Edit Profile (opens in new tab) Caputo, Michele Co-Author Distance Author ID: caputo.michele Published as: Caputo, Michele; Caputo, M. Homepage: http://digilander.libero.it/idrana/caputo/ External Links: Wikidata · ResearchGate · dblp · GND · IdRef Documents Indexed: 38 Publications since 1952 Biographic References: 2 Publications Co-Authors: 8 Co-Authors with 12 Joint Publications 121 Co-Co-Authors all top 5 Co-Authors 25 single-authored 4 Fabrizio, Mauro 3 Cametti, Cesare 2 Beghin, Luisa 2 Carcione, José M. 1 Botelho, Marco A. B. 1 Ciarletta, Michele 1 Console, Rodolfo 1 Mainardi, Francesco 1 Tibullo, Vincenzo all top 5 Serials 5 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 4 Fractional Calculus & Applied Analysis 3 Annali dell’Università di Ferrara. Nuova Serie. Sezione VII 3 Meccanica 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Scienze Fisiche e Naturali 2 Journal of Geophysical Research 1 Journal of the Acoustical Society of America 1 Journal of Computational Physics 1 Mathematical Biosciences 1 Mathematical Methods in the Applied Sciences 1 Physica A 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Stochastic Analysis and Applications 1 Celestial Mechanics 1 Journal of Vibration and Control 1 Studies in Nonlinear Dynamics and Econometrics 1 Communications in Nonlinear Science and Numerical Simulation 1 International Journal of Applied Mathematics 1 Periodico di Matematiche. IV. Serie 1 Communications in Applied and Industrial Mathematics 1 Journal of Theoretical Biology all top 5 Fields 14 Mechanics of deformable solids (74-XX) 10 Real functions (26-XX) 7 Partial differential equations (35-XX) 5 Ordinary differential equations (34-XX) 4 Fluid mechanics (76-XX) 4 Biology and other natural sciences (92-XX) 3 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Integral equations (45-XX) 2 Operator theory (47-XX) 2 Probability theory and stochastic processes (60-XX) 2 Optics, electromagnetic theory (78-XX) 2 Geophysics (86-XX) 1 History and biography (01-XX) 1 Special functions (33-XX) 1 Integral transforms, operational calculus (44-XX) 1 Numerical analysis (65-XX) 1 Mechanics of particles and systems (70-XX) 1 Statistical mechanics, structure of matter (82-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 20 Publications have been cited 444 times in 382 Documents Cited by ▼ Year ▼ A new dissipation model based on memory mechanism. Zbl 1213.74005 Caputo, M.; Mainardi, F. 144 2007 Distributed order differential equations modelling dielectric induction and diffusion. Zbl 1042.34028 Caputo, Michele 107 2001 Mean fractional-order-derivatives differential equations and filters. Zbl 0882.34007 Caputo, Michele 96 1995 Linear models of dissipation whose \(Q\) is almost frequency independent. II. (Reprint). Zbl 1210.65130 Caputo, Michele 90 2008 Vibrations of an infinite viscoelastic layer with a dissipative memory. Zbl 0285.73031 Caputo, M. 52 1974 On the notion of fractional derivative and applications to the hysteresis phenomena. Zbl 1380.74098 Caputo, Michele; Fabrizio, Mauro 38 2017 Damage and fatigue described by a fractional derivative model. Zbl 1349.74030 Caputo, Michele; Fabrizio, Mauro 35 2015 Modeling extreme-event precursors with the fractional diffusion equation. Zbl 1515.35308 Caputo, Michele; Carcione, José M.; Botelho, Marco A. B. 16 2015 The Green function of the diffusion of fluids in porous media with memory. Zbl 0879.76098 Caputo, Michele 14 1996 Diffusion with memory in two cases of biological interest. Zbl 1400.92163 Caputo, Michele; Cametti, Cesare 14 2008 Wave simulation in dissipative media described by distributed-order fractional time derivatives. Zbl 1271.74233 Caputo, Michele; Carcione, José M. 12 2011 Commutative and associative properties of the Caputo fractional derivative and its generalizing convolution operator. Zbl 1451.26007 Beghin, Luisa; Caputo, Michele 7 2020 Fractional derivatives in the transport of drugs across biological materials and human skin. Zbl 1400.92040 Caputo, Michele; Cametti, Cesare 5 2016 Admissible frequency domain response functions of dielectrics. Zbl 1322.78003 Caputo, Michele; Fabrizio, Mauro 3 2015 Fractional derivatives in the diffusion process in heterogeneous systems: the case of transdermal patches. Zbl 1379.92015 Caputo, Michele; Cametti, Cesare 2 2017 Memory, reciprocity and double Green function in the diffusion through a layer. Zbl 1143.26003 Caputo, Michele 1 2006 3-dimensional physically consistent diffusion in anisotropic media with memory. Zbl 0948.76075 Caputo, Michele 1 1998 Sulla legge di distribuzione degli errori nella misura delle basi dovuti all’imperfetto alleneamento delle spranghe. Zbl 0068.37702 Caputo, Michele 1 1955 Rheologies quasi wave number independent in a sphere and splitting the spectral lines. Zbl 0715.73029 Caputo, Michele 1 1988 The evolution and homogeneity of EU economies (with an econometric approach). Zbl 1302.91143 Caputo, Michele 1 2014 Commutative and associative properties of the Caputo fractional derivative and its generalizing convolution operator. Zbl 1451.26007 Beghin, Luisa; Caputo, Michele 7 2020 On the notion of fractional derivative and applications to the hysteresis phenomena. Zbl 1380.74098 Caputo, Michele; Fabrizio, Mauro 38 2017 Fractional derivatives in the diffusion process in heterogeneous systems: the case of transdermal patches. Zbl 1379.92015 Caputo, Michele; Cametti, Cesare 2 2017 Fractional derivatives in the transport of drugs across biological materials and human skin. Zbl 1400.92040 Caputo, Michele; Cametti, Cesare 5 2016 Damage and fatigue described by a fractional derivative model. Zbl 1349.74030 Caputo, Michele; Fabrizio, Mauro 35 2015 Modeling extreme-event precursors with the fractional diffusion equation. Zbl 1515.35308 Caputo, Michele; Carcione, José M.; Botelho, Marco A. B. 16 2015 Admissible frequency domain response functions of dielectrics. Zbl 1322.78003 Caputo, Michele; Fabrizio, Mauro 3 2015 The evolution and homogeneity of EU economies (with an econometric approach). Zbl 1302.91143 Caputo, Michele 1 2014 Wave simulation in dissipative media described by distributed-order fractional time derivatives. Zbl 1271.74233 Caputo, Michele; Carcione, José M. 12 2011 Linear models of dissipation whose \(Q\) is almost frequency independent. II. (Reprint). Zbl 1210.65130 Caputo, Michele 90 2008 Diffusion with memory in two cases of biological interest. Zbl 1400.92163 Caputo, Michele; Cametti, Cesare 14 2008 A new dissipation model based on memory mechanism. Zbl 1213.74005 Caputo, M.; Mainardi, F. 144 2007 Memory, reciprocity and double Green function in the diffusion through a layer. Zbl 1143.26003 Caputo, Michele 1 2006 Distributed order differential equations modelling dielectric induction and diffusion. Zbl 1042.34028 Caputo, Michele 107 2001 3-dimensional physically consistent diffusion in anisotropic media with memory. Zbl 0948.76075 Caputo, Michele 1 1998 The Green function of the diffusion of fluids in porous media with memory. Zbl 0879.76098 Caputo, Michele 14 1996 Mean fractional-order-derivatives differential equations and filters. Zbl 0882.34007 Caputo, Michele 96 1995 Rheologies quasi wave number independent in a sphere and splitting the spectral lines. Zbl 0715.73029 Caputo, Michele 1 1988 Vibrations of an infinite viscoelastic layer with a dissipative memory. Zbl 0285.73031 Caputo, M. 52 1974 Sulla legge di distribuzione degli errori nella misura delle basi dovuti all’imperfetto alleneamento delle spranghe. Zbl 0068.37702 Caputo, Michele 1 1955 all cited Publications top 5 cited Publications all top 5 Cited by 712 Authors 18 Liu, Fawang 13 Turner, Ian William 11 Doungmo Goufo, Emile Franc 9 Băleanu, Dumitru I. 9 Feng, Libo 9 Mainardi, Francesco 7 Atangana, Abdon 7 Caputo, Michele 6 Ford, Neville J. 5 Atanackovic, Teodor M. 5 Chen, Yangquan 5 Fëdorov, Vladimir Evgen’evich 5 Gorenflo, Rudolf 5 Machado, José António Tenreiro 5 Malik, Salman A. 4 Abbaszadeh, Mostafa 4 Abdeljawad, Thabet 4 Ansari, Alireza 4 Awad, Emad S. 4 Bittencourt, Marco Lúcio 4 Boldrini, José Luiz 4 Dehghan Takht Fooladi, Mehdi 4 Fabrizio, Mauro 4 Fernández-Anaya, Guillermo 4 Kumar, Sunil 4 Li, Hong 4 Luchko, Yuri 4 Metzler, Ralf 4 Ordokhani, Yadollah 4 Pilipović, Stevan 4 Razzaghi, Mohsen 4 Saadatmandi, Abbas 4 Zaky, Mahmoud A. 3 Abdrakhmanova, Aliya A. 3 Aboelenen, Tarek 3 Anh, Vo V. 3 Aziz, Sara 3 Coloma, Nicolás 3 Farghaly, Ahmed A. M. 3 Gómez-Aguilar, José Francisco 3 Haveroth, G. A. 3 Jiang, Xiaoyun 3 Kumar, Yashveer 3 Li, Jing 3 Li, Yan 3 Li, Zhiyuan 3 Liu, Lin 3 Liu, Yang 3 Ochoa-Tocachi, Diego 3 Rodrigues, Maria Manuela 3 Saleem, Muhammad Shoaib 3 Singh, Vineet Kumar 3 Sun, Zhizhong 3 Vieira, Nelson 3 Zeid, Samaneh Soradi 3 Zorica, Dusan 2 Abed-Elhameed, Tarek M. 2 Abouelregal, Ahmed E. 2 Agarwal, Ravi P. 2 Akgül, Ali 2 Almeida, Ricardo 2 Al-saedi, Ahmed Eid Salem 2 Atkinson, Colin 2 Avcı, Derya 2 Barros de Moraes, Eduardo A. 2 Calcagni, Gianluca 2 Cametti, Cesare 2 Carbotti, Alessandro 2 Carcione, José M. 2 Ceballos, Johan 2 Chechkin, Aleksei V. 2 Chen, Wen 2 Chiarelli, L. R. 2 Chou, Lot-Kei 2 Diethelm, Kai 2 Dipierro, Serena 2 Du, Tingsong 2 Duan, Junsheng 2 Duong, Pham Luu Trung 2 Eftekhari, Tahereh 2 Fardi, Mojtaba 2 Farmanborda, Muster Satis 2 Fatmawati, Fatmawati 2 Fernandez, Arran 2 Ferrás, Luis L. 2 Ferreira, Milton 2 Fumes, F. G. 2 Gao, Xinghua 2 Henderson, Johnny Lee 2 Heris, Mahdi Saedshoar 2 Holm, Sverre 2 Hosein, Aiblaastin 2 Huang, Ting-Zhu 2 Huang, Xin 2 Ilyas, Asim 2 Jafari, Hossein 2 Janev, Marko 2 Jarad, Fahd 2 Javidi, Mohammad 2 Jian, Huanyan ...and 612 more Authors all top 5 Cited in 124 Serials 49 Fractional Calculus & Applied Analysis 19 Chaos, Solitons and Fractals 16 Computers & Mathematics with Applications 14 Applied Mathematics and Computation 14 Journal of Computational and Applied Mathematics 11 Advances in Difference Equations 9 Mathematical Methods in the Applied Sciences 9 Applied Numerical Mathematics 8 Mathematics and Computers in Simulation 8 Communications in Nonlinear Science and Numerical Simulation 7 Fractals 6 Numerical Algorithms 6 Applied Mathematical Modelling 6 Nonlinear Dynamics 5 Computer Methods in Applied Mechanics and Engineering 5 Meccanica 5 Numerical Methods for Partial Differential Equations 5 Computational and Applied Mathematics 5 Turkish Journal of Mathematics 5 International Journal of Nonlinear Sciences and Numerical Simulation 5 AIMS Mathematics 4 Journal of Computational Physics 4 Physica A 4 Mathematical Problems in Engineering 4 Mathematical Modelling and Analysis 4 Computational Methods for Differential Equations 3 Journal of Mathematical Analysis and Applications 3 Computational Mechanics 3 Applied Mathematics Letters 3 Engineering Analysis with Boundary Elements 3 Journal of Vibration and Control 3 Inverse Problems in Science and Engineering 3 Mathematical Sciences 3 Journal of Function Spaces 3 Electronic Research Archive 2 Acta Mechanica 2 Journal of the Franklin Institute 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 Journal of Differential Equations 2 Acta Mathematicae Applicatae Sinica. English Series 2 Journal of Integral Equations and Applications 2 International Journal of Computer Mathematics 2 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 2 SIAM Journal on Scientific Computing 2 Journal of Mathematical Sciences (New York) 2 Advances in Applied Clifford Algebras 2 Abstract and Applied Analysis 2 Discrete and Continuous Dynamical Systems. Series B 2 Communications on Pure and Applied Analysis 2 Journal of Applied Mathematics and Computing 2 Mediterranean Journal of Mathematics 2 Communications in Computational Physics 2 Discrete and Continuous Dynamical Systems. Series S 2 Journal of Nonlinear Science and Applications 2 S\(\vec{\text{e}}\)MA Journal 2 Iranian Journal of Numerical Analysis and Optimization 2 Chelyabinskiĭ Fiziko-Matematicheskiĭ Zhurnal 1 Advances in Applied Probability 1 Classical and Quantum Gravity 1 Computers and Fluids 1 Computer Physics Communications 1 Inverse Problems 1 Lithuanian Mathematical Journal 1 Linear and Multilinear Algebra 1 Mathematical Biosciences 1 Mathematical Notes 1 Fuzzy Sets and Systems 1 Journal of Functional Analysis 1 Journal of Optimization Theory and Applications 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Proceedings of the American Mathematical Society 1 Quaestiones Mathematicae 1 Quarterly of Applied Mathematics 1 Mathematica Numerica Sinica 1 Statistics & Probability Letters 1 Acta Applicandae Mathematicae 1 Bulletin of the Iranian Mathematical Society 1 Journal of Scientific Computing 1 Signal Processing 1 Japan Journal of Industrial and Applied Mathematics 1 Applications of Mathematics 1 Proceedings of the Royal Society of Edinburgh. Section A. Mathematics 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Scienze Fisiche e Naturali 1 International Journal of Numerical Methods for Heat & Fluid Flow 1 Filomat 1 Journal of Inverse and Ill-Posed Problems 1 ETNA. Electronic Transactions on Numerical Analysis 1 Differential Equations and Dynamical Systems 1 Taiwanese Journal of Mathematics 1 Studies in Nonlinear Dynamics and Econometrics 1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik 1 Analysis (München) 1 International Journal of Applied Mathematics and Computer Science 1 Computational Geosciences 1 Journal of High Energy Physics 1 Lobachevskii Journal of Mathematics 1 Computational Methods in Applied Mathematics 1 Acta Mathematica Scientia. Series B. (English Edition) 1 Nonlinear Dynamics and Systems Theory 1 Sibirskie Èlektronnye Matematicheskie Izvestiya ...and 24 more Serials all top 5 Cited in 43 Fields 172 Partial differential equations (35-XX) 138 Real functions (26-XX) 138 Numerical analysis (65-XX) 109 Ordinary differential equations (34-XX) 38 Mechanics of deformable solids (74-XX) 33 Special functions (33-XX) 25 Integral equations (45-XX) 23 Probability theory and stochastic processes (60-XX) 23 Fluid mechanics (76-XX) 22 Biology and other natural sciences (92-XX) 21 Systems theory; control (93-XX) 20 Operator theory (47-XX) 19 Integral transforms, operational calculus (44-XX) 14 Calculus of variations and optimal control; optimization (49-XX) 13 Dynamical systems and ergodic theory (37-XX) 11 Classical thermodynamics, heat transfer (80-XX) 9 Statistical mechanics, structure of matter (82-XX) 8 Harmonic analysis on Euclidean spaces (42-XX) 7 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 6 Linear and multilinear algebra; matrix theory (15-XX) 6 Approximations and expansions (41-XX) 5 Difference and functional equations (39-XX) 4 History and biography (01-XX) 4 Geophysics (86-XX) 4 Information and communication theory, circuits (94-XX) 3 Measure and integration (28-XX) 3 Functions of a complex variable (30-XX) 3 Functional analysis (46-XX) 3 Statistics (62-XX) 3 Quantum theory (81-XX) 2 Combinatorics (05-XX) 2 Topological groups, Lie groups (22-XX) 2 Differential geometry (53-XX) 2 Mechanics of particles and systems (70-XX) 2 Optics, electromagnetic theory (78-XX) 2 Relativity and gravitational theory (83-XX) 2 Mathematics education (97-XX) 1 General and overarching topics; collections (00-XX) 1 Number theory (11-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 General topology (54-XX) 1 Astronomy and astrophysics (85-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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