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Chechkin, Aleksei V.

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Author ID: chechkin.aleksei-v Recent zbMATH articles by "Chechkin, Aleksei V."
Published as: Chechkin, A. V.; Chechkin, Aleksei V.; Chechkin, Aleksei; Chechkin, A.; Chechkin, Alexei
Documents Indexed: 49 Publications since 1980, including 1 Book

Publications by Year

Citations contained in zbMATH Open

31 Publications have been cited 500 times in 437 Documents Cited by Year
Matrix approach to discrete fractional calculus. II: Partial fractional differential equations. Zbl 1160.65308
Podlubny, Igor; Chechkin, Aleksei; Skovranek, Tomas; Chen, Yangquan; Vinagre Jara, Blas M.
143
2009
Distributed order time fractional diffusion equation. Zbl 1089.60046
Chechkin, A. V.; Gorenflo, R.; Sokolov, I. M.; Gonchar, V. Yu.
81
2003
Fractional diffusion in inhomogeneous media. Zbl 1082.76097
Chechkin, A. V.; Gorenflo, R.; Sokolov, I. M.
74
2005
Diffusion and Fokker-Planck-Smoluchowski equations with generalized memory kernel. Zbl 1338.60199
Sandev, Trifce; Chechkin, Aleksei; Kantz, Holger; Metzler, Ralf
26
2015
Lévy flights in a steep potential well. Zbl 1157.82305
Chechkin, Aleksei V.; Gonchar, Vsevolod Yu.; Klafter, Joseph; Metzler, Ralf; Tanatarov, Leonid V.
25
2004
First passage and arrival time densities for Lévy flights and the failure of the method of images. Zbl 1049.60090
Chechkin, Aleksei V.; Metzler, Ralf; Gonchar, Vsevolod Y.; Klafter, Joseph; Tanatarov, Leonid V.
22
2003
Marcus versus Stratonovich for systems with jump noise. Zbl 1326.60083
Chechkin, Alexei; Pavlyukevich, Ilya
13
2014
From continuous time random walks to the generalized diffusion equation. Zbl 06894908
Sandev, Trifce; Metzler, Ralf; Chechkin, Aleksei
12
2018
Codifference as a practical tool to measure interdependence. Zbl 1395.62286
Wyłomańska, Agnieszka; Chechkin, Aleksei; Gajda, Janusz; Sokolov, Igor M.
9
2015
Beyond monofractional kinetics. Zbl 1374.45016
Sandev, Trifce; Sokolov, Igor M.; Metzler, Ralf; Chechkin, Aleksei
9
2017
Generalized elastic model: fractional Langevin description, fluctuation relation and linear response. Zbl 1267.82103
Taloni, A.; Chechkin, A.; Klafter, J.
9
2013
Natural and modified forms of distributed-order fractional diffusion equations. Zbl 1297.35267
Chechkin, Aleksei; Sokolov, Igor M.; Klafter, Joseph
8
2012
Localisation and universal fluctuations in ultraslow diffusion processes. Zbl 1305.60074
Godec, Aljaž; Chechkin, Aleksei V.; Barkai, Eli; Kantz, Holger; Metzler, Ralf
8
2014
Comb model with slow and ultraslow diffusion. Zbl 1386.60287
Sandev, T.; Iomin, A.; Kantz, H.; Metzler, R.; Chechkin, A.
8
2016
Correlated continuous time random walks: combining scale-invariance with long-range memory for spatial and temporal dynamics. Zbl 1305.60032
Schulz, Johannes H. P.; Chechkin, Aleksei V.; Metzler, Ralf
7
2013
Generalized diffusion-wave equation with memory kernel. Zbl 1422.35118
Sandev, Trifce; Tomovski, Zivorad; Dubbeldam, Johan L. A.; Chechkin, Aleksei
7
2019
Some fundamental aspects of Lévy flights. Zbl 1142.82341
Metzler, Ralf; Chechkin, Aleksei V.; Gonchar, Vsevolod Yu.; Klafter, Joseph
6
2007
Ageing and confinement in non-ergodic heterogeneous diffusion processes. Zbl 1351.37018
Cherstvy, Andrey G.; Chechkin, Aleksei V.; Metzler, Ralf
5
2014
Self and spurious multi-affinity of ordinary Lévy motion, and pseudo-Gaussian relations. Zbl 0991.60036
Chechkin, A. V.; Gonchar, V. Yu.
4
2000
Relaxation to stationary states for anomalous diffusion. Zbl 1323.76109
Dybiec, Bartłomiej; Sokolov, Igor M.; Chechkin, Aleksei V.
4
2011
Stationary solutions of the fractional kinetic equation with a symmetric power-law potential. Zbl 1031.82041
Gonchar, V. Yu.; Tanatarov, L. V.; Chechkin, A. V.
3
2002
Bulk-mediated surface diffusion on a cylinder in the fast exchange limit. Zbl 1267.82112
Chechkin, A. V.; Zaid, I. M.; Lomholt, M. A.; Sokolov, I. M.; Metzler, R.
3
2013
The Bogolyubov-Born-Green-Kirkwood-Yvon hierarchy and Fokker-Planck equation for many-body dissipative randomly driven systems. Zbl 1317.82033
Sliusarenko, O. Yu.; Chechkin, A. V.; Slyusarenko, Yu. V.
2
2015
To hit or to pass it over-remarkable transient behavior of first arrivals and passages for Lévy flights in finite domains. Zbl 1357.82056
Dybiec, Bartłomiej; Gudowska-Nowak, Ewa; Chechkin, Aleksei
2
2016
Search reliability and search efficiency of combined Lévy-Brownian motion: long relocations mingled with thorough local exploration. Zbl 1350.60044
Palyulin, Vladimir V.; Chechkin, Aleksei V.; Klages, Rainer; Metzler, Ralf
2
2016
Conservative random walks in confining potentials. Zbl 1422.60074
Dybiec, Bartłomiej; Capała, Karol; Chechkin, Aleksei V.; Metzler, Ralf
2
2019
Anomalous diffusion and Lévy flights in channeling. Zbl 1123.82346
Greenenko, A. A.; Chechkin, A. V.; Shul’ga, N. F.
2
2004
Intellectualization of a complex system as a means of maintaining its information-system safety. Zbl 1288.94055
Chechkin, A. V.; Pirogov, M. V.
1
2010
Two-dimensional force-free relaxation and superdiffusion governed by fractional kinetic equations. Zbl 0978.82073
Chechkin, A. V.; Gonchar, V. Yu.
1
2000
First passage statistics for diffusing diffusivity. Zbl 1422.82019
Sposini, Vittoria; Chechkin, Aleksei; Metzler, Ralf
1
2019
Space-fractional Fokker-Planck equation and optimization of random search processes in the presence of an external bias. Zbl 1456.82784
Palyulin, Vladimir V.; Chechkin, Aleksei V.; Metzler, Ralf
1
2014
Generalized diffusion-wave equation with memory kernel. Zbl 1422.35118
Sandev, Trifce; Tomovski, Zivorad; Dubbeldam, Johan L. A.; Chechkin, Aleksei
7
2019
Conservative random walks in confining potentials. Zbl 1422.60074
Dybiec, Bartłomiej; Capała, Karol; Chechkin, Aleksei V.; Metzler, Ralf
2
2019
First passage statistics for diffusing diffusivity. Zbl 1422.82019
Sposini, Vittoria; Chechkin, Aleksei; Metzler, Ralf
1
2019
From continuous time random walks to the generalized diffusion equation. Zbl 06894908
Sandev, Trifce; Metzler, Ralf; Chechkin, Aleksei
12
2018
Beyond monofractional kinetics. Zbl 1374.45016
Sandev, Trifce; Sokolov, Igor M.; Metzler, Ralf; Chechkin, Aleksei
9
2017
Comb model with slow and ultraslow diffusion. Zbl 1386.60287
Sandev, T.; Iomin, A.; Kantz, H.; Metzler, R.; Chechkin, A.
8
2016
To hit or to pass it over-remarkable transient behavior of first arrivals and passages for Lévy flights in finite domains. Zbl 1357.82056
Dybiec, Bartłomiej; Gudowska-Nowak, Ewa; Chechkin, Aleksei
2
2016
Search reliability and search efficiency of combined Lévy-Brownian motion: long relocations mingled with thorough local exploration. Zbl 1350.60044
Palyulin, Vladimir V.; Chechkin, Aleksei V.; Klages, Rainer; Metzler, Ralf
2
2016
Diffusion and Fokker-Planck-Smoluchowski equations with generalized memory kernel. Zbl 1338.60199
Sandev, Trifce; Chechkin, Aleksei; Kantz, Holger; Metzler, Ralf
26
2015
Codifference as a practical tool to measure interdependence. Zbl 1395.62286
Wyłomańska, Agnieszka; Chechkin, Aleksei; Gajda, Janusz; Sokolov, Igor M.
9
2015
The Bogolyubov-Born-Green-Kirkwood-Yvon hierarchy and Fokker-Planck equation for many-body dissipative randomly driven systems. Zbl 1317.82033
Sliusarenko, O. Yu.; Chechkin, A. V.; Slyusarenko, Yu. V.
2
2015
Marcus versus Stratonovich for systems with jump noise. Zbl 1326.60083
Chechkin, Alexei; Pavlyukevich, Ilya
13
2014
Localisation and universal fluctuations in ultraslow diffusion processes. Zbl 1305.60074
Godec, Aljaž; Chechkin, Aleksei V.; Barkai, Eli; Kantz, Holger; Metzler, Ralf
8
2014
Ageing and confinement in non-ergodic heterogeneous diffusion processes. Zbl 1351.37018
Cherstvy, Andrey G.; Chechkin, Aleksei V.; Metzler, Ralf
5
2014
Space-fractional Fokker-Planck equation and optimization of random search processes in the presence of an external bias. Zbl 1456.82784
Palyulin, Vladimir V.; Chechkin, Aleksei V.; Metzler, Ralf
1
2014
Generalized elastic model: fractional Langevin description, fluctuation relation and linear response. Zbl 1267.82103
Taloni, A.; Chechkin, A.; Klafter, J.
9
2013
Correlated continuous time random walks: combining scale-invariance with long-range memory for spatial and temporal dynamics. Zbl 1305.60032
Schulz, Johannes H. P.; Chechkin, Aleksei V.; Metzler, Ralf
7
2013
Bulk-mediated surface diffusion on a cylinder in the fast exchange limit. Zbl 1267.82112
Chechkin, A. V.; Zaid, I. M.; Lomholt, M. A.; Sokolov, I. M.; Metzler, R.
3
2013
Natural and modified forms of distributed-order fractional diffusion equations. Zbl 1297.35267
Chechkin, Aleksei; Sokolov, Igor M.; Klafter, Joseph
8
2012
Relaxation to stationary states for anomalous diffusion. Zbl 1323.76109
Dybiec, Bartłomiej; Sokolov, Igor M.; Chechkin, Aleksei V.
4
2011
Intellectualization of a complex system as a means of maintaining its information-system safety. Zbl 1288.94055
Chechkin, A. V.; Pirogov, M. V.
1
2010
Matrix approach to discrete fractional calculus. II: Partial fractional differential equations. Zbl 1160.65308
Podlubny, Igor; Chechkin, Aleksei; Skovranek, Tomas; Chen, Yangquan; Vinagre Jara, Blas M.
143
2009
Some fundamental aspects of Lévy flights. Zbl 1142.82341
Metzler, Ralf; Chechkin, Aleksei V.; Gonchar, Vsevolod Yu.; Klafter, Joseph
6
2007
Fractional diffusion in inhomogeneous media. Zbl 1082.76097
Chechkin, A. V.; Gorenflo, R.; Sokolov, I. M.
74
2005
Lévy flights in a steep potential well. Zbl 1157.82305
Chechkin, Aleksei V.; Gonchar, Vsevolod Yu.; Klafter, Joseph; Metzler, Ralf; Tanatarov, Leonid V.
25
2004
Anomalous diffusion and Lévy flights in channeling. Zbl 1123.82346
Greenenko, A. A.; Chechkin, A. V.; Shul’ga, N. F.
2
2004
Distributed order time fractional diffusion equation. Zbl 1089.60046
Chechkin, A. V.; Gorenflo, R.; Sokolov, I. M.; Gonchar, V. Yu.
81
2003
First passage and arrival time densities for Lévy flights and the failure of the method of images. Zbl 1049.60090
Chechkin, Aleksei V.; Metzler, Ralf; Gonchar, Vsevolod Y.; Klafter, Joseph; Tanatarov, Leonid V.
22
2003
Stationary solutions of the fractional kinetic equation with a symmetric power-law potential. Zbl 1031.82041
Gonchar, V. Yu.; Tanatarov, L. V.; Chechkin, A. V.
3
2002
Self and spurious multi-affinity of ordinary Lévy motion, and pseudo-Gaussian relations. Zbl 0991.60036
Chechkin, A. V.; Gonchar, V. Yu.
4
2000
Two-dimensional force-free relaxation and superdiffusion governed by fractional kinetic equations. Zbl 0978.82073
Chechkin, A. V.; Gonchar, V. Yu.
1
2000
all top 5

Cited by 668 Authors

13 Atangana, Abdon
12 Băleanu, Dumitru I.
12 Chechkin, Aleksei V.
12 Li, Changpin
12 Sandev, Trifce
10 Metzler, Ralf
10 Sun, Hongguang
8 Chen, Yangquan
8 Dybiec, Bartłomiej
8 Liu, Fawang
8 Mainardi, Francesco
8 Meerschaert, Mark Marvin
8 Petras, Ivo
7 Owolabi, Kolade Matthew
7 Sun, Zhizhong
6 Avazzadeh, Zakieh
6 Capała, Karol
6 Deng, Weihua
6 Heydari, Mohammad Hossien
6 Luchko, Yurii F.
6 Pagnini, Gianni
6 Wang, Hong
5 Bäumer, Boris
5 Chen, Wen
5 Kaminski Lenzi, Ervin
5 Li, Zhiyuan
5 Luchko, Yuri
5 Pavlyukevich, Ilya
5 Yamamoto, Masahiro
5 Zeng, Fanhai
4 Anh, Vo V.
4 Dehghan Takht Fooladi, Mehdi
4 Gorenflo, Rudolf
4 Liang, Xiao
4 Magdziarz, Marcin
4 Manna, Utpal
4 Sankaranarayanan, Harish
4 Sierociuk, Dominik
4 Sokolov, Igor’ Mikhaĭlovich
4 Stojanović, Mirjana N.
4 Toaldo, Bruno
4 Wyłomańska, Agnieszka
4 Zaky, Mahmoud A.
3 Abbaszadeh, Mostafa
3 Bazhlekova, Emilia G.
3 Benhadj Braiek, Naceur
3 Bouafoura, Mohamed Karim
3 Brzeźniak, Zdzisław
3 Burrage, Kevin
3 Cao, Wanrong
3 Cui, Mingrong
3 Didier, Gustavo
3 Ding, Hengfei
3 dos Santos, Maike A. F.
3 Doungmo Goufo, Emile Franc
3 Duan, Jinqiao
3 Gajda, Janusz
3 Gao, Guanghua
3 Garrappa, Roberto
3 Hanert, Emmanuel
3 Hosseininia, M.
3 Janno, Jaan
3 Javidi, Mohammad
3 Khaliq, Abdul Q. M.
3 Kochubeĭ, Anatoliĭ Naumovych
3 Kovács, Mihály
3 Lapin, Aleksandr Vasil’evich
3 Leonenko, Nikolai N.
3 Liu, Jijun
3 Liu, Xuan
3 Macias, Michal
3 Malesza, Wiktor
3 Podlubny, Igor
3 Qu, Haidong
3 Sabzikar, Farzad
3 Scheffler, Hans-Peter
3 Sin, Chung-Sik
3 Skovranek, Tomas
3 Tang, Yifa
3 Turner, Ian William
3 Wei, LeiLei
3 Zeng, Minli
3 Zhang, Guofeng
2 Asad, Jihad H.
2 Babolian, Esmail
2 Bazhlekov, Ivan B.
2 Bhrawy, Ali Hassan
2 Boniece, B. Cooper
2 Cao, Jianxiong
2 Chen, An
2 Chen, Changming
2 Cheng, Xiaoliang
2 Chevyrev, Ilya
2 Coronel-Escamilla, Antonio
2 Daftardar-Gejji, Varsha
2 Doha, Eid H.
2 Du, Ruilian
2 Durastante, Fabio
2 Esmaeili, Shahrokh
2 Ezz-Eldien, Samer S.
...and 568 more Authors
all top 5

Cited in 121 Serials

37 Fractional Calculus & Applied Analysis
28 Computers & Mathematics with Applications
23 Journal of Computational Physics
15 Chaos, Solitons and Fractals
14 Applied Mathematics and Computation
14 Journal of Computational and Applied Mathematics
13 Journal of Statistical Mechanics: Theory and Experiment
12 Journal of Statistical Physics
12 Communications in Nonlinear Science and Numerical Simulation
10 Numerical Algorithms
10 Abstract and Applied Analysis
10 Journal of Physics A: Mathematical and Theoretical
9 Applied Mathematical Modelling
9 Advances in Difference Equations
8 Journal of Mathematical Analysis and Applications
8 Applied Numerical Mathematics
8 Computational and Applied Mathematics
8 Chaos
7 Journal of Mathematical Physics
7 Physica A
7 Advances in Mathematical Physics
5 Numerical Methods for Partial Differential Equations
5 Nonlinear Dynamics
5 Mathematical Modelling of Natural Phenomena
4 Signal Processing
4 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
4 Mathematical Problems in Engineering
4 Multiscale Modeling & Simulation
4 Journal of Theoretical Biology
4 Mathematics
3 Inverse Problems
3 Mathematics of Computation
3 Journal of Differential Equations
3 Journal of Scientific Computing
3 SIAM Journal on Scientific Computing
3 Journal of Inverse and Ill-Posed Problems
3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
3 International Journal of Differential Equations
2 Calcolo
2 Journal of Functional Analysis
2 SIAM Journal on Numerical Analysis
2 Applied Mathematics Letters
2 International Journal of Computer Mathematics
2 SIAM Journal on Applied Mathematics
2 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
2 Turkish Journal of Mathematics
2 Complexity
2 Engineering Analysis with Boundary Elements
2 Journal of Mathematical Chemistry
2 Lobachevskii Journal of Mathematics
2 Journal of Applied Mathematics and Computing
2 Boundary Value Problems
2 Asian Journal of Control
2 Evolution Equations and Control Theory
2 Journal of Mathematics
2 International Journal of Applied and Computational Mathematics
2 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Modern Physics Letters B
1 Computers and Fluids
1 Communications in Mathematical Physics
1 Computer Methods in Applied Mechanics and Engineering
1 International Journal of Systems Science
1 International Journal of Theoretical Physics
1 Journal of the Franklin Institute
1 Mathematical Methods in the Applied Sciences
1 Nonlinearity
1 Physics Letters. A
1 Theoretical and Mathematical Physics
1 ZAMP. Zeitschrift für angewandte Mathematik und Physik
1 The Annals of Probability
1 Integral Equations and Operator Theory
1 Mathematics and Computers in Simulation
1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
1 Numerical Functional Analysis and Optimization
1 Proceedings of the American Mathematical Society
1 Quarterly of Applied Mathematics
1 Optimal Control Applications & Methods
1 Statistics & Probability Letters
1 Circuits, Systems, and Signal Processing
1 Bulletin of the Iranian Mathematical Society
1 Probability Theory and Related Fields
1 Journal of Economic Dynamics & Control
1 Annals of Physics
1 Automation and Remote Control
1 Communications in Statistics. Theory and Methods
1 Stochastic Processes and their Applications
1 Journal of Nonlinear Science
1 Cybernetics and Systems Analysis
1 Potential Analysis
1 Theory of Probability and Mathematical Statistics
1 Applied and Computational Harmonic Analysis
1 Journal of Mathematical Sciences (New York)
1 Russian Journal of Numerical Analysis and Mathematical Modelling
1 Journal of Vibration and Control
1 Taiwanese Journal of Mathematics
1 Discrete Dynamics in Nature and Society
1 International Journal of Nonlinear Sciences and Numerical Simulation
1 Nonlinear Analysis. Real World Applications
1 Mathematical Modelling and Analysis
1 Quantitative Finance
...and 21 more Serials
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Cited in 37 Fields

241 Partial differential equations (35-XX)
198 Numerical analysis (65-XX)
103 Probability theory and stochastic processes (60-XX)
91 Real functions (26-XX)
75 Ordinary differential equations (34-XX)
68 Statistical mechanics, structure of matter (82-XX)
31 Integral equations (45-XX)
27 Special functions (33-XX)
20 Fluid mechanics (76-XX)
16 Biology and other natural sciences (92-XX)
13 Mechanics of deformable solids (74-XX)
10 Integral transforms, operational calculus (44-XX)
10 Systems theory; control (93-XX)
10 Information and communication theory, circuits (94-XX)
9 Dynamical systems and ergodic theory (37-XX)
9 Statistics (62-XX)
9 Quantum theory (81-XX)
7 Calculus of variations and optimal control; optimization (49-XX)
6 Functional analysis (46-XX)
6 Operator theory (47-XX)
6 Computer science (68-XX)
6 Mechanics of particles and systems (70-XX)
6 Geophysics (86-XX)
6 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
5 Approximations and expansions (41-XX)
5 Classical thermodynamics, heat transfer (80-XX)
4 Linear and multilinear algebra; matrix theory (15-XX)
4 Optics, electromagnetic theory (78-XX)
3 Measure and integration (28-XX)
3 Difference and functional equations (39-XX)
2 Potential theory (31-XX)
2 Global analysis, analysis on manifolds (58-XX)
1 History and biography (01-XX)
1 Functions of a complex variable (30-XX)
1 Sequences, series, summability (40-XX)
1 Harmonic analysis on Euclidean spaces (42-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year