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## Cattani, Carlo

Compute Distance To:
 Author ID: cattani.carlo Published as: Cattani, Carlo; Cattani, C. External Links: ORCID · Wikidata · Google Scholar · ResearchGate · dblp
 Documents Indexed: 190 Publications since 1980, including 6 Books Reviewing Activity: 6 Reviews
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#### Serials

 30 Mathematical Problems in Engineering 19 Prikladnaya Mekhanika 8 Abstract and Applied Analysis 7 Journal of Interdisciplinary Mathematics 6 Mathematical Methods in the Applied Sciences 6 Computational & Mathematical Methods in Medicine 5 Zbirnyk Prats’ Instytutu Matematyky NAN Ukraïny 4 Advances in Mathematical Physics 3 Applied Mathematics and Computation 3 Journal of Information & Optimization Sciences 3 Mathematical and Computer Modelling 3 Scientific Bulletin. Series A. Applied Mathematics and Physics. Politehnica University of Bucharest 3 Fundamenta Informaticae 3 Advances in High Energy Physics 2 Computers & Mathematics with Applications 2 Journal of Computational Physics 2 Balkan Journal of Geometry and its Applications (BJGA) 2 Communications in Nonlinear Science and Numerical Simulation 2 Applied Sciences 2 Mathematical Modelling and Analysis 2 Symmetry 1 Journal of the Franklin Institute 1 Journal of Mathematical Analysis and Applications 1 Physica A 1 Physics Letters. A 1 Ukraïns’kyĭ Matematychnyĭ Zhurnal 1 Bulletin of Mathematical Biology 1 Chaos, Solitons and Fractals 1 Prikladnaya Matematika i Mekhanika 1 Atti della Accademia Peloritana dei Pericolanti. Classe di Scienze Fisiche, Matemàtiche e Naturali 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Computational and Applied Mathematics 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Rendiconti. Scienze Matemàtiche e Applicazioni. A 1 Acta Applicandae Mathematicae 1 Applied Numerical Mathematics 1 ACM Transactions on Graphics 1 Applied Mathematics Letters 1 CAD. Computer-Aided Design 1 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 1 International Journal of Computer Mathematics 1 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 1 Journal of Mathematical Imaging and Vision 1 Rivista di Matematica della Università di Parma. Serie V 1 Computational and Applied Mathematics 1 Georgian Mathematical Journal 1 Rendiconti del Seminario Matematico di Messina. Serie II 1 Analele Universităţii din Craiova. Seria Matematică Informatică 1 Buletinul Academiei de Științe a Republicii Moldova. Matematica 1 Proceedings of the Estonian Academy of Sciences. Physics, Mathematics 1 Nonlinear Dynamics 1 Chaos 1 Mathematical and Computer Modelling of Dynamical Systems 1 Neliniĭni Kolyvannya 1 Dopovidi Natsional’noï Akademiï Nauk Ukraïny. Matematyka, Pryrodoznavstvo, Tekhnichni Nauky 1 DGDS. Differential Geometry – Dynamical Systems 1 Prykladna Gidromekhanika 1 Proceedings of Institute of Mathematics and Mechanics. National Academy of Sciences of Azerbaijan 1 Journal of Dynamical Systems and Geometric Theories 1 International Journal of Wavelets, Multiresolution and Information Processing 1 Advances in Difference Equations 1 Rendiconti di Matematica, VI. Serie 1 Series on Advances in Mathematics for Applied Sciences 1 Tbilisi Mathematical Journal 1 Advances in Numerical Analysis 1 De Gruyter STEM
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#### Fields

 62 Numerical analysis (65-XX) 45 Partial differential equations (35-XX) 27 Mechanics of deformable solids (74-XX) 27 Biology and other natural sciences (92-XX) 25 Harmonic analysis on Euclidean spaces (42-XX) 22 Information and communication theory, circuits (94-XX) 21 Ordinary differential equations (34-XX) 14 Dynamical systems and ergodic theory (37-XX) 11 Real functions (26-XX) 11 Measure and integration (28-XX) 11 Computer science (68-XX) 9 Integral equations (45-XX) 9 Fluid mechanics (76-XX) 7 Statistics (62-XX) 6 Mechanics of particles and systems (70-XX) 6 Relativity and gravitational theory (83-XX) 6 Operations research, mathematical programming (90-XX) 5 General and overarching topics; collections (00-XX) 5 Differential geometry (53-XX) 5 Probability theory and stochastic processes (60-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 4 Statistical mechanics, structure of matter (82-XX) 3 Number theory (11-XX) 3 Approximations and expansions (41-XX) 3 Operator theory (47-XX) 3 Classical thermodynamics, heat transfer (80-XX) 2 Integral transforms, operational calculus (44-XX) 2 Optics, electromagnetic theory (78-XX) 2 Quantum theory (81-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 History and biography (01-XX) 1 Functions of a complex variable (30-XX) 1 Special functions (33-XX) 1 Difference and functional equations (39-XX) 1 Geometry (51-XX) 1 Manifolds and cell complexes (57-XX)

#### Citations contained in zbMATH Open

118 Publications have been cited 1,063 times in 666 Documents Cited by Year
On exact traveling-wave solutions for local fractional Korteweg-de Vries equation. Zbl 1378.35329
Yang, Xiao-Jun; Tenreiro Machado, J. A.; Baleanu, Dumitru; Cattani, Carlo
2016
Wavelets method for solving systems of nonlinear singular fractional Volterra integro-differential equations. Zbl 1344.65126
Heydari, M. H.; Hooshmandasl, M. R.; Mohammadi, F.; Cattani, C.
2014
Wavelet and wave analysis as applied to materials with micro or nanostructure. Zbl 1152.74001
Cattani, Carlo; Rushchitsky, Jeremiah
2007
Wavelets method for the time fractional diffusion-wave equation. Zbl 1304.35748
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.; Cattani, C.
2015
Shannon wavelets theory. Zbl 1162.42314
Cattani, Carlo
2008
Fractals and hidden symmetries in DNA. Zbl 1189.92015
Cattani, Carlo
2010
A computational method for solving stochastic Itô-Volterra integral equations based on stochastic operational matrix for generalized hat basis functions. Zbl 1349.65711
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.; Cattani, C.
2014
Harmonic wavelet method towards solution of the Fredholm type integral equations of the second kind. Zbl 1186.65160
Cattani, C.; Kudreyko, A.
2010
Shannon wavelets for the solution of integrodifferential equations. Zbl 1191.65174
Cattani, Carlo
2010
Harmonic wavelets towards the solution of nonlinear PDE. Zbl 1118.65133
Cattani, C.
2005
Markov models for image labeling. Zbl 1264.68189
Chen, S. Y.; Tong, Hanyang; Cattani, Carlo
2012
Haar wavelet splines. Zbl 1019.65107
Cattani, Carlo
2001
Fractional calculus and Shannon wavelet. Zbl 1264.42016
Cattani, Carlo
2012
Hybrid two scales mathematical tools for active particles modelling complex systems with learning hiding dynamics. Zbl 1142.82019
Cattani, C.; Ciancio, A.
2007
An efficient computational method for solving nonlinear stochastic Itô integral equations: application for stochastic problems in physics. Zbl 1351.60088
Heydari, M. H.; Hooshmandasl, M. R.; Cattani, C.; Maalek Ghaini, F. M.
2015
An optimization wavelet method for multi variable-order fractional differential equations. Zbl 1379.65046
Heydari, M. H.; Hooshmandasl, M. R.; Cattani, C.; Hariharan, G.
2017
Local fractional variational iteration and decomposition methods for wave equation on Cantor sets within local fractional operators. Zbl 1468.35226
Baleanu, Dumitru; Tenreiro Machado, J. A.; Cattani, Carlo; Baleanu, Mihaela Cristina; Yang, Xiao-Jun
2014
Wavelets method for solving fractional optimal control problems. Zbl 1410.49032
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.; Cattani, C.
2016
Boundary integration over linear polyhedra. Zbl 0697.65004
Cattani, C.; Paoluzzi, A.
1990
Connection coefficients of Shannon wavelets. Zbl 1117.65179
Cattani, C.
2006
Modeling of biological intelligence for SCM system optimization. Zbl 1235.90022
Chen, Shengyong; Zheng, Yujun; Cattani, Carlo; Wang, Wanliang
2012
Analysis of large-amplitude pulses in short time intervals: application to neuron interactions. Zbl 1189.37099
Mattioli, Gianni; Scalia, Massimo; Cattani, Carlo
2010
Traffic dynamics on complex networks: a survey. Zbl 1264.90031
Chen, Shengyong; Huang, Wei; Cattani, Carlo; Altieri, Giuseppe
2012
Legendre wavelets Galerkin method for solving nonlinear stochastic integral equations. Zbl 1355.65011
Heydari, M. H.; Hooshmandasl, M. R.; Shakiba, A.; Cattani, C.
2016
Haar wavelets based technique in evolution problems. Zbl 1049.65103
Cattani, Carlo
2004
Legendre wavelets method for solving fractional population growth model in a closed system. Zbl 1296.65108
Heydari, M. H.; Hooshmandasl, M. R.; Cattani, C.; Li, Ming
2013
Information and modeling in complexity 2013. Zbl 1299.00007
Cattani, Carlo (ed.); Chen, Shengyong (ed.); Aldashev, Gani (ed.)
2013
On the existence of wavelet symmetries in archaea DNA. Zbl 1234.92014
Cattani, Carlo
2012
A meshless method for solving the time fractional advection-diffusion equation with variable coefficients. Zbl 1418.65144
Mardani, A.; Hooshmandasl, M. R.; Heydari, M. H.; Cattani, C.
2018
A generalized fractional-order Legendre wavelet Tau method for solving fractional differential equations. Zbl 1464.65079
2018
Characteristic roots of a class of fractional oscillators. Zbl 1328.34007
Li, Ming; Lim, S. C.; Cattani, Carlo; Scalia, Massimo
2013
Application of local fractional series expansion method to solve Klein-Gordon equations on Cantor sets. Zbl 07022248
Yang, Ai-Min; Zhang, Yu-Zhu; Cattani, Carlo; Xie, Gong-Nan; Rashidi, Mohammad Mehdi; Zhou, Yi-Jun; Yang, Xiao-Jun
2014
Application of periodized harmonic wavelets towards solution of eigenvalue problems for integral equations. Zbl 1191.65175
Cattani, Carlo; Kudreyko, Aleksey
2010
Haar wavelet-based technique for sharp jumps classification. Zbl 1046.94504
Cattani, C.
2004
Maxwell’s equations on Cantor sets: a local fractional approach. Zbl 1328.82035
Zhao, Yang; Baleanu, Dumitru; Cattani, Carlo; Cheng, De-Fu; Yang, Xiao-Jun
2013
Wavelets Galerkin method for solving stochastic heat equation. Zbl 1356.65018
Heydari, M. H.; Hooshmandasl, M. R.; Loghmani, Gh. Barid; Cattani, C.
2016
Separable transition density in the hybrid model for tumor-immune system competition. Zbl 1234.92026
Cattani, Carlo; Ciancio, Armando
2012
Fundamental solutions of anomalous diffusion equations with the decay exponential kernel. Zbl 1425.35228
Yang, Xiao-Jun; Feng, Yi-Ying; Cattani, Carlo; Inc, Mustafa
2019
On the fractal geometry of DNA by the binary image analysis. Zbl 1272.92013
Cattani, Carlo; Pierro, Gaetano
2013
On a mathematical model of immune competition. Zbl 1278.92017
Cattani, C.; Ciancio, A.; Lods, B.
2006
Delay bound: fractal traffic passes through network servers. Zbl 1296.90023
Li, Ming; Zhao, Wei; Cattani, Carlo
2013
Entropy and multifractality for the myeloma multiple TET 2 gene. Zbl 1264.92017
Cattani, Carlo; Pierro, Gaetano; Altieri, Giuseppe
2012
A new Rabotnov fractional-exponential function-based fractional derivative for diffusion equation under external force. Zbl 1447.35359
Kumar, Sunil; Nisar, Kottakkaran Sooppy; Kumar, Ranbir; Cattani, Carlo; Samet, Bessem
2020
Complexity on acute myeloid leukemia mRNA transcript variant. Zbl 1235.92025
Cattani, Carlo; Pierro, Gaetano
2011
Differential models. Stability, inequalities and estimates. Edited and with a preface by Samojlenko. Zbl 1051.34001
Samoilenko, A.; Borysenko, S.; Cattani, C.; Matarazzo, G.; Yasinsky, V.
2001
On the fractal distribution of primes and prime-indexed primes by the binary image analysis. Zbl 1400.11012
Cattani, Carlo; Ciancio, Armando
2016
Analysis of a solitary wave evolution in a composite material with application of the wavelet theory. Zbl 1075.74048
Ruschitsky, Ya. Ya.; Cattani, C.; Terletsky, E. V.
2004
Qualitative analysis of second-order models of tumor-immune system competition. Zbl 1145.34303
Cattani, C.; Ciancio, A.
2008
Simplicial approach to fractal structures. Zbl 1264.28005
Cattani, Carlo; Laserra, Ettore; Bochicchio, Ivana
2012
Fractional dynamics. Zbl 1333.00024
Cattani, Carlo (ed.); Srivastava, Hari M. (ed.); Yang, Xiao-Jun (ed.)
2015
On the critical strip of the Riemann zeta fractional derivative. Zbl 1376.26007
Cattani, C.; Guariglia, E.; Wang, S.
2017
Dimension-independent modeling with simplicial complexes. Zbl 0770.68114
Paoluzzi, A.; Bernardini, F.; Cattani, C.; Ferrucci, V.
1993
Metamodeling the learning-hiding competition between tumours and the immune system: A kinematic approach. Zbl 1201.34071
Cattani, Carlo; Ciancio, Armando; D’Onofrio, Alberto
2010
Harmonic wavelet solution of Poisson’s problem. Zbl 1172.35309
Cattani, Carlo
2008
Mutiscale analysis of the Fisher equation. Zbl 1297.65209
Cattani, Carlo; Kudreyko, Aleksey
2008
Physical constants of a certain type of nonlinear elastic fibrous micro- and nanocomposites in the presence of rigid or soft nonlinearity. Zbl 1129.74013
Cattani, C.; Ruschitsky, Ya. Ya.; Sinchylo, S. V.
2005
Invariance and existence analysis for semilinear hyperbolic equations with damping and conical singularity. Zbl 1382.35163
Alimohammady, Mohsen; Cattani, Carlo; Kalleji, Morteza Koozehgar
2017
A cardinal method to solve coupled nonlinear variable-order time fractional sine-Gordon equations. Zbl 1449.35437
2020
Differential models. Construction, representations & applications. Edited and with a preface by Samoilenko. Zbl 1051.34039
Samoilenko, A.; Borysenko, S.; Cattani, C.; Yasinsky, V.
2001
Multiscale analysis of wave propagation in composite materials. Zbl 1109.74332
Cattani, C.
2003
Discrete differential operators in multidimensional Haar wavelet spaces. Zbl 1075.39008
Cattani, Carlo; Sánchez Ruiz, Luis M.
2004
On the discrete harmonic wavelet transform. Zbl 1166.65404
Cattani, Carlo; Kudreyko, Aleksey
2008
Signorini cylindrical waves and Shannon wavelets. Zbl 1329.74105
Cattani, Carlo
2012
Evaluation of mixed Crank-Nicolson scheme and tau method for the solution of Klein-Gordon equation. Zbl 1427.65217
2018
An efficient computational method based on the hat functions for solving fractional optimal control problems. Zbl 1341.49038
Heydari, M. H.; Hooshmandasl, M. R.; Shakiba, A.; Cattani, C.
2016
A new operational matrix of fractional order integration for the Chebyshev wavelets and its application for nonlinear fractional van der Pol oscillator equation. Zbl 06877178
Heydari, M. H.; Hooshmandasl, M. R.; Cattani, C.
2018
Signal processing for nondifferentiable data defined on Cantor sets: a local fractional Fourier series approach. Zbl 1291.94021
Chen, Zhi-Yong; Cattani, Carlo; Zhong, Wei-Ping
2014
Similarities and differencies in the description of evolution of quadratically nonlinear hyperelastic plane waves. Zbl 1126.74418
Ruschitskiy, Ya. Ya.; Cattani, C.
2006
Wavelet based approach to fractals and fractal signal denoising. Zbl 1273.94134
Cattani, Carlo
2009
Local fractional discrete wavelet transform for solving signals on Cantor sets. Zbl 1299.94040
Zhao, Yang; Baleanu, Dumitru; Cattani, Carlo; Cheng, De-Fu; Yang, Xiao-Jun
2013
Picard successive approximation method for solving differential equations arising in fractal heat transfer with local fractional derivative. Zbl 07022305
Yang, Ai-Min; Zhang, Cheng; Jafari, Hossein; Cattani, Carlo; Jiao, Ying
2014
Transport theory of homogeneous reacting solutes. Zbl 1005.76091
Cattani, C.; Laserra, E.
2001
Analytical solutions of the one-dimensional heat equations arising in fractal transient conduction with local fractional derivative. Zbl 1291.35016
Yang, Ai-Ming; Cattani, Carlo; Jafari, Hossein; Yang, Xiao-Jun
2013
Cubically nonlinear elastic waves as compared with quadratic ones. Main wave effects. Zbl 1095.74017
Cattani, C.; Ruschitsky, Ya. Ya.
2003
Third-order model for tumor-immune system competition. Zbl 1132.34319
Cattani, C.; Ciancio, A.
2007
The wavelet-based technique in dispersive wave propagation. Zbl 1054.42022
Cattani, C.
2003
Short range phenomena: modeling, computational aspects and applications. Zbl 1162.94301
Cattani, Carlo; Li, Ming; Toma, Cristian
2008
A class of solutions for the hybrid kinetic model in the tumor-immune system competition. Zbl 1296.35198
Cattani, Carlo; Ciancio, Armando
2013
A Shannon-Runge-Kutta-Gill method for convection-diffusion equations. Zbl 1296.76082
Duan, Xiaoming; Leng, Jinsong; Cattani, Carlo; Li, Caiyun
2013
Construction of bivariate nonseparable compactly supported orthogonal wavelets. Zbl 1299.94038
Leng, Jinsong; Huang, Tingzhu; Cattani, Carlo
2013
Transversal waves in nonlinear Signorini model. Zbl 1297.74058
Cattani, Carlo; Nosova, Ekaterina
2008
Second order Shannon wavelet approximation of $$C^2$$-functions. Zbl 1249.42024
Cattani, Carlo
2011
Adaptive binary arithmetic coder-based image feature and segmentation in the compressed domain. Zbl 1264.94014
Hsin, Hsi-Chin; Sung, Tze-Yun; Shieh, Yaw-Shih; Cattani, Carlo
2012
Multiobjective quantum evolutionary algorithm for the vehicle routing problem with customer satisfaction. Zbl 1264.90025
Zhang, Jingling; Wang, Wanliang; Zhao, Yanwei; Cattani, Carlo
2012
On a numerical method based on wavelets for Fredholm-Hammerstein integral equations of the second kind. Zbl 1406.65138
Micula, Sanda; Cattani, Carlo
2018
Numerical inversion of Laplace transform based on Bernstein operational matrix. Zbl 1406.65135
Rani, Dimple; Mishra, Vinod; Cattani, Carlo
2018
Local fractional Laplace variational iteration method for nonhomogeneous heat equations arising in fractal heat flow. Zbl 1407.65321
Xu, Shu; Ling, Xiang; Cattani, Carlo; Xie, Gong-Nan; Yang, Xiao-Jun; Zhao, Yang
2014
Solving Fokker-Planck equations on Cantor sets using local fractional decomposition method. Zbl 1468.65173
Yan, Shao-Hong; Chen, Xiao-Hong; Xie, Gong-Nan; Cattani, Carlo; Yang, Xiao-Jun
2014
Local fractional $$Z$$-transforms with applications to signals on Cantor sets. Zbl 1468.94171
Liu, Kai; Hu, Ren-Jie; Cattani, Carlo; Xie, Gong-Nan; Yang, Xiao-Jun; Zhao, Yang
2014
Approximate solutions for local fractional linear transport equations arising in fractal porous media. Zbl 1291.82114
Li, Meng; Hui, Xiao-Feng; Cattani, Carlo; Yang, Xiao-Jun; Zhao, Yang
2014
Nonlinear acoustic waves in materials: retrospect and some new lines of development. Zbl 1097.76587
Rushchitsky, J. J.; Cattani, C.
2003
Wavelet solutions of nonlinear dynamical systems. Zbl 1097.65551
Cattani, Carlo
2002
Wavelet analysis of nonlinear dynamical systems. Zbl 1051.65124
Cattani, Carlo
2003
Discrete electromagnetic action on a gravitational simplicial net. Zbl 0976.83012
Cattani, Carlo; Laserra, Ettore
2000
Simplicial geometry of crystals. Zbl 0956.51013
Cattani, Carlo; Laserra, Ettore
1999
Spline-wavelets techniques for heat propagation. Zbl 1049.65104
Cattani, Carlo; Laserra, Ettore
2003
Evolution interaction equations for plane cubic nonlinear elastic waves. Zbl 1082.74026
Ruschitsky, Ya. Ya.; Cattani, C.
2004
Comparative analysis of profile evolution of an elastic harmonic wave caused by the second and third harmonic generation. Zbl 1083.74505
Cattani, C.; Ruschitsky, Ya. Ya.; Sinchilo, S. V.
2004
Cubically nonlinear elastic waves: wave equations and methods of analysis. Zbl 1130.74395
Cattani, C.; Ruschitsky, Ya. Ya.
2003
Comparative analysis of nonlinear hyperelastic waves with plane or cylindrical front in materials with internal structure. Zbl 1126.74419
Ruschitsky, Ya. Ya.; Cattani, C.
2006
A new Rabotnov fractional-exponential function-based fractional derivative for diffusion equation under external force. Zbl 1447.35359
Kumar, Sunil; Nisar, Kottakkaran Sooppy; Kumar, Ranbir; Cattani, Carlo; Samet, Bessem
2020
A cardinal method to solve coupled nonlinear variable-order time fractional sine-Gordon equations. Zbl 1449.35437
2020
Legendre spectral method for the fractional Bratu problem. Zbl 1451.65162
Singh, Harendra; Ghassabzadeh, Fahimeh Akhavan; Tohidi, Emran; Cattani, Carlo
2020
New type of Gegenbauer-Hermite monogenic polynomials and associated Clifford wavelets. Zbl 1455.94005
Arfaoui, Sabrine; Ben Mabrouk, Anouar; Cattani, Carlo
2020
Wavelets method for solving nonlinear stochastic Itô-Volterra integral equations. Zbl 1457.60104
2020
Fundamental solutions of anomalous diffusion equations with the decay exponential kernel. Zbl 1425.35228
Yang, Xiao-Jun; Feng, Yi-Ying; Cattani, Carlo; Inc, Mustafa
2019
Numerical inverse Laplace transform for solving a class of fractional differential equations. Zbl 1425.35222
Rani, Dimple; Mishra, Vinod; Cattani, Carlo
2019
On the minimal solution of bi-Laplacian equation. Zbl 1438.35018
2019
A meshless method for solving the time fractional advection-diffusion equation with variable coefficients. Zbl 1418.65144
Mardani, A.; Hooshmandasl, M. R.; Heydari, M. H.; Cattani, C.
2018
A generalized fractional-order Legendre wavelet Tau method for solving fractional differential equations. Zbl 1464.65079
2018
Evaluation of mixed Crank-Nicolson scheme and tau method for the solution of Klein-Gordon equation. Zbl 1427.65217
2018
A new operational matrix of fractional order integration for the Chebyshev wavelets and its application for nonlinear fractional van der Pol oscillator equation. Zbl 06877178
Heydari, M. H.; Hooshmandasl, M. R.; Cattani, C.
2018
On a numerical method based on wavelets for Fredholm-Hammerstein integral equations of the second kind. Zbl 1406.65138
Micula, Sanda; Cattani, Carlo
2018
Numerical inversion of Laplace transform based on Bernstein operational matrix. Zbl 1406.65135
Rani, Dimple; Mishra, Vinod; Cattani, Carlo
2018
An optimization wavelet method for multi variable-order fractional differential equations. Zbl 1379.65046
Heydari, M. H.; Hooshmandasl, M. R.; Cattani, C.; Hariharan, G.
2017
On the critical strip of the Riemann zeta fractional derivative. Zbl 1376.26007
Cattani, C.; Guariglia, E.; Wang, S.
2017
Invariance and existence analysis for semilinear hyperbolic equations with damping and conical singularity. Zbl 1382.35163
Alimohammady, Mohsen; Cattani, Carlo; Kalleji, Morteza Koozehgar
2017
On a fractal LC-electric circuit modeled by local fractional calculus. Zbl 07257489
Yang, Xiao-Jun; Tenreiro Machado, J. A.; Cattani, Carlo; Gao, Feng
2017
On exact traveling-wave solutions for local fractional Korteweg-de Vries equation. Zbl 1378.35329
Yang, Xiao-Jun; Tenreiro Machado, J. A.; Baleanu, Dumitru; Cattani, Carlo
2016
Wavelets method for solving fractional optimal control problems. Zbl 1410.49032
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.; Cattani, C.
2016
Legendre wavelets Galerkin method for solving nonlinear stochastic integral equations. Zbl 1355.65011
Heydari, M. H.; Hooshmandasl, M. R.; Shakiba, A.; Cattani, C.
2016
Wavelets Galerkin method for solving stochastic heat equation. Zbl 1356.65018
Heydari, M. H.; Hooshmandasl, M. R.; Loghmani, Gh. Barid; Cattani, C.
2016
On the fractal distribution of primes and prime-indexed primes by the binary image analysis. Zbl 1400.11012
Cattani, Carlo; Ciancio, Armando
2016
An efficient computational method based on the hat functions for solving fractional optimal control problems. Zbl 1341.49038
Heydari, M. H.; Hooshmandasl, M. R.; Shakiba, A.; Cattani, C.
2016
Wavelets method for the time fractional diffusion-wave equation. Zbl 1304.35748
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.; Cattani, C.
2015
An efficient computational method for solving nonlinear stochastic Itô integral equations: application for stochastic problems in physics. Zbl 1351.60088
Heydari, M. H.; Hooshmandasl, M. R.; Cattani, C.; Maalek Ghaini, F. M.
2015
Fractional dynamics. Zbl 1333.00024
Cattani, Carlo; Srivastava, Hari M.; Yang, Xiao-Jun
2015
Generalized hybrid kinetic mathematical model for population dynamics. Zbl 1326.35401
Cattani, Carlo; Ciancio, Armando
2015
Wavelets method for solving systems of nonlinear singular fractional Volterra integro-differential equations. Zbl 1344.65126
Heydari, M. H.; Hooshmandasl, M. R.; Mohammadi, F.; Cattani, C.
2014
A computational method for solving stochastic Itô-Volterra integral equations based on stochastic operational matrix for generalized hat basis functions. Zbl 1349.65711
Heydari, M. H.; Hooshmandasl, M. R.; Maalek Ghaini, F. M.; Cattani, C.
2014
Local fractional variational iteration and decomposition methods for wave equation on Cantor sets within local fractional operators. Zbl 1468.35226
Baleanu, Dumitru; Tenreiro Machado, J. A.; Cattani, Carlo; Baleanu, Mihaela Cristina; Yang, Xiao-Jun
2014
Application of local fractional series expansion method to solve Klein-Gordon equations on Cantor sets. Zbl 07022248
Yang, Ai-Min; Zhang, Yu-Zhu; Cattani, Carlo; Xie, Gong-Nan; Rashidi, Mohammad Mehdi; Zhou, Yi-Jun; Yang, Xiao-Jun
2014
Signal processing for nondifferentiable data defined on Cantor sets: a local fractional Fourier series approach. Zbl 1291.94021
Chen, Zhi-Yong; Cattani, Carlo; Zhong, Wei-Ping
2014
Picard successive approximation method for solving differential equations arising in fractal heat transfer with local fractional derivative. Zbl 07022305
Yang, Ai-Min; Zhang, Cheng; Jafari, Hossein; Cattani, Carlo; Jiao, Ying
2014
Local fractional Laplace variational iteration method for nonhomogeneous heat equations arising in fractal heat flow. Zbl 1407.65321
Xu, Shu; Ling, Xiang; Cattani, Carlo; Xie, Gong-Nan; Yang, Xiao-Jun; Zhao, Yang
2014
Solving Fokker-Planck equations on Cantor sets using local fractional decomposition method. Zbl 1468.65173
Yan, Shao-Hong; Chen, Xiao-Hong; Xie, Gong-Nan; Cattani, Carlo; Yang, Xiao-Jun
2014
Local fractional $$Z$$-transforms with applications to signals on Cantor sets. Zbl 1468.94171
Liu, Kai; Hu, Ren-Jie; Cattani, Carlo; Xie, Gong-Nan; Yang, Xiao-Jun; Zhao, Yang
2014
Approximate solutions for local fractional linear transport equations arising in fractal porous media. Zbl 1291.82114
Li, Meng; Hui, Xiao-Feng; Cattani, Carlo; Yang, Xiao-Jun; Zhao, Yang
2014
Fractal dynamical model of vehicular traffic flow within the local fractional conservation laws. Zbl 1468.90038
Wang, Long-Fei; Yang, Xiao-Jun; Baleanu, Dumitru; Cattani, Carlo; Zhao, Yang
2014
Legendre wavelets method for solving fractional population growth model in a closed system. Zbl 1296.65108
Heydari, M. H.; Hooshmandasl, M. R.; Cattani, C.; Li, Ming
2013
Information and modeling in complexity 2013. Zbl 1299.00007
Cattani, Carlo; Chen, Shengyong; Aldashev, Gani
2013
Characteristic roots of a class of fractional oscillators. Zbl 1328.34007
Li, Ming; Lim, S. C.; Cattani, Carlo; Scalia, Massimo
2013
Maxwell’s equations on Cantor sets: a local fractional approach. Zbl 1328.82035
Zhao, Yang; Baleanu, Dumitru; Cattani, Carlo; Cheng, De-Fu; Yang, Xiao-Jun
2013
On the fractal geometry of DNA by the binary image analysis. Zbl 1272.92013
Cattani, Carlo; Pierro, Gaetano
2013
Delay bound: fractal traffic passes through network servers. Zbl 1296.90023
Li, Ming; Zhao, Wei; Cattani, Carlo
2013
Local fractional discrete wavelet transform for solving signals on Cantor sets. Zbl 1299.94040
Zhao, Yang; Baleanu, Dumitru; Cattani, Carlo; Cheng, De-Fu; Yang, Xiao-Jun
2013
Analytical solutions of the one-dimensional heat equations arising in fractal transient conduction with local fractional derivative. Zbl 1291.35016
Yang, Ai-Ming; Cattani, Carlo; Jafari, Hossein; Yang, Xiao-Jun
2013
A class of solutions for the hybrid kinetic model in the tumor-immune system competition. Zbl 1296.35198
Cattani, Carlo; Ciancio, Armando
2013
A Shannon-Runge-Kutta-Gill method for convection-diffusion equations. Zbl 1296.76082
Duan, Xiaoming; Leng, Jinsong; Cattani, Carlo; Li, Caiyun
2013
Construction of bivariate nonseparable compactly supported orthogonal wavelets. Zbl 1299.94038
Leng, Jinsong; Huang, Tingzhu; Cattani, Carlo
2013
Chaotic charged system search with a feasible-based method for constraint optimization problems. Zbl 1296.78013
Nouhi, B.; Talatahari, S.; Kheiri, H.; Cattani, C.
2013
Markov models for image labeling. Zbl 1264.68189
Chen, S. Y.; Tong, Hanyang; Cattani, Carlo
2012
Fractional calculus and Shannon wavelet. Zbl 1264.42016
Cattani, Carlo
2012
Modeling of biological intelligence for SCM system optimization. Zbl 1235.90022
Chen, Shengyong; Zheng, Yujun; Cattani, Carlo; Wang, Wanliang
2012
Traffic dynamics on complex networks: a survey. Zbl 1264.90031
Chen, Shengyong; Huang, Wei; Cattani, Carlo; Altieri, Giuseppe
2012
On the existence of wavelet symmetries in archaea DNA. Zbl 1234.92014
Cattani, Carlo
2012
Separable transition density in the hybrid model for tumor-immune system competition. Zbl 1234.92026
Cattani, Carlo; Ciancio, Armando
2012
Entropy and multifractality for the myeloma multiple TET 2 gene. Zbl 1264.92017
Cattani, Carlo; Pierro, Gaetano; Altieri, Giuseppe
2012
Simplicial approach to fractal structures. Zbl 1264.28005
Cattani, Carlo; Laserra, Ettore; Bochicchio, Ivana
2012
Signorini cylindrical waves and Shannon wavelets. Zbl 1329.74105
Cattani, Carlo
2012
Adaptive binary arithmetic coder-based image feature and segmentation in the compressed domain. Zbl 1264.94014
Hsin, Hsi-Chin; Sung, Tze-Yun; Shieh, Yaw-Shih; Cattani, Carlo
2012
Multiobjective quantum evolutionary algorithm for the vehicle routing problem with customer satisfaction. Zbl 1264.90025
Zhang, Jingling; Wang, Wanliang; Zhao, Yanwei; Cattani, Carlo
2012
Fast detection of weak singularities in a chaotic signal using Lorenz system and the bisection algorithm. Zbl 1264.94069
Song, Tiezheng; Cattani, Carlo
2012
Hidden-Markov-Models-based dynamic hand gesture recognition. Zbl 1264.68155
Wang, Xiaoyan; Xia, Ming; Cai, Huiwen; Gao, Yong; Cattani, Carlo
2012
Complexity on acute myeloid leukemia mRNA transcript variant. Zbl 1235.92025
Cattani, Carlo; Pierro, Gaetano
2011
Second order Shannon wavelet approximation of $$C^2$$-functions. Zbl 1249.42024
Cattani, Carlo
2011
Fractals and hidden symmetries in DNA. Zbl 1189.92015
Cattani, Carlo
2010
Harmonic wavelet method towards solution of the Fredholm type integral equations of the second kind. Zbl 1186.65160
Cattani, C.; Kudreyko, A.
2010
Shannon wavelets for the solution of integrodifferential equations. Zbl 1191.65174
Cattani, Carlo
2010
Analysis of large-amplitude pulses in short time intervals: application to neuron interactions. Zbl 1189.37099
Mattioli, Gianni; Scalia, Massimo; Cattani, Carlo
2010
Application of periodized harmonic wavelets towards solution of eigenvalue problems for integral equations. Zbl 1191.65175
Cattani, Carlo; Kudreyko, Aleksey
2010
Metamodeling the learning-hiding competition between tumours and the immune system: A kinematic approach. Zbl 1201.34071
Cattani, Carlo; Ciancio, Armando; D&rsquo;Onofrio, Alberto
2010
Wavelet based approach to fractals and fractal signal denoising. Zbl 1273.94134
Cattani, Carlo
2009
Shannon wavelets theory. Zbl 1162.42314
Cattani, Carlo
2008
Qualitative analysis of second-order models of tumor-immune system competition. Zbl 1145.34303
Cattani, C.; Ciancio, A.
2008
Harmonic wavelet solution of Poisson’s problem. Zbl 1172.35309
Cattani, Carlo
2008
Mutiscale analysis of the Fisher equation. Zbl 1297.65209
Cattani, Carlo; Kudreyko, Aleksey
2008
On the discrete harmonic wavelet transform. Zbl 1166.65404
Cattani, Carlo; Kudreyko, Aleksey
2008
Short range phenomena: modeling, computational aspects and applications. Zbl 1162.94301
Cattani, Carlo; Li, Ming; Toma, Cristian
2008
Transversal waves in nonlinear Signorini model. Zbl 1297.74058
Cattani, Carlo; Nosova, Ekaterina
2008
Wavelet and wave analysis as applied to materials with micro or nanostructure. Zbl 1152.74001
Cattani, Carlo; Rushchitsky, Jeremiah
2007
Hybrid two scales mathematical tools for active particles modelling complex systems with learning hiding dynamics. Zbl 1142.82019
Cattani, C.; Ciancio, A.
2007
Third-order model for tumor-immune system competition. Zbl 1132.34319
Cattani, C.; Ciancio, A.
2007
Connection coefficients of Shannon wavelets. Zbl 1117.65179
Cattani, C.
2006
On a mathematical model of immune competition. Zbl 1278.92017
Cattani, C.; Ciancio, A.; Lods, B.
2006
Similarities and differencies in the description of evolution of quadratically nonlinear hyperelastic plane waves. Zbl 1126.74418
Ruschitskiy, Ya. Ya.; Cattani, C.
2006
Comparative analysis of nonlinear hyperelastic waves with plane or cylindrical front in materials with internal structure. Zbl 1126.74419
Ruschitsky, Ya. Ya.; Cattani, C.
2006
Wavelet analysis of chaotic systems. Zbl 1133.65044
Cattani, Carlo; Bochicchio, Ivana
2006
Analysis of singularities by short Haar wavelet transform. Zbl 1162.65424
Ciancio, Armando; Cattani, Carlo
2006
A wavelet approach to stability analysis of dynamical system orbits. Zbl 1131.42021
Cattani, C.
2006
Nonlinear plane waves in a hyperelastic medium deformed by the Signiorini law. Zbl 1114.74409
Cattani, C.; Ruschitsky, Ya. Ya.
2006
Entropy distribution and information content in DNA sequences. Zbl 1187.92037
Cattani, Carlo; Scalia, Massimo; Mattioli, Gianni
2006
Harmonic wavelets towards the solution of nonlinear PDE. Zbl 1118.65133
Cattani, C.
2005
Physical constants of a certain type of nonlinear elastic fibrous micro- and nanocomposites in the presence of rigid or soft nonlinearity. Zbl 1129.74013
Cattani, C.; Ruschitsky, Ya. Ya.; Sinchylo, S. V.
2005
Haar wavelets based technique in evolution problems. Zbl 1049.65103
Cattani, Carlo
2004
Haar wavelet-based technique for sharp jumps classification. Zbl 1046.94504
Cattani, C.
2004
Analysis of a solitary wave evolution in a composite material with application of the wavelet theory. Zbl 1075.74048
Ruschitsky, Ya. Ya.; Cattani, C.; Terletsky, E. V.
2004
Discrete differential operators in multidimensional Haar wavelet spaces. Zbl 1075.39008
Cattani, Carlo; Sánchez Ruiz, Luis M.
2004
Evolution interaction equations for plane cubic nonlinear elastic waves. Zbl 1082.74026
Ruschitsky, Ya. Ya.; Cattani, C.
2004
Comparative analysis of profile evolution of an elastic harmonic wave caused by the second and third harmonic generation. Zbl 1083.74505
Cattani, C.; Ruschitsky, Ya. Ya.; Sinchilo, S. V.
2004
...and 18 more Documents
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#### Cited in 132 Serials

 127 Mathematical Problems in Engineering 37 Abstract and Applied Analysis 35 Applied Mathematics and Computation 24 Journal of Computational and Applied Mathematics 22 Advances in Mathematical Physics 20 Applied Numerical Mathematics 20 Computational and Applied Mathematics 20 Computational & Mathematical Methods in Medicine 19 Computers & Mathematics with Applications 16 International Applied Mechanics 15 Advances in Difference Equations 13 International Journal of Applied and Computational Mathematics 11 Chaos, Solitons and Fractals 11 Mathematical and Computer Modelling 10 Communications in Nonlinear Science and Numerical Simulation 9 Journal of Computational Physics 9 International Journal of Wavelets, Multiresolution and Information Processing 8 Journal of Nonlinear Science and Applications 7 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 7 Nonlinear Dynamics 7 Computational Methods for Differential Equations 6 Applied Mathematical Modelling 6 Engineering Analysis with Boundary Elements 6 Journal of Mathematical Chemistry 5 Applied Mathematics Letters 5 Advances in High Energy Physics 5 Asian-European Journal of Mathematics 5 Mathematical Sciences 4 Computer Methods in Applied Mechanics and Engineering 4 Physica A 4 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 4 International Journal of Computer Mathematics 4 Fractals 4 International Journal of Nonlinear Sciences and Numerical Simulation 4 Symmetry 4 Journal of Function Spaces 3 Mathematics and Computers in Simulation 3 Journal of Information & Optimization Sciences 3 Computer Aided Geometric Design 3 Computational Mechanics 3 Numerical Algorithms 3 SIAM Journal on Scientific Computing 3 Complexity 3 International Journal of Computational Methods 3 Mediterranean Journal of Mathematics 3 International Journal of Biomathematics 3 Tbilisi Mathematical Journal 3 Journal of Theoretical Biology 3 Journal of Mathematics 3 Open Mathematics 2 Journal of the Franklin Institute 2 Journal of Mathematical Physics 2 Bulletin of Mathematical Biology 2 Journal of Scientific Computing 2 Journal of Integral Equations and Applications 2 Applications of Mathematics 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Advances in Computational Mathematics 2 Chaos 2 Fractional Calculus & Applied Analysis 2 Discrete Dynamics in Nature and Society 2 Journal of Interdisciplinary Mathematics 2 Journal of Applied Mathematics 2 Entropy 2 Applications and Applied Mathematics 2 S$$\vec{\text{e}}$$MA Journal 2 Axioms 2 Wavelets and Linear Algebra 1 International Journal of Engineering Science 1 International Journal of Theoretical Physics 1 Journal of Mathematical Analysis and Applications 1 Physics Letters. B 1 Rocky Mountain Journal of Mathematics 1 Calcolo 1 Information Sciences 1 International Journal of Mathematics and Mathematical Sciences 1 Journal of Differential Equations 1 Journal of Optimization Theory and Applications 1 Numerische Mathematik 1 Studies in Applied Mathematics 1 Stochastic Analysis and Applications 1 Acta Applicandae Mathematicae 1 Acta Mathematicae Applicatae Sinica. English Series 1 Facta Universitatis. Series Mathematics and Informatics 1 Numerical Methods for Partial Differential Equations 1 Asymptotic Analysis 1 International Journal of Computational Geometry & Applications 1 Computational Geometry 1 Linear Algebra and its Applications 1 Journal of Mathematical Imaging and Vision 1 Communications in Numerical Methods in Engineering 1 Journal of the Egyptian Mathematical Society 1 Turkish Journal of Mathematics 1 Georgian Mathematical Journal 1 Random Operators and Stochastic Equations 1 The Journal of Fourier Analysis and Applications 1 Differential Equations and Dynamical Systems 1 Taiwanese Journal of Mathematics 1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 1 Methodology and Computing in Applied Probability ...and 32 more Serials
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#### Cited in 44 Fields

 325 Numerical analysis (65-XX) 194 Partial differential equations (35-XX) 92 Ordinary differential equations (34-XX) 82 Real functions (26-XX) 76 Integral equations (45-XX) 65 Biology and other natural sciences (92-XX) 57 Information and communication theory, circuits (94-XX) 47 Probability theory and stochastic processes (60-XX) 42 Mechanics of deformable solids (74-XX) 35 Harmonic analysis on Euclidean spaces (42-XX) 31 Systems theory; control (93-XX) 29 Computer science (68-XX) 24 Statistics (62-XX) 24 Operations research, mathematical programming (90-XX) 22 Fluid mechanics (76-XX) 22 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 21 Dynamical systems and ergodic theory (37-XX) 19 Measure and integration (28-XX) 18 Special functions (33-XX) 18 Calculus of variations and optimal control; optimization (49-XX) 16 Statistical mechanics, structure of matter (82-XX) 15 Approximations and expansions (41-XX) 10 Operator theory (47-XX) 9 Integral transforms, operational calculus (44-XX) 9 Optics, electromagnetic theory (78-XX) 8 Mechanics of particles and systems (70-XX) 7 Number theory (11-XX) 7 Classical thermodynamics, heat transfer (80-XX) 7 Quantum theory (81-XX) 6 Geophysics (86-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 3 Functions of a complex variable (30-XX) 3 Difference and functional equations (39-XX) 3 Manifolds and cell complexes (57-XX) 2 Combinatorics (05-XX) 2 Group theory and generalizations (20-XX) 2 Functional analysis (46-XX) 2 Convex and discrete geometry (52-XX) 2 General topology (54-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Relativity and gravitational theory (83-XX) 1 Mathematics education (97-XX)

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