhong, Wei-Ping Signal processing for nondifferentiable data defined on Cantor sets: a local fractional Fourier series approach. (English) Zbl 1291.94021 Adv. Math. Phys. 2014, Article ID 561434, 7 p. (2014). MSC: 94A12 94A11 26A33 PDFBibTeX XMLCite \textit{Z.-Y. Chen} et al., Adv. Math. Phys. 2014, Article ID 561434, 7 p. (2014; Zbl 1291.94021) Full Text: DOI
Zhao, Yang; Baleanu, Dumitru; Cattani, Carlo; Cheng, De-Fu; Yang, Xiao-Jun Maxwell’s equations on Cantor sets: a local fractional approach. (English) Zbl 1328.82035 Adv. High Energy Phys. 2013, Article ID 686371, 6 p. (2013). MSC: 82C22 35R11 PDFBibTeX XMLCite \textit{Y. Zhao} et al., Adv. High Energy Phys. 2013, Article ID 686371, 6 p. (2013; Zbl 1328.82035) Full Text: DOI
Leng, Jinsong; Huang, Tingzhu; Cattani, Carlo Construction of bivariate nonseparable compactly supported orthogonal wavelets. (English) Zbl 1299.94038 Math. Probl. Eng. 2013, Article ID 624957, 11 p. (2013). MSC: 94A11 PDFBibTeX XMLCite \textit{J. Leng} et al., Math. Probl. Eng. 2013, Article ID 624957, 11 p. (2013; Zbl 1299.94038) Full Text: DOI
Yang, Ai-Ming; Cattani, Carlo; Jafari, Hossein; Yang, Xiao-Jun Analytical solutions of the one-dimensional heat equations arising in fractal transient conduction with local fractional derivative. (English) Zbl 1291.35016 Abstr. Appl. Anal. 2013, Article ID 462535, 5 p. (2013). MSC: 35C05 35R11 PDFBibTeX XMLCite \textit{A.-M. Yang} et al., Abstr. Appl. Anal. 2013, Article ID 462535, 5 p. (2013; Zbl 1291.35016) Full Text: DOI
Cattani, Carlo; Pierro, Gaetano; Altieri, Giuseppe Entropy and multifractality for the myeloma multiple TET 2 gene. (English) Zbl 1264.92017 Math. Probl. Eng. 2012, Article ID 193761, 14 p. (2012). MSC: 92C40 62P10 PDFBibTeX XMLCite \textit{C. Cattani} et al., Math. Probl. Eng. 2012, Article ID 193761, 14 p. (2012; Zbl 1264.92017) Full Text: DOI
Cattani, Carlo; Pierro, Gaetano Complexity on acute myeloid leukemia mRNA transcript variant. (English) Zbl 1235.92025 Math. Probl. Eng. 2011, Article ID 379873, 16 p. (2011). MSC: 92C50 92C40 PDFBibTeX XMLCite \textit{C. Cattani} and \textit{G. Pierro}, Math. Probl. Eng. 2011, Article ID 379873, 16 p. (2011; Zbl 1235.92025) Full Text: DOI
Cattani, Carlo Fractals and hidden symmetries in DNA. (English) Zbl 1189.92015 Math. Probl. Eng. 2010, Article ID 507056, 31 p. (2010). MSC: 92C40 28A80 42C40 PDFBibTeX XMLCite \textit{C. Cattani}, Math. Probl. Eng. 2010, Article ID 507056, 31 p. (2010; Zbl 1189.92015) Full Text: DOI EuDML
Cattani, Carlo; D’Auria, Rita Correlations in DNA sequences. (English) Zbl 1111.92018 J. Inf. Optim. Sci. 28, No. 1, 51-65 (2007). MSC: 92C40 65T60 92D20 PDFBibTeX XMLCite \textit{C. Cattani} and \textit{R. D'Auria}, J. Inf. Optim. Sci. 28, No. 1, 51--65 (2007; Zbl 1111.92018) Full Text: DOI