## Mathematical Methods in the Applied Sciences

 Short Title: Math. Methods Appl. Sci. Publisher: Wiley (Wiley-Blackwell), Chichester ISSN: 0170-4214; 1099-1476/e Online: http://onlinelibrary.wiley.com/journal/10.1002/(ISSN)1099-1476/issues Comments: Indexed cover-to-cover
 Documents Indexed: 7,197 Publications (since 1979) References Indexed: 4,126 Publications with 92,318 References.
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### Authors

 47 Băleanu, Dumitru I. 27 Simos, Theodore E. 27 Srivastava, Hari Mohan 25 Kirane, Mokhtar 24 Kravchenko, Vladislav V. 22 Zajączkowski, Wojciech M. 21 Qian, Tao 21 Tsitouras, Charalampos 20 Dehghan Takht Fooladi, Mehdi 20 Nguyen Huy Tuan 20 Wang, Jinrong 19 Boulaaras, Salah Mahmoud 19 Wendland, Wolfgang L. 18 Stephan, Ernst Peter 18 Wazwaz, Abdul-Majid Abdul-Rahman 17 Al-saedi, Ahmed Eid Salem 17 Qin, Yuming 17 Sommen, Franciscus 16 Guo, Boling 16 Morais, João Pedro 16 Samet, Bessem 16 Shah, Kamal 16 Tang, Xianhua 16 Werner, Peter 16 Zhou, Yong 15 Feireisl, Eduard 15 Gürlebeck, Klaus 15 Kress, Rainer 15 Leugering, Günter 15 Mu, Chunlai 15 Natroshvili, David 15 Nicaise, Serge 15 Sprekels, Jürgen 14 Akgül, Ali 14 Banasiak, Jacek 14 Fan, Jishan 14 O’Regan, Donal 14 Straughan, Brian 13 Bory Reyes, Juan 13 Sooppy Nisar, Kottakkaran 13 Stević, Stevo 13 Yin, Jingxue 12 Agarwal, Ravi P. 12 Ahmad, Bashir 12 Bruzón, Maria Santos 12 Cortés López, Juan Carlos 12 Efendiev, Messoud 12 Gilbert, Robert Pertsch 12 Illner, Reinhard 12 Jleli, Mohamed Boussairi 12 Kraußhar, Rolf Sören 12 Messaoudi, Salim A. 12 Stratis, Ioannis G. 12 Wang, Shu 12 Witsch, Karl Josef 12 Xu, Yongzhi S. 11 Cerejeiras, Paula 11 Gandarias Núñez, Maria Luz 11 Kumam, Poom 11 Philippin, Gérard A. 11 Picard, Rainer H. 11 von Wolfersdorf, Lothar 11 Zada, Akbar 10 Cao, Jinde 10 Chattopadhyay, Joydev 10 Constales, Denis 10 Cuevas, Claudio 10 Dassios, George 10 De Schepper, Hennie 10 Debbouche, Amar 10 Freeden, Willi 10 Fuchs, Martin 10 Hayat, Tasawar 10 Kang, Jum-Ran 10 Kou, Kit-Ian 10 Łada, Andrzej 10 Li, Tatsien 10 Liu, Wenbin 10 Quintanilla de Latorre, Ramón 10 Razzaghi, Mohsen 10 Reissig, Michael 10 Tan, Zhong 10 Teng, Zhi-dong 10 Torres, Delfim Fernando Marado 10 Weck, Norbert 9 Abreu-Blaya, Ricardo 9 Athanasiadis, Christodoulos E. 9 Brackx, Fred F. 9 Constanda, Christian 9 Fabrizio, Mauro 9 Feng, Baowei 9 Gao, Hongjun 9 Gómez-Aguilar, José Francisco 9 Hoffmann, Karl-Heinz 9 Kähler, Uwe 9 Kirsch, Andreas 9 Li, Yeping 9 Lubuma, Jean Mbaro-Saman 9 Łukaszewicz, Grzegorz 9 Meister, Erhard V. ...and 9,176 more Authors
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### Fields

 3,999 Partial differential equations (35-XX) 1,211 Ordinary differential equations (34-XX) 1,119 Fluid mechanics (76-XX) 1,094 Numerical analysis (65-XX) 841 Biology and other natural sciences (92-XX) 734 Mechanics of deformable solids (74-XX) 599 Operator theory (47-XX) 368 Integral equations (45-XX) 346 Dynamical systems and ergodic theory (37-XX) 315 Optics, electromagnetic theory (78-XX) 314 Systems theory; control (93-XX) 310 Real functions (26-XX) 267 Statistical mechanics, structure of matter (82-XX) 266 Calculus of variations and optimal control; optimization (49-XX) 229 Functions of a complex variable (30-XX) 221 Probability theory and stochastic processes (60-XX) 188 Harmonic analysis on Euclidean spaces (42-XX) 177 Classical thermodynamics, heat transfer (80-XX) 161 Approximations and expansions (41-XX) 153 Difference and functional equations (39-XX) 153 Functional analysis (46-XX) 153 Global analysis, analysis on manifolds (58-XX) 140 Special functions (33-XX) 117 Potential theory (31-XX) 101 Computer science (68-XX) 99 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 96 Integral transforms, operational calculus (44-XX) 94 Quantum theory (81-XX) 93 Operations research, mathematical programming (90-XX) 93 Information and communication theory, circuits (94-XX) 86 Linear and multilinear algebra; matrix theory (15-XX) 86 Mechanics of particles and systems (70-XX) 74 Differential geometry (53-XX) 61 Geophysics (86-XX) 60 Statistics (62-XX) 48 Astronomy and astrophysics (85-XX) 40 Combinatorics (05-XX) 39 Number theory (11-XX) 28 General topology (54-XX) 27 Relativity and gravitational theory (83-XX) 26 Topological groups, Lie groups (22-XX) 25 Sequences, series, summability (40-XX) 21 General and overarching topics; collections (00-XX) 18 Several complex variables and analytic spaces (32-XX) 18 Abstract harmonic analysis (43-XX) 16 Nonassociative rings and algebras (17-XX) 16 Measure and integration (28-XX) 11 History and biography (01-XX) 11 Geometry (51-XX) 9 Manifolds and cell complexes (57-XX) 8 Algebraic geometry (14-XX) 8 Algebraic topology (55-XX) 6 Mathematical logic and foundations (03-XX) 6 Field theory and polynomials (12-XX) 6 Group theory and generalizations (20-XX) 4 Order, lattices, ordered algebraic structures (06-XX) 4 Convex and discrete geometry (52-XX) 3 Associative rings and algebras (16-XX) 2 Category theory; homological algebra (18-XX) 2 Mathematics education (97-XX) 1 Commutative algebra (13-XX)

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5,400 Publications have been cited 39,139 times in 28,221 Documents Cited by Year
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Does a volume-filling effect always prevent chemotactic collapse? Zbl 1182.35220
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Existence and uniform decay for a nonlinear viscoelastic equation with strong damping. Zbl 0988.35031
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On the boundary value problem of the biharmonic operator on domains with angular corners. Zbl 0445.35023
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A remark on the regularity of solutions of Maxwell’s equations on Lipschitz domains. Zbl 0699.35028
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Global solutions in a fully parabolic chemotaxis system with singular sensitivity. Zbl 1291.92018
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A local compactness theorem for Maxwell’s equations. Zbl 0432.35032
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Global existence and uniform stability of solutions for a quasilinear viscoelastic problem. Zbl 1121.35015
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General energy decay estimates of Timoshenko systems with frictional versus viscoelastic damping. Zbl 1183.35036
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Thin elastic and periodic plates. Zbl 0543.73073
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On global existence, asymptotic stability and blowing up of solutions for some degenerate nonlinear wave equations of Kirchhoff type with a strong dissipation. Zbl 0878.35081
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Formulation variationnelle espace-temps pour le calcul par potentiel retardé de la diffraction d’une onde acoustique. I. Zbl 0618.35069
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Robust exponential attractors for Cahn-Hilliard type equations with singular potentials. Zbl 1050.35113
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$$(p,q)$$-generalization of Szász-Mirakyan operators. Zbl 1342.41019
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Graded mesh refinement and error estimates for finite element solutions of elliptic boundary value problems in non-smooth domains. Zbl 0838.65109
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Thermoelasticity with second sound – exponential stability in linear and nonlinear 1D. Zbl 1008.74027
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Properties of positive solutions for nonlocal reaction-diffusion problems. Zbl 0990.35066
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On the classical solutions of the initial value problem for the unmodified non-linear Vlasov equation. Zbl 0463.35071
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An abstract semigroup approach to the third-order Moore-Gibson-Thompson partial differential equation arising in high-intensity ultrasound: structural decomposition, spectral analysis, exponential stability. Zbl 1255.35047
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Guided waves by electromagnetic gratings and non-uniqueness examples for the diffraction problem. Zbl 0817.35109
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1994
Reduction of quasilinear equations in cylindrical domains with applications. Zbl 0647.35034
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1988
On the integral equation method for the plane mixed boundary value problem of the Laplacian. Zbl 0461.65082
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1979
On traces for functional spaces related to Maxwell’s equations. II: Hodge decompositions on the boundary of Lipschitz polyhedra and applications. Zbl 0976.46023
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2001
On the rate of decay of solutions to linear viscoelastic equation. Zbl 0947.35020
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2000
Existence of global strong solution to the micropolar fluid system in a bounded domain. Zbl 1078.35096
Yamaguchi, Norikazu
2005
Fractional differential equations with a Caputo derivative with respect to a Kernel function and their applications. Zbl 1384.34010
Almeida, Ricardo; Malinowska, Agnieszka B.; Monteiro, M. Teresa T.
2018
Estimating $$\nabla{} u$$ by div $$u$$ and curl $$u$$. Zbl 0747.31006
von Wahl, Wolf
1992
Semilinear structural damped waves. Zbl 1295.35324
D’Abbicco, M.; Reissig, M.
2014
Weak solutions of the initial value problem for the unmodified non-linear Vlasov equation. Zbl 0556.35022
Horst, E.; Hunze, R.
1984
Exponential attractors for the Cahn-Hilliard equation with dynamic boundary conditions. Zbl 1068.35020
Miranville, A.; Zelik, S.
2005
General decay of energy for a viscoelastic equation with nonlinear damping. Zbl 1161.35319
Han, Xiaosen; Wang, Mingxin
2009
Application of semi-analytic methods for the Fitzhugh-Nagumo equation, which models the transmission of nerve impulses. Zbl 1196.35025
Dehghan, Mehdi; Heris, Jalil Manafian; Saadatmandi, Abbas
2010
A critical exponent in a degenerate parabolic equation. Zbl 1007.35043
Winkler, Michael
2002
On the Vlasov hierarchy. Zbl 0492.35067
Spohn, H.
1981
On a non-stationary Ginzburg-Landau superconductivity model. Zbl 0817.35111
Chen, Zhiming; Hoffmann, K.-H.; Liang, Jin
1993
A new approach toward boundedness in a two-dimensional parabolic chemotaxis system with singular sensitivity. Zbl 1333.35100
Lankeit, Johannes
2016
Global exponential convergence in a delayed almost periodic Nicholson’s blowflies model with discontinuous harvesting. Zbl 1446.65033
Duan, Lian; Fang, Xianwen; Huang, Chuangxia
2018
The rate of convergence of $$q$$-Durrmeyer operators for $$0<q<1$$. Zbl 1154.41008
Gupta, Vijay; Wang, Heping
2008
Ground states for nonlinear fractional Choquard equations with general nonlinearities. Zbl 1344.35168
Shen, Zifei; Gao, Fashun; Yang, Minbo
2016
Global boundedness in a fully parabolic attraction-repulsion chemotaxis model. Zbl 1331.35174
Liu, Dongmei; Tao, Youshan
2015
Global properties of a class of HIV infection models with Beddington-DeAngelis functional response. Zbl 1329.34089
Elaiw, A. M.; Azoz, S. A.
2013
Inverse scattering from an open arc. Zbl 0824.35030
Kress, Rainer
1995
A global existence theorem for the general coagulation-fragmentation equation with unbounded kernels. Zbl 0683.45006
Stewart, I. W.
1989
Solution representations for a wave equation with weak dissipation. Zbl 1036.35119
Wirth, Jens
2004
Nonlinear damped Timoshenko systems with second sound - global existence and exponential stability. Zbl 1156.35321
Messaoudi, Salim A.; Pokojovy, Michael; Said-Houari, Belkacem
2009
Construction of a new family of Bernstein-Kantorovich operators. Zbl 1387.41008
Mohiuddine, S. A.; Acar, Tuncer; Alotaibi, Abdullah
2017
Optimal decay rates for the viscoelastic wave equation. Zbl 1391.35058
2018
The three-dimensional Wigner-Poisson problem: Existence, uniqueness and approximation. Zbl 0739.35080
Brezzi, Franco; Markowich, Peter A.
1991
Finite time blow-up for a nonlinear parabolic equation with a gradient term and applications. Zbl 0858.35067
Souplet, Philippe
1996
An inverse source problem for a two dimensional time fractional diffusion equation with nonlocal boundary conditions. Zbl 1267.80013
Kirane, Mokhtar; Malik, Salman A.; Al-Gwaiz, Mohammed A.
2013
Symmetry group classification of ordinary differential equations: Survey of some results. Zbl 1135.34029
Mahomed, F. M.
2007
The $$8\pi$$-problem for radially symmetric solutions of a chemotaxis model in the plane. Zbl 1105.35131
2006
On the classical solutions of the initial value problem for the unmodified non-linear Vlasov equation. II: Special cases. Zbl 0485.35079
Horst, E.
1982
Modified two-step hybrid methods for the numerical integration of oscillatory problems. Zbl 1383.65074
Monovasilis, T.; Kalogiratou, Z.; Ramos, Higinio; Simos, T. E.
2017
On the asymptotic growth of the solutions of the Vlasov–Poisson system. Zbl 0782.35079
Horst, E.
1993
Stationary solutions of the linearized Boltzmann equation in a half- space. Zbl 0679.35021
Golse, F.; Poupaud, F.
1989
Pedestrian flows and non-classical shocks. Zbl 1108.90016
Colombo, Rinaldo M.; Rosini, Massimiliano D.
2005
Evolutionary generation of high-order, explicit, two-step methods for second-order linear IVPs. Zbl 1387.65066
Simos, T. E.; Tsitouras, Ch.
2017
A predator-prey model with disease in the prey species only. Zbl 1115.92049
Greenhalgh, David; Haque, Mainul
2007
Hermitian Clifford analysis and resolutions. Zbl 1013.30033
2002
Boundary integral equations for mixed Dirichlet, Neumann and transmission problems. Zbl 0694.35048
von Petersdorff, T.
1989
Modeling some real phenomena by fractional differential equations. Zbl 1355.34075
Almeida, Ricardo; Bastos, Nuno R. O.; Monteiro, M. Teresa T.
2016
New decay estimates for linear damped wave equations and its application to nonlinear problem. Zbl 1049.35135
Ikehata, Ryo
2004
The one-dimensional chemotaxis model: global existence and asymptotic profile. Zbl 1081.92005
Hillen, Thomas; Potapov, Alex
2004
On the existence of solutions to the Navier-Stokes-Poisson equations of a two-dimensional compressible flow. Zbl 1107.76065
Zhang, Yinghui; Tan, Zhong
2007
Necessary optimality conditions for fractional action-like integrals of variational calculus with Riemann-Liouville derivatives of order ($$\alpha, \beta$$). Zbl 1177.49036
El-Nabulsi, Rami Ahmad; Torres, Delfim F. M.
2007
An integral equation method for the electromagnetic scattering from cavities. Zbl 0991.78012
Ammari, Habib; Bao, Gang; Wood, Aihua W.
2000
Hyers-Ulam stability of nonlinear differential equations with fractional integrable impulses. Zbl 1387.34026
Zada, Akbar; Ali, Wajid; Farina, Syed
2017
Modelling of dynamic networks of thin thermoelastic beams. Zbl 0773.73060
Lagnese, J. E.; Leugering, G.; Schmidt, E. J. P. G.
1993
On the stabilization of the Timoshenko system by a weak nonlinear dissipation. Zbl 1171.35014
Messaoudi, Salim A.; Mustafa, Muhammad I.
2009
A study of fractional Lotka-Volterra population model using Haar wavelet and Adams-Bashforth-Moulton methods. Zbl 1452.65124
Kumar, Sunil; Kumar, Ranbir; Agarwal, Ravi P.; Samet, Bessem
2020
Functional spaces for Norton-Hoff materials. Zbl 0616.73010
Geymonat, G.; Suquet, P.
1986
Existence theorem and blow-up criterion of the strong solutions to the magneto-micropolar fluid equations. Zbl 1137.76071
Yuan, Jia
2008
Global existence, uniqueness and asymptotic behaviour of solutions of the Wigner-Poisson and Schrödinger-Poisson systems. Zbl 0808.35116
Illner, Reinhard; Zweifel, Paul F.; Lange, Horst
1994
Spectral parameter power series for Sturm-Liouville problems. Zbl 1202.34060
Kravchenko, Vladislav V.; Porter, R. Michael
2010
The threshold of effective damping for semilinear wave equations. Zbl 1316.35201
D’Abbicco, Marcello
2015
Formulation variationnelle pour le calcul de la diffraction d’une onde acoustique par une surface rigide. (Variational formulation for the computation of the diffraction of an acoustic wave by a rigid surface). Zbl 0636.65119
Bamberger, A.; Ha Duong, T.
1986
Global existence for degenerate parabolic equations with a non-local forcing. Zbl 0883.35066
Anderson, Jeffrey R.; Deng, Keng
1997
The finite element method with anisotropic mesh grading for elliptic problems in domains with corners and edges. Zbl 0911.65107
Apel, Thomas; Nicaise, Serge
1998
Shock formation in a chemotaxis model. Zbl 1147.35057
Wang, Zhian; Hillen, Thomas
2008
The blow-up rate for the heat equation with a nonlinear boundary condition. Zbl 0735.35014
Fila, Marek; Quittner, Pavol
1991
Delta and singular delta locus for one-dimensional systems of conservation laws. Zbl 1056.35115
Nedeljkov, Marko
2004
Boundedness of solutions to parabolic-elliptic Keller-Segel systems with signal-dependent sensitivity. Zbl 1329.35011
Fujie, Kentarou; Winkler, Michael; Yokota, Tomomi
2015
An ecoepidemiological model with disease in predator: the ratio-dependent case. Zbl 1126.92050
Haque, Mainul; Venturino, Ezio
2007
Strong solutions to the incompressible magnetohydrodynamic equations. Zbl 1254.35187
Chen, Qing; Tan, Zhong; Wang, Yanjin
2011
General interface problems. I. Zbl 0824.35014
Nicaise, Serge; Sändig, Anna-Margarete
1994
Accelerating Galerkin BEM for linear elasticity using adaptive cross approximation. Zbl 1110.74054
Bebendorf, M.; Grzhibovskis, R.
2006
A fractional order epidemic model for the simulation of outbreaks of influenza A(H1N1). Zbl 1300.92099
González-Parra, Gilberto; Arenas, Abraham J.; Chen-Charpentier, Benito M.
2014
Some applications of a Galerkin-Collocation method for boundary integral equations of the first kind. Zbl 0546.65091
Hsiao, G. C.; Kopp, P.; Wendland, W. L.
1984
Maxwell and Lamé eigenvalues on polyhedra. Zbl 0918.35096
Costabel, Martin; Dauge, Monique
1999
A new analysis for fractional model of regularized long-wave equation arising in ion acoustic plasma waves. Zbl 1388.35212
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
2017
Global non-existence of solutions of a class of wave equations with non-linear damping and source terms. Zbl 1073.35178
Messaoudi, Salim A.; Houari, Belkacem Said
2004
The effect of a thin inclusion of high rigidity in an elastic body. Zbl 0446.73014
Caillerie, D.
1980
Asymptotic dynamics of the one-dimensional attraction-repulsion Keller-Segel model. Zbl 1310.35005
Jin, Hai-Yang; Wang, Zhi-An
2015
On the analysis of vibration equation involving a fractional derivative with Mittag-Leffler law. Zbl 1442.35515
Kumar, Devendra; Singh, Jagdev; Baleanu, Dumitru
2020
Asymptotic behaviour of solutions to some pseudoparabolic equations. Zbl 0869.35057
Karch, Grzegorz
1997
A new family of 7 stages, eighth-order explicit Numerov-type methods. Zbl 1387.65067
Simos, T. E.; Tsitouras, Ch.
2017
Critical extinction and blow-up exponents for fast diffusive $$p$$-Laplacian with sources. Zbl 1151.35310
Yin, Jingxue; Jin, Chunhua
2007
A method based on meshless approach for the numerical solution of the two-space dimensional hyperbolic telegraph equation. Zbl 1250.35015
Dehghan, Mehdi; Salehi, Rezvan
2012
Simpson and Newton type inequalities for convex functions via newly defined quantum integrals. Zbl 1470.26023
Budak, Hüseyin; Erden, Samet; Ali, Muhammad Aamir
2021
Some new Simpson’s type inequalities for coordinated convex functions in quantum calculus. Zbl 1473.26016
Ali, Muhammad Aamir; Budak, Hüseyin; Zhang, Zhiyue; Yildirim, Hüseyin
2021
Results on the existence of Hilfer fractional neutral evolution equations with infinite delay via measures of noncompactness. Zbl 07376617
Kavitha, K.; Vijayakumar, V.; Udhayakumar, R.; Nisar, Kottakkaran Sooppy
2021
A note on approximate controllability of the Hilfer fractional neutral differential inclusions with infinite delay. Zbl 1471.34148
Kavitha, K.; Vijayakumar, V.; Udhayakumar, R.; Sakthivel, N.; Nisar, Kottakkaran Sooppy
2021
A graded mesh refinement approach for boundary layer originated singularly perturbed time-delayed parabolic convection diffusion problems. Zbl 07415641
Kumar, Kamalesh; Podila, Pramod Chakravarthy; Das, Pratibhamoy; Ramos, Higinio
2021
Results concerning to approximate controllability of non-densely defined Sobolev-type Hilfer fractional neutral delay differential system. Zbl 1482.93082
Nisar, Kottakkaran Sooppy; Vijayakumar, V.
2021
General decay of nonlinear viscoelastic Kirchhoff equation with Balakrishnan-Taylor damping, logarithmic nonlinearity and distributed delay terms. Zbl 1471.35043
Choucha, Abdelbaki; Boulaaras, Salah; Ouchenane, Djamel; Beloul, Said
2021
Hermite-Hadamard inequalities for Riemann-Liouville fractional integrals of a convex function with respect to a monotone function. Zbl 1472.26013
Mohammed, Pshtiwan Othman
2021
Existence and uniqueness for $$\varPsi$$-Hilfer fractional differential equation with nonlocal multi-point condition. Zbl 07376689
Borisut, Piyachat; Kumam, Poom; Ahmed, Idris; Jirakitpuwapat, Wachirapong
2021
Dispersive of propagation wave solutions to unidirectional shallow water wave Dullin-Gottwald-Holm system and modulation instability analysis. Zbl 1475.35258
Bilal, M.; Seadawy, Aly R.; Younis, M.; Rizvi, S. T. R.; Zahed, Hanadi
2021
A study of the fractal foam drainage model in a microgravity space. Zbl 1473.35641
Wang, Kang-Le
2021
On systems of fractional differential equations with the $$\psi$$-Caputo derivative and their applications. Zbl 1472.93073
Almeida, Ricardo; Malinowska, Agnieszka Barbara; Odzijewicz, Tatiana
2021
Hermite-Hadamard inequalities in fractional calculus defined using Mittag-Leffler kernels. Zbl 1476.26018
Fernandez, Arran; Mohammed, Pshtiwan
2021
Hermite-Hadamard-type inequalities for interval-valued coordinated convex functions involving generalized fractional integrals. Zbl 1472.26008
Kara, Hasan; Ali, Muhammad Aamir; Budak, Hüseyin
2021
Analysis of the fractional corona virus pandemic via deterministic modeling. Zbl 1472.34097
Tuan, Nguyen Huy; Tri, Vo Viet; Baleanu, Dumitru
2021
Investigation of a system of nonlinear fractional order hybrid differential equations under usual boundary conditions for existence of solution. Zbl 1471.34022
Shah, Anwar; Khan, Rahmat Ali; Khan, Aziz; Khan, Hasib; Gómez-Aguilar, José Francisco
2021
A modified self-adaptive extragradient method for pseudomonotone equilibrium problem in a real Hilbert space with applications. Zbl 1472.90143
Rehman, Habib Ur; Kumam, Poom; Dong, Qiao-Li; Cho, Yeol Je
2021
Classes of operators in fractional calculus: a case study. Zbl 07377140
Fernandez, Arran; Baleanu, Dumitru
2021
Advance in compact structure-preserving manner to the Rosenau-Kawahara model of shallow-water wave. Zbl 1473.65125
Wongsaijai, Ben; Charoensawan, Phakdi; Chaobankoh, Tanadon; Poochinapan, Kanyuta
2021
Solitary and periodic wave solutions of the generalized fourth-order Boussinesq equation via He’s variational methods. Zbl 1473.35493
Wang, Kang-Jia; Wang, Guo-Dong
2021
On the parabolic-elliptic Keller-Segel system with signal-dependent motilities: a paradigm for global boundedness and steady states. Zbl 1475.35366
Wang, Zhi-An
2021
Asymptotic profiles of the endemic equilibrium of a diffusive SIS epidemic system with saturated incidence rate and spontaneous infection. Zbl 1475.35368
Zhang, Jialiang; Cui, Renhao
2021
Recovery of timewise-dependent heat source for hyperbolic PDE from an integral condition. Zbl 1486.65151
2021
Jensen-Grüss inequality and its applications for the Zipf-Mandelbrot law. Zbl 1472.26006
Butt, Saad Ihsan; Bakula, Milica Klaričić; Pečarić, Đilda; Pečarić, Josip
2021
The nonlinear Rayleigh-Stokes problem with Riemann-Liouville fractional derivative. Zbl 1475.35297
Zhou, Yong; Wang, Jing Na
2021
A coupled system of nonlinear Caputo-Hadamard Langevin equations associated with nonperiodic boundary conditions. Zbl 1472.34014
2021
A robust spectral treatment of a class of initial value problems using modified Chebyshev polynomials. Zbl 07377144
Youssri, Youssri H.; Abd-Elhameed, Waleed M.; Abdelhakem, Mohamed
2021
Theoretical prospects of fractional order weakly singular Volterra integro differential equations and their approximations with convergence analysis. Zbl 07377156
Das, Pratibhamoy; Rana, Subrata
2021
An analytic study on the approximate solution of a nonlinear time-fractional Cauchy reaction-diffusion equation with the Mittag-Leffler law. Zbl 1471.35301
2021
On the characteristic Adomian decomposition method for the Riemann problem. Zbl 1471.35007
Zeidan, Dia; Chau, Chi Kin; Lu, Tzon-Tzer
2021
New approximate analytical solutions for the nonlinear fractional Schrödinger equation with second-order spatio-temporal dispersion via double Laplace transform method. Zbl 1473.35508
Kaabar, Mohammed K. A.; Martínez, Francisco; Gómez-Aguilar, José Francisco; Ghanbari, Behzad; Kaplan, Melike; Günerhan, Hatira
2021
Stability of discrete-time fractional-order time-delayed neural networks in complex field. Zbl 1479.39020
Pratap, Anbalagan; Raja, Ramachandran; Cao, Jinde; Huang, Chuangxia; Niezabitowski, Michal; Bagdasar, Ovidiu
2021
A critical Kirchhoff-type problem driven by a $$p ( \cdot )$$-fractional Laplace operator with variable $$s ( \cdot )$$ -order. Zbl 1469.35236
Zuo, Jiabin; An, Tianqing; Fiscella, Alessio
2021
Monotonicity results for nabla fractional $$h$$-difference operators. Zbl 1470.39042
Liu, Xiang; Du, Feifei; Anderson, Douglas; Jia, Baoguo
2021
Henry-Gronwall type $$q$$-fractional integral inequalities. Zbl 1470.39018
Ben Makhlouf, Abdellatif; Kharrat, Mohamed; Hammami, Mohamed Ali; Baleanu, Dumitru
2021
Existence and regularity of inverse problem for the nonlinear fractional Rayleigh-Stokes equations. Zbl 1472.35448
Bao, Ngoc Tran; Hoang, Luc Nguyen; Van, Au Vo; Nguyen, Huy Tuan; Zhou, Yong
2021
Regularization of a multidimensional diffusion equation with conformable time derivative and discrete data. Zbl 1470.35415
Tuan, Nguyen Huy; Thach, Tran Ngoc; Can, Nguyen Huu; O&rsquo;Regan, Donal
2021
New chaotic attractors: application of fractal-fractional differentiation and integration. Zbl 1481.34055
Gómez-Aguilar, J. F.; Atangana, Abdon
2021
Pattern formation in superdiffusion predator-prey-like problems with integer- and noninteger-order derivatives. Zbl 1475.35360
Owolabi, Kolade M.; Karaagac, Berat; Baleanu, Dumitru
2021
Analysis of $$q$$-fractional implicit boundary value problems having Stieltjes integral conditions. Zbl 1471.39007
Zada, Akbar; Alam, Mehboob; Riaz, Usman
2021
Pattern formations of a delayed diffusive predator-prey model with predator harvesting and prey social behavior. Zbl 1469.92086
Djilali, Salih; Bentout, Soufiane
2021
Convexity, monotonicity, and positivity results for sequential fractional nabla difference operators with discrete exponential kernels. Zbl 1472.39009
Goodrich, Christopher S.; Jonnalagadda, Jagan M.; Lyons, Benjamin
2021
Numerical simulation of telegraph and Cattaneo fractional-type models using adaptive reproducing kernel framework. Zbl 1497.65200
Al-Smadi, Mohammed; Arqub, Omar Abu; Gaith, Mohamed
2021
On parameterized inequalities of Ostrowski and Simpson type for convex functions via generalized fractional integrals. Zbl 1484.26019
Budak, Hüseyin; Hezenci, Fatih; Kara, Hasan
2021
The discrete-time Kolmogorov systems with historic behavior. Zbl 1470.92260
Saburov, Mansoor
2021
Interaction among a lump, periodic waves, and kink solutions to the fractional generalized CBS-BK equation. Zbl 1480.35091
2021
Blow-up for wave equation with the scale-invariant damping and combined nonlinearities. Zbl 1469.35055
Hamouda, Makram; Hamza, Mohamed Ali
2021
Analysis of the L1 scheme for a time fractional parabolic-elliptic problem involving weak singularity. Zbl 1486.65128
Santra, Sudarshan; Mohapatra, Jugal
2021
Discrete Chebyshev polynomials for nonsingular variable-order fractional KdV Burgers’ equation. Zbl 1470.35394
2021
Global classical solutions for chemotaxis-fluid systems in two dimensions. Zbl 1470.35006
Ahn, Jaewook; Kang, Kyungkeun; Yoon, Changwook
2021
Solutions of system of Volterra integro-differential equations using optimal homotopy asymptotic method. Zbl 1472.45001
Agarwal, Praveen; Akbar, Muhammad; Nawaz, Rashid; Jleli, Mohamed
2021
A novel approach to the Jensen gap through Taylor’s theorem. Zbl 1472.26009
Khan, Muhammad Adil; Khan, Shahid; Ullah, Inam; Khan, Khuram Ali; Chu, Yu-Ming
2021
On the spaces of Cesàro absolutely $$p$$-summable, null, and convergent sequences. Zbl 1480.46006
2021
Space-time Chebyshev spectral collocation method for nonlinear time-fractional Burgers equations based on efficient basis functions. Zbl 1473.65234
2021
Biorthogonal wavelets on the spectrum. Zbl 1472.42052
Ahmad, Owais; Sheikh, Neyaz A.; Nisar, Kottakkaran Sooppy; Shah, Firdous A.
2021
Numerical investigation for the fractional nonlinear space-time telegraph equation via the trigonometric Quintic B-spline scheme. Zbl 1469.35196
Khater, Mostafa M. A.; Nisar, Kottakkaran Sooppy; Mohamed, Mohamed S.
2021
Global stability analysis of a fractional SVEIR epidemic model. Zbl 1470.92331
2021
Weighted iterated radial composition operators from weighted Bergman-Orlicz spaces to weighted-type spaces on the unit ball. Zbl 07377115
Stević, Stevo; Jiang, Zhi-Jie
2021
A new perspective for the numerical solution of the modified equal width wave equation. Zbl 1473.65257
Başhan, Ali; Yağmurlu, Nuri Murat; Uçar, Yusuf; Esen, Alaattin
2021
Nehari manifold and bifurcation for a $$\psi$$-Hilfer fractional $$p$$-Laplacian. Zbl 1475.35401
Vanterler da C. Sousa, J.
2021
Blow-up of solutions to semilinear strongly damped wave equations with different nonlinear terms in an exterior domain. Zbl 1471.35059
2021
Stability results of coupled wave models with locally memory in a past history framework via nonsmooth coefficients on the interface. Zbl 1471.35038
2021
Quantum Ostrowski-type integral inequalities for functions of two variables. Zbl 1475.26014
Budak, Hüseyin; Ali, Muhammad Aamir; Tunç, Tuba
2021
On solvability of nonlinear fractional differential systems involving nonlocal initial conditions. Zbl 1479.34013
Matar, Mohammed M.; Skhail, Esmail S. Abu; Alzabut, Jehad
2021
Nečas-Lions lemma revisited: an $$L^{p}$$-version of the generalized Korn inequality for incompatible tensor fields. Zbl 1473.35015
Lewintan, Peter; Neff, Patrizio
2021
Chaotic behaviors of the prevalence of an infectious disease in a prey and predator system using fractional derivatives. Zbl 1475.92163
2021
A new least-squares-based reproducing kernel method for solving regular and weakly singular Volterra-Fredholm integral equations with smooth and nonsmooth solutions. Zbl 07394281
Xu, Minqiang; Niu, Jing; Tohidi, Emran; Hou, Jinjiao; Jiang, Danhua
2021
Design of event-triggered interval functional observers for systems with input and output disturbances. Zbl 1478.93222
Huong, D. C.; Huynh, V. T.; Trinh, H.
2021
Structure preserving model order reduction of shallow water equations. Zbl 1484.65181
Karasözen, Bülent; Yıldız, Süleyman; Uzunca, Murat
2021
Existence results for non-homogeneous boundary conditions in the relaxed micromorphic model. Zbl 1475.35336
Ghiba, Ionel-Dumitrel; Neff, Patrizio; Owczarek, Sebastian
2021
Existence theory for a system of coupled multi-term fractional differential equations with integral multi-strip coupled boundary conditions. Zbl 1485.34018
Ahmad, Bashir; Alghamdi, Najla; Alsaedi, Ahmed; Ntouyas, Sotiris K.
2021
Hermite-Hadamard type inequalities for generalized Riemann-Liouville fractional integrals of $$h$$-convex functions. Zbl 1472.26007
Dragomir, Silvestru Sever
2021
Analytical and semi-analytical solutions for time-fractional Cahn-Allen equation. Zbl 1470.35114
Khater, Mostafa M. A.; Bekir, Ahmet; Lu, Dianchen; Attia, Raghda A. M.
2021
Numerical solution of nonlinear fractal-fractional optimal control problems by Legendre polynomials. Zbl 1490.49007
2021
On certain dynamic properties of difference sequences and the fractional derivatives. Zbl 1480.40005
2021
Numerical solution of time-fractional singularly perturbed convection-diffusion problems with a delay in time. Zbl 1473.65259
Kumar, Kamalesh; Chakravarthy P., Pramod; Vigo-Aguiar, J.
2021
Existence and uniqueness results for initial value problem of nonlinear fractional integro-differential equation on an unbounded domain in a weighted Banach space. Zbl 1471.34147
Boulfoul, A.; Tellab, B.; Abdellouahab, N.; Zennir, Kh.
2021
Qualitative analysis of solutions for the $$p$$-Laplacian hyperbolic equation with logarithmic nonlinearity. Zbl 1472.35171
Pişkin, Erhan; Boulaaras, Salah; Irkil, Nazli
2021
On novel nondifferentiable exact solutions to local fractional Gardner’s equation using an effective technique. Zbl 1486.65217
2021
Some exact solutions of a variable coefficients fractional biological population model. Zbl 1475.35345
Abdel Kader, Abass H.; Abdel Latif, Mohamed S.; Baleanu, Dumitru
2021
Exponential decay of solutions for a viscoelastic coupled Lame system with logarithmic source and distributed delay terms. Zbl 1470.35056
Choucha, Abdelbaki; Boulaaras, Salah; Ouchenane, Djamel
2021
Critical regularity criteria for Navier-Stokes equations in terms of one directional derivative of the velocity. Zbl 1469.35168
Chen, Hui; Fang, Daoyuan; Zhang, Ting
2021
A coupled system of $$k$$-Hessian equations. Zbl 1472.35150
Feng, Meiqiang; Zhang, Xuemei
2021
Numerical solution of Volterra integral equations via Szász-Mirakyan approximation method. Zbl 1490.65321
Usta, Fuat; İlkhan, Merve; Kara, Emrah Evren
2021
A new regular infinite matrix defined by Jordan totient function and its matrix domain in $$\ell_p$$. Zbl 07377080
İlkhan, Merve; Şimşek, Necip; Kara, Emrah Evren
2021
Abundant exact solutions to a generalized nonlinear Schrödinger equation with local fractional derivative. Zbl 1470.35104
2021
Nonoscillation of half-linear dynamic equations on time scales. Zbl 07377120
Hasil, Petr; Kisel&rsquo;ák, Jozef; Pospíšil, Michal; Veselý, Michal
2021
Optimal control of a new mechanochemical model with state constraint. Zbl 1469.49047
Liu, Changchun; Zhang, Xiaoli
2021
On nonlinear coupled evolution system with nonlocal subsidiary conditions under fractal-fractional order derivative. Zbl 1478.34085
Abdo, Mohammed S.; Abdeljawad, Thabet; Shah, Kamal; Ali, Saeed M.
2021
Computational formulas and identities for new classes of Hermite-based Milne-Thomson type polynomials: analysis of generating functions with Euler’s formula. Zbl 1470.05017
Kilar, Neslihan; Simsek, Yilmaz
2021
A complex analysis approach to Atangana-Baleanu fractional calculus. Zbl 1476.33013
Fernandez, Arran
2021
On using coupled fixed-point theorems for mild solutions to coupled system of multipoint boundary value problems of nonlinear fractional hybrid pantograph differential equations. Zbl 1483.34103
Iqbal, Muhammad; Shah, Kamal; Khan, Rahmat Ali
2021
Fractional $$h$$-differences with exponential kernels and their monotonicity properties. Zbl 1473.39009
2021
Linear barycentric rational collocation method for solving telegraph equation. Zbl 07393737
Li, Jin; Su, Xiaoning; Qu, Jinzheng
2021
On new abundant solutions of the complex nonlinear Fokas-Lenells equation in optical fiber. Zbl 1479.35215
Wang, Kang-Jia; Zou, Bo-Rong
2021
Asymptotic profiles for a wave equation with parameter-dependent logarithmic damping. Zbl 1479.35089
Charão, Ruy Coimbra; D&rsquo;Abbicco, Marcello; Ikehata, Ryo
2021
Study on the explicit solutions of the Benney-Luke equation via the variational direct method. Zbl 1484.76018
Wang, Kang-Jia; Wang, Guo-Dong
2021
New various multisoliton kink-type solutions of the (1 +1)-dimensional Mikhailov-Novikov-Wang equation. Zbl 1479.35213
Ray, Santanu Saha; Singh, Shailendra
2021
Representation of solutions for linear fractional systems with pure delay and multiple delays. Zbl 1487.34150
Elshenhab, Ahmed M.; Wang, Xing Tao
2021
Global strong solution to a thermodynamic compressible diffuse interface model with temperature-dependent heat conductivity in 1D. Zbl 1479.35604
Chen, Yazhou; He, Qiaolin; Huang, Bin; Shi, Xiaoding
2021
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### Cited by 25,836 Authors

 131 Băleanu, Dumitru I. 110 Mu, Chunlai 101 Messaoudi, Salim A. 77 Nicaise, Serge 75 Abdeljawad, Thabet 73 Miranville, Alain M. 73 O’Regan, Donal 71 Boulaaras, Salah Mahmoud 71 Quintanilla de Latorre, Ramón 67 Al-saedi, Ahmed Eid Salem 67 Qian, Tao 67 Winkler, Michael 63 Chu, Yuming 63 Elaiw, Ahmed M. 62 Agarwal, Ravi P. 61 Stephan, Ernst Peter 59 Wang, Jinrong 57 Bory Reyes, Juan 56 Fan, Jishan 56 Zada, Akbar 55 Dehghan Takht Fooladi, Mehdi 55 Mursaleen, Mohammad 54 Abreu-Blaya, Ricardo 54 Ahmad, Bashir 54 Rezapour, Shahram 53 Zheng, Sining 50 Wendland, Wolfgang L. 49 Cao, Jinde 49 Jeribi, Aref 49 Nguyen Huy Tuan 49 Shah, Kamal 48 Colli, Pierluigi 47 Nazarov, Sergeĭ Aleksandrovich 47 Sommen, Franciscus 47 Zheng, Pan 46 Simos, Theodore E. 45 Said-Houari, Belkacem 44 De Schepper, Hennie 44 Torres, Delfim Fernando Marado 43 Li, Yeping 43 Liu, Wenjun 43 Sooppy Nisar, Kottakkaran 43 Srivastava, Hari Mohan 42 Colombo, Fabrizio 42 Sabadini, Irene 41 Hayat, Tasawar 41 Lasiecka, Irena 41 Neff, Patrizio 41 Tan, Zhong 41 Tatar, Nasser-eddine 41 Zhou, Yong 40 Brackx, Fred F. 40 Nečasová, Šárka 40 Samet, Bessem 39 Grasselli, Maurizio 39 Hiptmair, Ralf 39 Muñoz Rivera, Jaime Edilberto 39 Tang, Xianhua 39 Wang, Mingxin 38 Alzabut, Jehad O. 38 Leugering, Günter 38 Zhu, Changjiang 37 Feireisl, Eduard 37 Kravchenko, Vladislav V. 37 Zhou, Jun 36 Carrillo de la Plata, José Antonio 36 Feng, Baowei 36 Goodrich, Christopher S. 36 Qin, Yuming 36 Roubíček, Tomáš 35 Agrawal, Purshottam Narain 35 Banasiak, Jacek 35 Ciarlet, Patrick jun. 35 D’Abbicco, Marcello 35 Sprekels, Jürgen 34 Etemad, Sina 34 Rocca, Elisabetta 34 Simsek, Yilmaz 34 Wazwaz, Abdul-Majid Abdul-Rahman 33 Ammari, Habib M. 33 Gómez-Aguilar, José Francisco 33 Ikehata, Ryo 33 Kähler, Uwe 33 Khludnev, Aleksandr Mikhaĭlovich 33 Nieto Roig, Juan Jose 33 Ntouyas, Sotiris K. 33 Pata, Vittorino 33 Wu, Yonghong 33 Yang, Zhijian 32 Ciarlet, Philippe Gaston 32 Rashid, Saima 32 Straughan, Brian 31 Guo, Boling 31 Jiang, Daqing 31 Khan, Aziz 31 Marchioro, Carlo 31 Mielke, Alexander 31 Racke, Reinhard 31 Ramm, Alexander G. 31 Wang, Zhian ...and 25,736 more Authors
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### Cited in 889 Journals

 1,158 Journal of Mathematical Analysis and Applications 1,008 Mathematical Methods in the Applied Sciences 768 Journal of Differential Equations 710 Advances in Difference Equations 688 Applied Mathematics and Computation 535 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 506 Applicable Analysis 465 Computers & Mathematics with Applications 462 Journal of Computational and Applied Mathematics 449 ZAMP. Zeitschrift für angewandte Mathematik und Physik 408 Nonlinear Analysis. Real World Applications 406 Boundary Value Problems 395 Chaos, Solitons and Fractals 344 Applied Mathematics Letters 327 Journal of Mathematical Physics 279 M$$^3$$AS. Mathematical Models & Methods in Applied Sciences 264 Discrete and Continuous Dynamical Systems. Series B 257 AIMS Mathematics 245 Applied Numerical Mathematics 242 Journal of Computational Physics 229 Computational and Applied Mathematics 200 Journal of Function Spaces 196 Journal of Inequalities and Applications 195 Computer Methods in Applied Mechanics and Engineering 195 SIAM Journal on Mathematical Analysis 188 Communications on Pure and Applied Analysis 186 Archive for Rational Mechanics and Analysis 186 Acta Applicandae Mathematicae 184 Mathematics and Computers in Simulation 178 International Journal of Applied and Computational Mathematics 177 Communications in Nonlinear Science and Numerical Simulation 174 Discrete and Continuous Dynamical Systems. Series S 173 Discrete and Continuous Dynamical Systems 164 Abstract and Applied Analysis 161 Numerische Mathematik 151 Fractals 150 Communications in Partial Differential Equations 138 Advances in Applied Clifford Algebras 134 Mediterranean Journal of Mathematics 133 Mathematical Problems in Engineering 133 Nonlinear Dynamics 132 Discrete Dynamics in Nature and Society 131 Complex Variables and Elliptic Equations 129 Mathematics of Computation 129 Journal of Applied Mathematics and Computing 127 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis 126 Physica A 126 Journal of Scientific Computing 124 Advances in Mathematical Physics 123 Mathematical Biosciences and Engineering 119 Engineering Analysis with Boundary Elements 117 Applied Mathematics and Optimization 117 Journal of Mathematical Sciences (New York) 113 Communications in Mathematical Physics 112 International Journal of Computer Mathematics 112 Journal de Mathématiques Pures et Appliquées. Neuvième Série 112 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 111 Applied Mathematical Modelling 109 Journal of Mathematical Fluid Mechanics 106 Evolution Equations and Control Theory 105 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 104 International Journal of Biomathematics 103 Numerical Functional Analysis and Optimization 101 Quarterly of Applied Mathematics 100 Filomat 98 Comptes Rendus. Mathématique. Académie des Sciences, Paris 97 Journal of Mathematical Chemistry 97 Journal of Evolution Equations 96 Journal of Elasticity 93 Physica D 91 Inverse Problems 90 Journal of Integral Equations and Applications 89 Numerical Algorithms 88 Journal of the Franklin Institute 88 Journal of Functional Analysis 88 Turkish Journal of Mathematics 87 Complexity 87 Nonlinear Analysis. Theory, Methods & Applications 86 Complex Analysis and Operator Theory 83 Calculus of Variations and Partial Differential Equations 83 Acta Mathematica Scientia. Series B. (English Edition) 82 Mathematical and Computer Modelling 80 Fractional Calculus & Applied Analysis 79 Results in Mathematics 79 SIAM Journal on Applied Mathematics 76 Transport Theory and Statistical Physics 75 Journal of Inverse and Ill-Posed Problems 74 Numerical Methods for Partial Differential Equations 74 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 72 Journal of Statistical Physics 72 Mathematics and Mechanics of Solids 70 Journal of Applied Analysis and Computation 69 Annali di Matematica Pura ed Applicata. Serie Quarta 69 NoDEA. Nonlinear Differential Equations and Applications 69 Qualitative Theory of Dynamical Systems 68 SIAM Journal on Numerical Analysis 68 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 68 Open Mathematics 67 Inverse Problems in Science and Engineering 66 Integral Equations and Operator Theory ...and 789 more Journals
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### Cited in 62 Fields

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