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Author ID: hanyga.andrzej Recent zbMATH articles by "Hanyga, Andrzej"
Published as: Hanyga, Andrzej; Hanyga, A.
External Links: ORCID
Documents Indexed: 63 Publications since 1974, including 1 Book
Co-Authors: 6 Co-Authors with 32 Joint Publications
124 Co-Co-Authors

Publications by Year

Citations contained in zbMATH Open

50 Publications have been cited 428 times in 296 Documents Cited by Year
Multidimensional solutions of time-fractional diffusion-wave equations. Zbl 1153.35347
Hanyga, Andrzej
56
2002
Multi-dimensional solutions of space-time-fractional diffusion equations. Zbl 0999.60035
Hanyga, Andrzej
44
2002
Wave propagation in media with singular memory. Zbl 1011.74033
Hanyga, A.
35
2001
Multidimensional solutions of space-fractional diffusion equations. Zbl 0999.60034
Hanyga, Andrzej
24
2001
Wave field simulation for heterogeneous porous media with singular memory drag force. Zbl 1329.76338
Lu, Jian-Fei; Hanyga, Andrzej
22
2005
Fundamental solution for a layered porous half space subject to a vertical point force or a point fluid source. Zbl 1109.74323
Lu, Jianfei; Hanyga, A.
22
2005
Nonlinear Hamiltonian equations with fractional damping. Zbl 0986.34055
Seredyńska, M.; Hanyga, A.
20
2000
Fractional-order relaxation laws in nonlinear viscoelasticity. Zbl 1160.74330
Hanyga, Andrzej
16
2007
Relations between relaxation modulus and creep compliance in anisotropic linear viscoelasticity. Zbl 1157.74009
Hanyga, Andrzej; Seredyńska, Małgorzata
13
2007
On a mathematical framework for the constitutive equations of anisotropic dielectric relaxation. Zbl 1151.78002
Hanyga, A.; Seredyńska, M.
13
2008
A comment on a controversial issue: a generalized fractional derivative cannot have a regular kernel. Zbl 1437.26010
Hanyga, Andrzej
12
2020
Mathematical theory of nonlinear elasticity. Transl. ed.: R. W. Ogden. Zbl 0561.73011
Hanyga, A.
10
1985
Nonlinear differential equations with fractional damping with applications to the 1dof and 2dof pendulum. Zbl 1069.70012
Seredyńska, M.; Hanyga, A.
9
2005
Dispersion and attenuation for an acoustic wave equation consistent with viscoelasticity. Zbl 1360.76252
Hanyga, A.
8
2014
Physically acceptable viscoelastic models. Zbl 1074.74016
Hanyga, Andrzej
8
2005
Asymptotic ray theory in poro- and viscoelastic media. Zbl 1067.74528
Hanyga, Andrzej; Seredyńska, Małgorzata
8
1999
Wave field simulation for heterogeneous transversely isotropic porous media with the JKD dynamic permeability. Zbl 1138.74326
Hanyga, A.; Lu, Jianfei
8
2005
Asymptotic and exact fundamental solutions in hereditary media with singular memory kernels. Zbl 1069.74010
Hanyga, Andrzej; Seredyńska, M.
7
2002
Anomalous diffusion without scale invariance. Zbl 1114.35020
Hanyga, A.
7
2007
Wave propagation in linear viscoelastic media with completely monotonic relaxation moduli. Zbl 1454.74025
Hanyga, Andrzej
7
2013
Well-posedness and regularity for a class of linear thermo-viscoelastic materials. Zbl 1041.74034
Hanyga, A.
5
2003
Linear dynamic model for porous media saturated by two immiscible fluids. Zbl 1165.74318
Lu, Jianfei; Hanyga, Andrzej
5
2005
Asymptotic estimates of viscoelastic Green’s functions near the wavefront. Zbl 1331.74041
Hanyga, Andrzej
5
2015
An anisotropic Cole-Cole model of seismic attenuation. Zbl 1360.86018
Hanyga, Andrzej
4
2003
Spatially fractional-order viscoelasticity, non-locality, and a new kind of anisotropy. Zbl 1276.74015
Hanyga, A.; Seredyńska, M.
4
2012
Dynamic interaction between multiple cracks and a circular hole swept by SH waves. Zbl 1179.74118
Lu, Jianfei; Hanyga, Andrzej
4
2004
Two-fluid porous flow in a single temperature approximation. Zbl 1211.76111
Hanyga, Andrzej
4
2004
Thermal effects in immiscible two-fluid porous flow. Zbl 1211.76112
Hanyga, Andrzej; Jianfei, Lu
4
2004
Relaxation, dispersion, attenuation, and finite propagation speed in viscoelastic media. Zbl 1309.74018
Seredyńska, M.; Hanyga, Andrzej
4
2010
Wave propagation in anisotropic viscoelasticity. Zbl 1330.74041
Hanyga, Andrzej
4
2016
Multiple-integral viscoelastic constitutive equations. Zbl 1200.74019
Hanyga, Andrzej; Seredyńska, M.
4
2007
Hamiltonian and Lagrangian theory of viscoelasticity. Zbl 1170.76321
Hanyga, A.; Seredyńska, M.
3
2008
Thermodynamics, convex extension and the Cauchy problem for systems of conservation laws. Zbl 0353.73007
Hanyga, A.
3
1976
A new anisotropic fractional model of diffusion suitable for applications of diffusion tensor imaging in biological tissues. Zbl 1371.92073
Hanyga, Andrzej; Magin, Richard L.
3
2014
A nonlinear differential equation of fractional order with chaotic properties. Zbl 1062.34002
Seredyńska, M.; Hanyga, A.
2
2004
Canonical functions of asymptotic diffraction theory associated with symplectic singularities. Zbl 0903.41018
Hanyga, Andrzej
2
1997
Diffraction of pulses in the vicinity of simple caustics and caustic cusps. Zbl 0751.35048
Hanyga, Andrzej; Seredyńska, Małgorzata
2
1991
Existence and uniqueness for linear hyperbolic systems with unbounded coefficients. Zbl 0698.35094
Hanyga, Andrzej; Fabrizio, Mauro
2
1989
Fractional diffusion and wave equations. Zbl 1065.35005
Hanyga, Andrzej
2
2002
On solutions of matrix-valued convolution equations, CM-derivatives and their applications in linear and nonlinear anisotropic viscoelasticity. Zbl 1415.74014
Hanyga, Andrzej
2
2019
Cones of material response functions in one-dimensional and anisotropic linear viscoelasticity. Zbl 1195.74024
Seredyńska, M.; Hanyga, A.
2
2009
Dynamic ray tracing on Lagrangian manifolds. Zbl 0587.73043
Hanyga, Andrzej
1
1984
Asymptotic diffraction theory and its application to edge-and-vertex diffraction. Zbl 0925.35153
Hanyga, A.
1
1996
Positivity of Green’s functions for a class of partial integro-differential equations including viscoelasticity. Zbl 1231.45019
Hanyga, Andrzej; Seredyńska, Małgorzata
1
2010
A scalar model of viscoelasticity with singular memory. Zbl 1049.35068
Seredyńska, M.; Hanyga, A.
1
2002
Long-range asymptotics of a step signal propagating in a hereditary viscoelastic medium. Zbl 1116.74024
Hanyga, Andrzej
1
2007
The complementary energy principle of nonlinear elasticity. Zbl 0531.73010
Hanyga, Andrzej; Seredyńska, Małgorzata
1
1983
A rigorous construction of maximum recoverable work. Zbl 1157.74008
Hanyga, A.; Seredyńska, M.
1
2008
Numerical solutions of a poro-acoustic wave equation with generalized fractional integral operators. Zbl 0990.74079
Hanyga, Andrzej; Carcione, José M.
1
2000
On wave propagation in viscoelastic media with concave creep compliance. Zbl 1358.74023
Hanyga, Andrzej
1
2014
A comment on a controversial issue: a generalized fractional derivative cannot have a regular kernel. Zbl 1437.26010
Hanyga, Andrzej
12
2020
On solutions of matrix-valued convolution equations, CM-derivatives and their applications in linear and nonlinear anisotropic viscoelasticity. Zbl 1415.74014
Hanyga, Andrzej
2
2019
Wave propagation in anisotropic viscoelasticity. Zbl 1330.74041
Hanyga, Andrzej
4
2016
Asymptotic estimates of viscoelastic Green’s functions near the wavefront. Zbl 1331.74041
Hanyga, Andrzej
5
2015
Dispersion and attenuation for an acoustic wave equation consistent with viscoelasticity. Zbl 1360.76252
Hanyga, A.
8
2014
A new anisotropic fractional model of diffusion suitable for applications of diffusion tensor imaging in biological tissues. Zbl 1371.92073
Hanyga, Andrzej; Magin, Richard L.
3
2014
On wave propagation in viscoelastic media with concave creep compliance. Zbl 1358.74023
Hanyga, Andrzej
1
2014
Wave propagation in linear viscoelastic media with completely monotonic relaxation moduli. Zbl 1454.74025
Hanyga, Andrzej
7
2013
Spatially fractional-order viscoelasticity, non-locality, and a new kind of anisotropy. Zbl 1276.74015
Hanyga, A.; Seredyńska, M.
4
2012
Relaxation, dispersion, attenuation, and finite propagation speed in viscoelastic media. Zbl 1309.74018
Seredyńska, M.; Hanyga, Andrzej
4
2010
Positivity of Green’s functions for a class of partial integro-differential equations including viscoelasticity. Zbl 1231.45019
Hanyga, Andrzej; Seredyńska, Małgorzata
1
2010
Cones of material response functions in one-dimensional and anisotropic linear viscoelasticity. Zbl 1195.74024
Seredyńska, M.; Hanyga, A.
2
2009
On a mathematical framework for the constitutive equations of anisotropic dielectric relaxation. Zbl 1151.78002
Hanyga, A.; Seredyńska, M.
13
2008
Hamiltonian and Lagrangian theory of viscoelasticity. Zbl 1170.76321
Hanyga, A.; Seredyńska, M.
3
2008
A rigorous construction of maximum recoverable work. Zbl 1157.74008
Hanyga, A.; Seredyńska, M.
1
2008
Fractional-order relaxation laws in nonlinear viscoelasticity. Zbl 1160.74330
Hanyga, Andrzej
16
2007
Relations between relaxation modulus and creep compliance in anisotropic linear viscoelasticity. Zbl 1157.74009
Hanyga, Andrzej; Seredyńska, Małgorzata
13
2007
Anomalous diffusion without scale invariance. Zbl 1114.35020
Hanyga, A.
7
2007
Multiple-integral viscoelastic constitutive equations. Zbl 1200.74019
Hanyga, Andrzej; Seredyńska, M.
4
2007
Long-range asymptotics of a step signal propagating in a hereditary viscoelastic medium. Zbl 1116.74024
Hanyga, Andrzej
1
2007
Wave field simulation for heterogeneous porous media with singular memory drag force. Zbl 1329.76338
Lu, Jian-Fei; Hanyga, Andrzej
22
2005
Fundamental solution for a layered porous half space subject to a vertical point force or a point fluid source. Zbl 1109.74323
Lu, Jianfei; Hanyga, A.
22
2005
Nonlinear differential equations with fractional damping with applications to the 1dof and 2dof pendulum. Zbl 1069.70012
Seredyńska, M.; Hanyga, A.
9
2005
Physically acceptable viscoelastic models. Zbl 1074.74016
Hanyga, Andrzej
8
2005
Wave field simulation for heterogeneous transversely isotropic porous media with the JKD dynamic permeability. Zbl 1138.74326
Hanyga, A.; Lu, Jianfei
8
2005
Linear dynamic model for porous media saturated by two immiscible fluids. Zbl 1165.74318
Lu, Jianfei; Hanyga, Andrzej
5
2005
Dynamic interaction between multiple cracks and a circular hole swept by SH waves. Zbl 1179.74118
Lu, Jianfei; Hanyga, Andrzej
4
2004
Two-fluid porous flow in a single temperature approximation. Zbl 1211.76111
Hanyga, Andrzej
4
2004
Thermal effects in immiscible two-fluid porous flow. Zbl 1211.76112
Hanyga, Andrzej; Jianfei, Lu
4
2004
A nonlinear differential equation of fractional order with chaotic properties. Zbl 1062.34002
Seredyńska, M.; Hanyga, A.
2
2004
Well-posedness and regularity for a class of linear thermo-viscoelastic materials. Zbl 1041.74034
Hanyga, A.
5
2003
An anisotropic Cole-Cole model of seismic attenuation. Zbl 1360.86018
Hanyga, Andrzej
4
2003
Multidimensional solutions of time-fractional diffusion-wave equations. Zbl 1153.35347
Hanyga, Andrzej
56
2002
Multi-dimensional solutions of space-time-fractional diffusion equations. Zbl 0999.60035
Hanyga, Andrzej
44
2002
Asymptotic and exact fundamental solutions in hereditary media with singular memory kernels. Zbl 1069.74010
Hanyga, Andrzej; Seredyńska, M.
7
2002
Fractional diffusion and wave equations. Zbl 1065.35005
Hanyga, Andrzej
2
2002
A scalar model of viscoelasticity with singular memory. Zbl 1049.35068
Seredyńska, M.; Hanyga, A.
1
2002
Wave propagation in media with singular memory. Zbl 1011.74033
Hanyga, A.
35
2001
Multidimensional solutions of space-fractional diffusion equations. Zbl 0999.60034
Hanyga, Andrzej
24
2001
Nonlinear Hamiltonian equations with fractional damping. Zbl 0986.34055
Seredyńska, M.; Hanyga, A.
20
2000
Numerical solutions of a poro-acoustic wave equation with generalized fractional integral operators. Zbl 0990.74079
Hanyga, Andrzej; Carcione, José M.
1
2000
Asymptotic ray theory in poro- and viscoelastic media. Zbl 1067.74528
Hanyga, Andrzej; Seredyńska, Małgorzata
8
1999
Canonical functions of asymptotic diffraction theory associated with symplectic singularities. Zbl 0903.41018
Hanyga, Andrzej
2
1997
Asymptotic diffraction theory and its application to edge-and-vertex diffraction. Zbl 0925.35153
Hanyga, A.
1
1996
Diffraction of pulses in the vicinity of simple caustics and caustic cusps. Zbl 0751.35048
Hanyga, Andrzej; Seredyńska, Małgorzata
2
1991
Existence and uniqueness for linear hyperbolic systems with unbounded coefficients. Zbl 0698.35094
Hanyga, Andrzej; Fabrizio, Mauro
2
1989
Mathematical theory of nonlinear elasticity. Transl. ed.: R. W. Ogden. Zbl 0561.73011
Hanyga, A.
10
1985
Dynamic ray tracing on Lagrangian manifolds. Zbl 0587.73043
Hanyga, Andrzej
1
1984
The complementary energy principle of nonlinear elasticity. Zbl 0531.73010
Hanyga, Andrzej; Seredyńska, Małgorzata
1
1983
Thermodynamics, convex extension and the Cauchy problem for systems of conservation laws. Zbl 0353.73007
Hanyga, A.
3
1976
all top 5

Cited by 444 Authors

23 Hanyga, Andrzej
12 Mainardi, Francesco
11 Seredyńska, Małgorzata
9 Giusti, Andrea
9 Zorica, Dusan
7 Atanackovic, Teodor M.
7 Lu, Jianfei
7 Povstenko, Yuriy Z.
6 Jumarie, Guy M.
6 Konjik, Sanja
6 Lombard, Bruno
6 Luchko, Yuri
6 Pilipović, Stevan
5 Ai, Zhiyong
5 Colombaro, Ivano
5 Garrappa, Roberto
5 Odibat, Zaid M.
5 Oparnica, Ljubica
5 Wang, Jianhua
4 Chiavassa, Guillaume
4 Dineva, Petia S.
4 Ferreira, Milton
4 Janev, Marko
4 Pagnini, Gianni
4 Pogány, Tibor K.
4 Vieira, Nelson
3 Bazhlekova, Emilia G.
3 Birk, Carolin
3 de Oliveira, Edmundo Capelas
3 Górska, Katarzyna
3 Heibig, Arnaud
3 Horzela, Andrzej
3 Kaminski Lenzi, Ervin
3 Kirane, Mokhtar
3 Kochubeĭ, Anatoliĭ Naumovych
3 Momani, Shaher M.
3 Nguyen Huy Tuan
3 Rangelov, Tsviatko V.
3 Song, Chongmin
3 Tatar, Nasser-eddine
3 Xu, Bin
2 Agrawal, Om Prakash
2 Alvarez, Edgardo
2 Ansari, Alireza
2 Boyadjiev, Lyubomir I.
2 Burrage, Kevin
2 Carillo, Sandra
2 Chechkin, Aleksei V.
2 Ciarlet, Philippe Gaston
2 Conte, Dajana
2 Cruz-González, Oscar L.
2 Cuesta, Eduardo
2 da Silva, José Luís
2 da Silva, Luciano R.
2 Darwich, Mohamad
2 de Andrade, Bruno
2 Deng, Jingwei
2 Diethelm, Kai
2 Drăgănescu, Gh. E.
2 Fernández-Anaya, Guillermo
2 Garra, Roberto
2 Gong, Wenbo
2 Gross, Dietmar
2 Haeri, Mohammad
2 Ju, Yang
2 Kondrat’yev, Yuriĭ Grygorovych
2 Kulikovskiĭ, Andreĭ Gennad’evich
2 Laskri, Yamina
2 Lefeuve-Mesgouez, Gaëlle
2 Lemoine, Grady I.
2 Lenzi, Marcelo K.
2 Li, Yuping
2 Lin, Ching-Lung
2 Litak, Grzegorz
2 Lizama, Carlos
2 Lopushans’kyi, Andriy Olegovich
2 Loreti, Paola
2 Machado, José António Tenreiro
2 Manolis, George D.
2 Martínez-Fuentes, Oscar
2 Maugin, Gérard A.
2 Mesgouez, Arnaud
2 Muller, Ralf
2 Muñoz-Vázquez, Aldo-Jonathan
2 Mura, Antonio
2 Nakamura, Gen
2 Ou, M. Yvonne
2 Palade, Liviu-Iulian
2 Paternoster, Beatrice
2 Penta, Raimondo
2 Plohr, Bradley J.
2 Ramírez-Torres, Ariel
2 Ribeiro, Haroldo V.
2 Rodrigues, Maria Manuela
2 Rodríguez-Ramos, Reinaldo
2 Sforza, Daniela
2 Sharp, David H.
2 Srivastava, Hari Mohan
2 Stanislavsky, Aleksander A.
2 Sun, Zhongkui
...and 344 more Authors
all top 5

Cited in 118 Serials

17 Fractional Calculus & Applied Analysis
14 Journal of Computational Physics
9 International Journal of Engineering Science
9 Applied Mathematics and Computation
9 Applied Mathematical Modelling
8 Computers & Mathematics with Applications
8 Journal of Mathematical Analysis and Applications
8 Communications in Nonlinear Science and Numerical Simulation
7 Acta Mechanica
7 Journal of Mathematical Physics
7 Wave Motion
7 Chaos, Solitons and Fractals
6 Computational Mechanics
5 ZAMP. Zeitschrift für angewandte Mathematik und Physik
5 Meccanica
5 Journal of Elasticity
5 Continuum Mechanics and Thermodynamics
5 Engineering Analysis with Boundary Elements
5 Nonlinear Dynamics
4 Journal of Computational and Applied Mathematics
4 Journal of Scientific Computing
4 Computational and Applied Mathematics
4 Integral Transforms and Special Functions
4 Journal of Computational Acoustics
3 Applied Numerical Mathematics
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Chaos
3 Nonlinear Analysis. Real World Applications
3 Journal of Applied Mathematics and Computing
3 International Journal of Differential Equations
2 International Journal for Numerical and Analytical Methods in Geomechanics
2 International Journal of Solids and Structures
2 Journal of the Franklin Institute
2 Journal of Statistical Physics
2 Physica A
2 Integral Equations and Operator Theory
2 Journal of Differential Equations
2 Mathematics and Computers in Simulation
2 Quarterly of Applied Mathematics
2 Rendiconti del Circolo Matemàtico di Palermo. Serie II
2 Advances in Applied Mathematics
2 Applied Mathematics Letters
2 Numerical Algorithms
2 SIAM Journal on Scientific Computing
2 Turkish Journal of Mathematics
2 Journal of Vibration and Control
2 Bulletin of the Malaysian Mathematical Sciences Society. Second Series
2 Advances in Difference Equations
2 Mathematical Modelling of Natural Phenomena
2 Advances in Mathematical Physics
2 Mathematics
2 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
1 Applicable Analysis
1 Archives of Mechanics
1 Archive for Rational Mechanics and Analysis
1 Computer Methods in Applied Mechanics and Engineering
1 Journal of Engineering Mathematics
1 Journal of Fluid Mechanics
1 Journal of Mathematical Biology
1 Journal of the Mechanics and Physics of Solids
1 Mathematics of Computation
1 Prikladnaya Matematika i Mekhanika
1 Applied Mathematics and Optimization
1 Mathematische Annalen
1 Mechanics Research Communications
1 Siberian Mathematical Journal
1 Applied Mathematics and Mechanics. (English Edition)
1 Physica D
1 Mathematical and Computer Modelling
1 MCSS. Mathematics of Control, Signals, and Systems
1 Communications in Partial Differential Equations
1 Linear Algebra and its Applications
1 SIAM Journal on Applied Mathematics
1 Archive of Applied Mechanics
1 Experimental Mathematics
1 The Journal of Analysis
1 Topological Methods in Nonlinear Analysis
1 Theory of Probability and Mathematical Statistics
1 International Applied Mechanics
1 International Journal of Numerical Methods for Heat & Fluid Flow
1 Fractals
1 Advances in Applied Clifford Algebras
1 Bulletin des Sciences Mathématiques
1 Complexity
1 Journal of Difference Equations and Applications
1 Discrete and Continuous Dynamical Systems
1 The Journal of Fourier Analysis and Applications
1 Abstract and Applied Analysis
1 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
1 Proceedings of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
1 European Journal of Mechanics. A. Solids
1 Analysis (München)
1 Nonlinear Analysis. Modelling and Control
1 Discrete and Continuous Dynamical Systems. Series B
1 Computational Methods in Applied Mathematics
1 Stochastics and Dynamics
1 International Journal of Computational Methods
1 International Journal of Geometric Methods in Modern Physics
1 International Journal of Numerical Analysis and Modeling
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
...and 18 more Serials
all top 5

Cited in 35 Fields

120 Partial differential equations (35-XX)
95 Mechanics of deformable solids (74-XX)
88 Real functions (26-XX)
65 Numerical analysis (65-XX)
45 Ordinary differential equations (34-XX)
45 Fluid mechanics (76-XX)
27 Integral equations (45-XX)
21 Special functions (33-XX)
17 Probability theory and stochastic processes (60-XX)
13 Integral transforms, operational calculus (44-XX)
11 Statistical mechanics, structure of matter (82-XX)
9 Mechanics of particles and systems (70-XX)
9 Geophysics (86-XX)
8 Optics, electromagnetic theory (78-XX)
8 Systems theory; control (93-XX)
7 Operator theory (47-XX)
6 Harmonic analysis on Euclidean spaces (42-XX)
6 Classical thermodynamics, heat transfer (80-XX)
6 Biology and other natural sciences (92-XX)
4 Dynamical systems and ergodic theory (37-XX)
4 Sequences, series, summability (40-XX)
3 Calculus of variations and optimal control; optimization (49-XX)
3 Quantum theory (81-XX)
3 Information and communication theory, circuits (94-XX)
2 Difference and functional equations (39-XX)
2 Functional analysis (46-XX)
2 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
1 History and biography (01-XX)
1 Functions of a complex variable (30-XX)
1 Potential theory (31-XX)
1 Approximations and expansions (41-XX)
1 Abstract harmonic analysis (43-XX)
1 Differential geometry (53-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Relativity and gravitational theory (83-XX)

Citations by Year