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Kirane, Mokhtar

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 Author ID: kirane.mokhtar Published as: Kirane, M.; Kirane, Mokhtar; Kirane, Mokthar External Links: MGP · ORCID
 Documents Indexed: 182 Publications since 1983 Reviewing Activity: 7 Reviews
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Serials

 22 Mathematical Methods in the Applied Sciences 16 Electronic Journal of Differential Equations (EJDE) 9 Computers & Mathematics with Applications 9 Journal of Mathematical Analysis and Applications 7 Fractional Calculus & Applied Analysis 5 Applied Mathematics Letters 4 Applicable Analysis 4 Applied Mathematics and Computation 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Zeitschrift für Analysis und ihre Anwendungen 3 ZAMP. Zeitschrift für angewandte Mathematik und Physik 3 Abstract and Applied Analysis 3 Journal of Nonlinear Science and Applications 2 Inverse Problems 2 Journal of Computational and Applied Mathematics 2 Mathematische Nachrichten 2 Quaestiones Mathematicae 2 Quarterly of Applied Mathematics 2 Sibirskiĭ Matematicheskiĭ Zhurnal 2 Acta Applicandae Mathematicae 2 Journal of Integral Equations and Applications 2 Communications in Applied Analysis 2 Electronic Journal of Qualitative Theory of Differential Equations 2 Revista Matemática Complutense 2 Differential Equations 2 Nonlinear Analysis. Real World Applications 2 Advanced Nonlinear Studies 2 Communications on Pure and Applied Analysis 2 Mediterranean Journal of Mathematics 2 Nonlinear Analysis. Theory, Methods & Applications 1 IMA Journal of Applied Mathematics 1 Annales Polonici Mathematici 1 Archivum Mathematicum 1 Colloquium Mathematicum 1 Demonstratio Mathematica 1 Hokkaido Mathematical Journal 1 Journal of Differential Equations 1 Mathematische Annalen 1 Monatshefte für Mathematik 1 Transactions of the American Mathematical Society 1 Annales de la Faculté des Sciences de Toulouse. Série V. Mathématiques 1 Analysis 1 Journal of the Ramanujan Mathematical Society 1 Japan Journal of Industrial and Applied Mathematics 1 Differential and Integral Equations 1 Dynamic Systems and Applications 1 Bulletin of the Institute of Mathematics. Academia Sinica 1 The Canadian Applied Mathematics Quarterly 1 Applicationes Mathematicae 1 Journal of Mathematical Sciences (New York) 1 Georgian Mathematical Journal 1 Journal of Inverse and Ill-Posed Problems 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Journal of Inequalities and Applications 1 Discrete Dynamics in Nature and Society 1 Neliniĭni Kolyvannya 1 International Journal of Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems. Series B 1 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Complex Variables and Elliptic Equations 1 Journal of Mathematical Inequalities 1 Mathematical Modelling of Natural Phenomena 1 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 1 Fractional Differential Calculus 1 Evolution Equations and Control Theory 1 Journal of Function Spaces
all top 5

Fields

 148 Partial differential equations (35-XX) 27 Ordinary differential equations (34-XX) 23 Real functions (26-XX) 22 Operator theory (47-XX) 12 Biology and other natural sciences (92-XX) 10 Integral equations (45-XX) 8 Numerical analysis (65-XX) 7 Fluid mechanics (76-XX) 5 Mechanics of deformable solids (74-XX) 5 Classical thermodynamics, heat transfer (80-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 2 Difference and functional equations (39-XX) 2 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 2 Systems theory; control (93-XX) 1 General and overarching topics; collections (00-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Topological groups, Lie groups (22-XX) 1 Potential theory (31-XX) 1 Integral transforms, operational calculus (44-XX)

Citations contained in zbMATH Open

131 Publications have been cited 983 times in 660 Documents Cited by Year
Existence and asymptotic stability of a viscoelastic wave equation with a delay. Zbl 1242.35163
Kirane, Mokhtar; Said-Houari, Belkacem
2011
Critical exponents of Fujita type for certain evolution equations and systems with spatio-temporal fractional derivatives. Zbl 1135.35350
Kirane, M.; Laskri, Y.; Tatar, N.-E.
2005
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
Determination of an unknown source term and the temperature distribution for the linear heat equation involving fractional derivative in time. Zbl 1231.35289
Kirane, Mokhtar; Malik, Salman A.
2011
Stability result for the Timoshenko system with a time-varying delay term in the internal feedbacks. Zbl 1228.35242
Kirane, Mokhtar; Said-Houari, Belkacem; Anwar, Mohamed Naim
2011
Criticality for some evolution equations. Zbl 0996.35007
Guedda, M.; Kirane, M.
2001
Qualitative properties of solutions to a time-space fractional evolution equation. Zbl 1253.26008
2012
The profile of blowing-up solutions to a nonlinear system of fractional differential equations. Zbl 1205.26013
Kirane, Mokhtar; Malik, Salman A.
2010
An inverse problem for a generalized fractional diffusion. Zbl 1338.35493
Furati, Khaled M.; Iyiola, Olaniyi S.; Kirane, Mokhtar
2014
Global nonexistence for the Cauchy problem of some nonlinear reaction-diffusion systems. Zbl 1006.35011
Kirane, Mokhtar; Qafsaoui, Mahmoud
2002
Estimations $$C^ 1$$ pour des problèmes paraboliques semi-linéaires. Zbl 0531.35048
Haraux, A.; Kirane, M.
1983
Maximum principle for certain generalized time and space fractional diffusion equations. Zbl 1328.35271
Alsaedi, Ahmed; Ahmad, Bashir; Kirane, Mokhtar
2015
Lyapunov-type inequalities for fractional partial differential equations. Zbl 1362.35322
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2017
Determination of a source term for a time fractional diffusion equation with an integral type over-determining condition. Zbl 1288.80012
Aleroev, Timurkhan S.; Kirane, Mokhtar; Malik, Salman A.
2013
A memory type boundary stabilization of a mildly damped wave equation. Zbl 0945.35053
Kirane, Mokhtar; Tatar, Nasser-eddine
1999
A note on nonexistence of global solutions to a nonlinear integral equation. Zbl 0953.45006
Guedda, M.; Kirane, M.
1999
Global bounds and asymptotics for a system of reaction-diffusion equations. Zbl 0681.35045
Kirane, Mokhtar
1989
On oscillation of nonlinear second order differential equation with damping term. Zbl 1035.34019
Kirane, Mokhtar; Rogovchenko, Yuri V.
2001
Oscillation results for a second order damped differential equation with nonmonotonous nonlinearity. Zbl 1008.34029
Kirane, Mokhtar; Rogovchenko, Yuri V.
2000
Global solutions of reaction-diffusion systems with a balance law and nonlinearities of exponential growth. Zbl 0970.35073
Kanel, J. I.; Kirane, M.
2000
Blow-up for some equations with semilinear dynamical boundary conditions of parabolic and hyperbolic type. Zbl 0799.35027
Kirane, M.
1992
Fujita’s exponent for a semilinear wave equation with linear damping. Zbl 1056.35020
Kirane, Mokhtar; Qafsaoui, Mahmoud
2002
Non-existence results for a semilinear hyperbolic problem with boundary condition of memory type. Zbl 0986.35071
Kirane, M.; Tatar, N.-e.
2000
Necessary conditions for the existence of global solutions to systems of fractional differential equations. Zbl 1196.26012
Furati, K. M.; Kirane, M.
2008
Exponential growth for a fractionally damped wave equation. Zbl 1029.35177
Kirane, M.; Tatar, N.-e.
2003
Comparison results for systems of impulse parabolic equations with applications to population dynamics. Zbl 0865.35007
Kirane, Mokhtar; Rogovchenko, Yuri V.
1997
A degenerate diffusion problem with dynamical boundary conditions. Zbl 1001.35072
Igbida, Noureddine; Kirane, Mokhtar
2002
A survey of useful inequalities in fractional calculus. Zbl 1367.26016
Alsaedi, Ahmed; Ahmad, Bashir; Kirane, Mokhtar
2017
Inverse problems for a nonlocal wave equation with an involution pertubation. Zbl 1327.35440
Kirane, Mokhtar; Al-Salti, Nasser
2016
On a time fractional reaction diffusion equation. Zbl 1338.35456
Ahmad, B.; Alhothuali, M. S.; Alsulami, H. H.; Kirane, M.; Timoshin, S.
2015
Nonexistence of global solutions to an elliptic equation with a dynamical boundary condition. Zbl 1374.35176
Kirane, Mokhtar; Nabana, Eric; Pohozaev, Stanislav I.
2004
Hermite-Hadamard, Hermite-Hadamard-Fejér, Dragomir-Agarwal and Pachpatte type inequalities for convex functions via new fractional integrals. Zbl 1426.26008
Ahmad, Bashir; Alsaedi, Ahmed; Kirane, Mokhtar; Torebek, Berikbol T.
2019
On a Riesz-Feller space fractional backward diffusion problem with a nonlinear source. Zbl 1351.65069
Tuan, Nguyen Huy; Hai, Dinh Nguyen Duy; Long, Le Dinh; Nguyen, Van Thinh; Kirane, Mokhtar
2017
Non-existence of global solutions to a system of fractional diffusion equations. Zbl 1327.35406
Kirane, M.; Ahmad, B.; Alsaedi, A.; Al-Yami, M.
2014
Global existence and stability of some semilinear problems. Zbl 1048.34102
Kirane, M.; Tatar, N.-E.
2000
Global solutions to a system of strongly coupled reaction-diffusion equations. Zbl 0924.35064
Kirane, Mokhtar; Kouachi, Said
1996
A new Fourier truncated regularization method for semilinear backward parabolic problems. Zbl 1375.35267
Huy, Tuan Nguyen; Kirane, Mokhtar; Samet, Bessem; Vo, Van Au
2017
Absence of local and global solutions to an elliptic system with time-fractional dynamical boundary conditions. Zbl 1164.35352
Kirane, Mokhtar; Tatar, Nasser-Eddine
2007
Nonexistence of solutions to a hyperbolic equation with a time fractional damping. Zbl 1106.26009
Kirane, Mokhtar; Tatar, Nasser-Eddine
2006
Nonexistence results of solutions to systems of semilinear differential inequalities on the Heisenberg group. Zbl 1133.35354
El Hamidi, Abdallah; Kirane, Mokhtar
2004
The absence of solutions of elliptic systems with dynamic boundary conditions. Zbl 1290.35119
Kirane, M.; Nabana, E.; Pokhozhaev, S. I.
2002
Determination of an unknown source term temperature distribution for the sub-diffusion equation at the initial and final data. Zbl 1375.35632
Kirane, Mokhtar; Samet, Bessem; Torebek, Berikbol T.
2017
The equivalent refraction index for the acoustic scattering by many small obstacles: with error estimates. Zbl 1305.76094
2015
On the nonexistence of blowing-up solutions to a fractional functional-differential equation. Zbl 1244.34099
Kirane, Mokhtar; Medveď, Milan; Tatar, Nasser-eddine
2012
Control and optimal response problems for quasilinear impulsive integrodifferential equations. Zbl 1259.49037
Akhmet, M. U.; Kirane, M.; Tleubergenova, M. A.; Weber, G. W.
2006
Extremum principle for the Hadamard derivatives and its application to nonlinear fractional partial differential equations. Zbl 1423.35402
Kirane, Mokhtar; Torebek, Berikbol T.
2019
Maximum principle and its application for the nonlinear time-fractional diffusion equations with Cauchy-Dirichlet conditions. Zbl 06869192
Borikhanov, Meiirkhan; Kirane, Mokhtar; Torebek, Berikbol T.
2018
Global existence and asymptotic behavior for a time fractional reaction-diffusion system. Zbl 1409.35210
Alsaedi, Ahmed; Kirane, Mokhtar; Lassoued, Rafika
2017
Nonexistence results for the Cauchy problem of time fractional nonlinear systems of thermo-elasticity. Zbl 1370.35203
Ahmad, B.; Alsaedi, A.; Kirane, M.
2017
Uniform and weak stability of Bresse system with two infinite memories. Zbl 1379.35023
Guesmia, Aissa; Kirane, Mokhtar
2016
Semilinear Volterra integrodifferential problems with fractional derivatives in the nonlinearities. Zbl 1217.45001
Kirane, Mokhtar; Medveď, Milan; Tatar, Nasser-Eddine
2011
Qualitative properties of solutions to a nonlocal evolution system. Zbl 1218.35119
2011
Convergence rates for a reaction-diffusion system. Zbl 0984.35080
Kirane, M.; Tatar, N.-e.
2001
A nonexistence result to a Cauchy problem in nonlinear one-dimensional thermoelasticity. Zbl 0972.35010
Kirane, Mokhtar; Tatar, Nasser-eddine
2001
Global existence and large time behavior of positive solutions to a reaction diffusion system. Zbl 1038.35031
Kanel, Jacob Isaac; Kirane, Mokhtar
2000
Hartman-Wintner-type inequality for a fractional boundary value problem via a fractional derivative with respect to another function. Zbl 1372.34013
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2017
Nonexistence of global solutions of some nonlinear space-nonlocal evolution equations on the Heisenberg group. Zbl 1328.35258
Ahmad, Bashir; Alsaedi, Ahmed; Kirane, Mokhtar
2015
Nonlinear fractional differential equations of Sobolev type. Zbl 1302.35396
Alsaedi, Ahmed; Alhothuali, Mohammed S.; Ahmad, Bashir; Kerbal, Sebti; Kirane, Mokhtar
2014
Nonexistence for the Laplace equation with a dynamical boundary condition of fractional type. Zbl 1164.35360
Kirane, Mokhtar; Tatar, Nasser-Eddine
2007
Nonexistence of global solutions to a hyperbolic equation with a space-time fractional damping. Zbl 1079.35073
2005
Pointwise a priori bounds for a strongly coupled system of reaction-diffusion equations with a balance law. Zbl 0923.35030
Kanel, Jacob Isaac; Kirane, Mokhtar
1998
On stabilization of solutions of the system of parabolic differential equations describing the kinetics of an auto-catalytic reversible chemical reaction. Zbl 0731.35056
Kirane, M.
1990
Identification and regularization for unknown source for a time-fractional diffusion equation. Zbl 1409.35230
Tuan, Nguyen Huy; Kirane, Mokhtar; Hoan, Luu Vu Cam; Long, Le Dinh
2017
Filter regularization for final value fractional diffusion problem with deterministic and random noise. Zbl 1394.35567
Tuan, Nguyen Huy; Kirane, Mokhtar; Bin-Mohsin, Bandar; Tam, Pham Thi Minh
2017
A regularization method for time-fractional linear inverse diffusion problems. Zbl 1349.35146
Tuan, Nguyen Huy; Kirane, Mokhtar; Luu, Vu Cam Hoan; Bin-Mohsin, Bandar
2016
Life span of solutions to a nonlocal in time nonlinear fractional Schrödinger equation. Zbl 1322.35127
Kirane, M.; Nabti, A.
2015
Nonexistence results for a class of evolution equations in the Heisenberg group. Zbl 1312.47090
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2015
Nonexistence results for the Cauchy problem for nonlinear ultraparabolic equations. Zbl 1223.35212
Kerbal, Sebti; Kirane, Mokhtar
2011
A nonexistence result for a system of quasilinear degenerate elliptic inequalities in a half-space. Zbl 1007.35033
Kirane, Mokthar; Nabana, Eric
2002
Diffusion terms in systems of reaction diffusion equations can lead to blow up. Zbl 0986.35050
Guedda, M.; Kirane, M.
1998
Nonexistence of global solutions of some quasilinear hyperbolic equations with dynamic boundary conditions. Zbl 0884.35085
Kirane, M.; Kouachi, S.; Tatar, N.
1995
Temperature growth and temperature bounds in special cases of combustion models. Zbl 0791.35062
Avrin, Joel D.; Kirane, Mokhtar
1993
Extended global asymptotic stability conditions for a generalized reaction-diffusion system. Zbl 1415.35150
Abdelmalek, Salem; Bendoukha, Samir; Rebiai, Belgacem; Kirane, Mokhtar
2019
A derivative concept with respect to an arbitrary kernel and applications to fractional calculus. Zbl 07031003
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2019
Blow-up of solutions for semilinear fractional Schrödinger equations. Zbl 1393.35220
Fino, A. Z.; Dannawi, I.; Kirane, M.
2018
Infinitely many weak solutions for $$p(x)$$-Laplacian-like problems with Neumann condition. Zbl 1393.35038
Afrouzi, Ghasem A.; Kirane, Mokhtar; Shokooh, Saeid
2018
On a backward problem for multidimensional Ginzburg-Landau equation with random data. Zbl 06850149
Kirane, Mokhtar; Nane, Erkan; Tuan, Nguyen Huy
2018
Lyapunov-type inequalities for a fractional $$p$$-Laplacian system. Zbl 1391.35394
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2017
Analysis and numerical simulation of the three-dimensional Cauchy problem for quasi-linear elliptic equations. Zbl 1351.65068
Tran, Quoc Viet; Kirane, Mokhtar; Nguyen, Huy Tuan; Nguyen, Van Thinh
2017
Blow-up results for fractional evolution problems with nonlocal diffusion. Zbl 1388.35210
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2016
Filter regularization for an inverse parabolic problem in several variables. Zbl 1336.65105
Tuan, Nguyen Huy; Kirane, Mokhtar; Le, Long Dinh; Van Nguyen, Thinh
2016
On solvability of a boundary value problem for the Poisson equation with a nonlocal boundary operator. Zbl 1349.35078
2015
Nonexistence results for a pseudo-hyperbolic equation in the Heisenberg group. Zbl 1336.35345
Kirane, Mokhtar; Ragoub, Lakhdar
2015
On nonlinear nonlocal systems of reaction diffusion equations. Zbl 07023109
Ahmad, B.; Alhothuali, M. S.; Alsulami, H. H.; Kirane, M.; Timoshin, S.
2014
Blowing-up solutions to systems of fractional differential and integral equations with exponential non-linearities. Zbl 1333.35325
2014
Blowing-up solutions to two-times fractional differential equations. Zbl 1284.35087
Kirane, Mokhtar; Kadem, Abdelouhab; Debbouche, Amar
2013
Boundary-value problems for differential equations of fractional order. Zbl 1286.34006
Aleroev, Temirkhan Sultanovich; Kirane, Mokhtar; Tang, Yi-Fa
2013
Asymptotic behaviour for a system describing epidemics with migration and spatial spread of infection. Zbl 0776.35026
Kirane, M.; Kouachi, S.
1993
Global bounds of solutions for a strongly coupled system of reaction diffusion equations. Zbl 0678.35057
Kirane, Mokhtar
1991
A Lyapunov-type inequality for a fractional boundary value problem with Caputo-Fabrizio derivative. Zbl 1409.34010
Kirane, Mokhtar; Torebek, Berikbol T.
2018
Approximation of an inverse initial problem for a biparabolic equation. Zbl 06860538
Nguyen, Huy Tuan; Kirane, Mokhtar; Quoc, Nam Danh Hua; Vo, Van Au
2018
Lyapunov-type inequalities for fractional quasilinear problems via variational methods. Zbl 1412.35013
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2017
Nonexistence of global solutions for fractional temporal Schrödinger equations and systems. Zbl 1375.35594
Azman, Ibtehal; Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2017
A cluster of many small holes with negative imaginary surface impedances may generate a negative refraction index. Zbl 1375.35285
2016
Extraction of the index of refraction by embedding multiple small inclusions. Zbl 1398.76206
2016
On a nonlocal problem for the Laplace equation in the unit ball with fractional boundary conditions. Zbl 1344.35011
Kirane, Mokhtar; Torebek, Berikbol T.
2016
On a reaction diffusion equation with nonlinear time-nonlocal source term. Zbl 1334.35092
Ahmad, Bashir; Alsaedi, Ahmed; Kirane, Mokhtar
2016
On one class of persymmetric matrices generated by boundary value problems for differential equations of fractional order. Zbl 1410.34009
Aleroev, M.; Aleroev, T.; Kirane, M.; Tang, Y-F.
2015
Nonexistence of global solutions for a class of two-time nonlinear evolution equations. Zbl 1369.35034
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2014
On weak solutions for generalized Oldroyd model for laminar and turbulent flows of nonlinear viscous-elastic fluid. Zbl 1048.35077
Dmitrienko, Vladimir T.; Kirane, Mokhtar; Zvyagin, Victor G.
2003
Hermite-Hadamard, Hermite-Hadamard-Fejér, Dragomir-Agarwal and Pachpatte type inequalities for convex functions via new fractional integrals. Zbl 1426.26008
Ahmad, Bashir; Alsaedi, Ahmed; Kirane, Mokhtar; Torebek, Berikbol T.
2019
Extremum principle for the Hadamard derivatives and its application to nonlinear fractional partial differential equations. Zbl 1423.35402
Kirane, Mokhtar; Torebek, Berikbol T.
2019
Extended global asymptotic stability conditions for a generalized reaction-diffusion system. Zbl 1415.35150
Abdelmalek, Salem; Bendoukha, Samir; Rebiai, Belgacem; Kirane, Mokhtar
2019
A derivative concept with respect to an arbitrary kernel and applications to fractional calculus. Zbl 07031003
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2019
Blow-up results for higher-order evolution differential inequalities in exterior domains. Zbl 1419.35258
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2019
On an inverse problem of reconstructing a subdiffusion process from nonlocal data. Zbl 1414.35103
Kirane, Mokhtar; Sadybekov, Makhmud A.; Sarsenbi, Abdisalam A.
2019
Determination of initial data for a reaction-diffusion system with variable coefficients. Zbl 1404.35217
Au, Vo Van; Kirane, Mokhtar; Tuan, Nguyen Huy
2019
Maximum principle and its application for the nonlinear time-fractional diffusion equations with Cauchy-Dirichlet conditions. Zbl 06869192
Borikhanov, Meiirkhan; Kirane, Mokhtar; Torebek, Berikbol T.
2018
Blow-up of solutions for semilinear fractional Schrödinger equations. Zbl 1393.35220
Fino, A. Z.; Dannawi, I.; Kirane, M.
2018
Infinitely many weak solutions for $$p(x)$$-Laplacian-like problems with Neumann condition. Zbl 1393.35038
Afrouzi, Ghasem A.; Kirane, Mokhtar; Shokooh, Saeid
2018
On a backward problem for multidimensional Ginzburg-Landau equation with random data. Zbl 06850149
Kirane, Mokhtar; Nane, Erkan; Tuan, Nguyen Huy
2018
A Lyapunov-type inequality for a fractional boundary value problem with Caputo-Fabrizio derivative. Zbl 1409.34010
Kirane, Mokhtar; Torebek, Berikbol T.
2018
Approximation of an inverse initial problem for a biparabolic equation. Zbl 06860538
Nguyen, Huy Tuan; Kirane, Mokhtar; Quoc, Nam Danh Hua; Vo, Van Au
2018
Finite time blow-up for damped wave equations with space-time dependent potential and nonlinear memory. Zbl 1415.35201
Dannawi, I.; Kirane, M.; Fino, A. Z.
2018
A triangular nonlinear reaction-fractional diffusion system with a balance law. Zbl 1388.35002
Alsaedi, Ahmed; Al-Yami, Maryam; Kirane, Mokhtar; Momenkhan, Faten
2018
On a semi-linear system of nonlocal time and space reaction diffusion equations with exponential nonlinearities. Zbl 1393.35093
Ahmad, B.; Alsaedi, A.; Hnaien, D.; Kirane, M.
2018
Discussion of some inequalities via fractional integrals. Zbl 1387.26033
Kirane, Mokhtar; Samet, Bessem
2018
Lyapunov-type inequalities for fractional partial differential equations. Zbl 1362.35322
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2017
A survey of useful inequalities in fractional calculus. Zbl 1367.26016
Alsaedi, Ahmed; Ahmad, Bashir; Kirane, Mokhtar
2017
On a Riesz-Feller space fractional backward diffusion problem with a nonlinear source. Zbl 1351.65069
Tuan, Nguyen Huy; Hai, Dinh Nguyen Duy; Long, Le Dinh; Nguyen, Van Thinh; Kirane, Mokhtar
2017
A new Fourier truncated regularization method for semilinear backward parabolic problems. Zbl 1375.35267
Huy, Tuan Nguyen; Kirane, Mokhtar; Samet, Bessem; Vo, Van Au
2017
Determination of an unknown source term temperature distribution for the sub-diffusion equation at the initial and final data. Zbl 1375.35632
Kirane, Mokhtar; Samet, Bessem; Torebek, Berikbol T.
2017
Global existence and asymptotic behavior for a time fractional reaction-diffusion system. Zbl 1409.35210
Alsaedi, Ahmed; Kirane, Mokhtar; Lassoued, Rafika
2017
Nonexistence results for the Cauchy problem of time fractional nonlinear systems of thermo-elasticity. Zbl 1370.35203
Ahmad, B.; Alsaedi, A.; Kirane, M.
2017
Hartman-Wintner-type inequality for a fractional boundary value problem via a fractional derivative with respect to another function. Zbl 1372.34013
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2017
Identification and regularization for unknown source for a time-fractional diffusion equation. Zbl 1409.35230
Tuan, Nguyen Huy; Kirane, Mokhtar; Hoan, Luu Vu Cam; Long, Le Dinh
2017
Filter regularization for final value fractional diffusion problem with deterministic and random noise. Zbl 1394.35567
Tuan, Nguyen Huy; Kirane, Mokhtar; Bin-Mohsin, Bandar; Tam, Pham Thi Minh
2017
Lyapunov-type inequalities for a fractional $$p$$-Laplacian system. Zbl 1391.35394
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2017
Analysis and numerical simulation of the three-dimensional Cauchy problem for quasi-linear elliptic equations. Zbl 1351.65068
Tran, Quoc Viet; Kirane, Mokhtar; Nguyen, Huy Tuan; Nguyen, Van Thinh
2017
Lyapunov-type inequalities for fractional quasilinear problems via variational methods. Zbl 1412.35013
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2017
Nonexistence of global solutions for fractional temporal Schrödinger equations and systems. Zbl 1375.35594
Azman, Ibtehal; Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2017
An inverse problem for space and time fractional evolution equations with an involution perturbation. Zbl 1423.35147
Ahmad, Bashir; Alsaedi, Ahmed; Kirane, Mokhtar; Tapdigoglu, Ramiz G.
2017
A nonlocal fractional Helmholtz equation. Zbl 1424.35348
Kirane, Mokhtar; Turmetov, Batirkhan Kh.; Torebek, Berikbol T.
2017
A numerical approach based on $$\ln$$-shifted Legendre polynomials for solving a fractional model of pollution. Zbl 06836399
Jleli, M.; Kirane, M.; Samet, B.
2017
Nonexistence results for higher order pseudo-parabolic equations in the Heisenberg group. Zbl 06706901
Alsaedi, Ahmed; Ahmad, Bashir; Kirane, Mokhtar; Al-Yami, Maryem
2017
Inverse problems for a nonlocal wave equation with an involution pertubation. Zbl 1327.35440
Kirane, Mokhtar; Al-Salti, Nasser
2016
Uniform and weak stability of Bresse system with two infinite memories. Zbl 1379.35023
Guesmia, Aissa; Kirane, Mokhtar
2016
A regularization method for time-fractional linear inverse diffusion problems. Zbl 1349.35146
Tuan, Nguyen Huy; Kirane, Mokhtar; Luu, Vu Cam Hoan; Bin-Mohsin, Bandar
2016
Blow-up results for fractional evolution problems with nonlocal diffusion. Zbl 1388.35210
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2016
Filter regularization for an inverse parabolic problem in several variables. Zbl 1336.65105
Tuan, Nguyen Huy; Kirane, Mokhtar; Le, Long Dinh; Van Nguyen, Thinh
2016
A cluster of many small holes with negative imaginary surface impedances may generate a negative refraction index. Zbl 1375.35285
2016
Extraction of the index of refraction by embedding multiple small inclusions. Zbl 1398.76206
2016
On a nonlocal problem for the Laplace equation in the unit ball with fractional boundary conditions. Zbl 1344.35011
Kirane, Mokhtar; Torebek, Berikbol T.
2016
On a reaction diffusion equation with nonlinear time-nonlocal source term. Zbl 1334.35092
Ahmad, Bashir; Alsaedi, Ahmed; Kirane, Mokhtar
2016
A Fujita-type theorem for a multitime evolutionary $$p$$-Laplace inequality in the Heisenberg group. Zbl 1369.47075
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2016
Blow-up phenomena for second-order differential inequalities with shifted arguments. Zbl 1345.34133
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2016
Nonexistence of global weak solutions of a system of wave equations on the Heisenberg group. Zbl 06594335
Kellil, Rabah; Kirane, Mokhtar
2016
Nonexistence results for pseudo-parabolic equations in the Heisenberg group. Zbl 1346.47082
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2016
Maximum principle for certain generalized time and space fractional diffusion equations. Zbl 1328.35271
Alsaedi, Ahmed; Ahmad, Bashir; Kirane, Mokhtar
2015
On a time fractional reaction diffusion equation. Zbl 1338.35456
Ahmad, B.; Alhothuali, M. S.; Alsulami, H. H.; Kirane, M.; Timoshin, S.
2015
The equivalent refraction index for the acoustic scattering by many small obstacles: with error estimates. Zbl 1305.76094
2015
Nonexistence of global solutions of some nonlinear space-nonlocal evolution equations on the Heisenberg group. Zbl 1328.35258
Ahmad, Bashir; Alsaedi, Ahmed; Kirane, Mokhtar
2015
Life span of solutions to a nonlocal in time nonlinear fractional Schrödinger equation. Zbl 1322.35127
Kirane, M.; Nabti, A.
2015
Nonexistence results for a class of evolution equations in the Heisenberg group. Zbl 1312.47090
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2015
On solvability of a boundary value problem for the Poisson equation with a nonlocal boundary operator. Zbl 1349.35078
2015
Nonexistence results for a pseudo-hyperbolic equation in the Heisenberg group. Zbl 1336.35345
Kirane, Mokhtar; Ragoub, Lakhdar
2015
On one class of persymmetric matrices generated by boundary value problems for differential equations of fractional order. Zbl 1410.34009
Aleroev, M.; Aleroev, T.; Kirane, M.; Tang, Y-F.
2015
Nonexistence of solutions of some non-linear non-local evolution systems on the Heisenberg group. Zbl 1328.35004
Boutefnouchet, Mahmoud; Kirane, Mokhtar
2015
An inverse problem for a generalized fractional diffusion. Zbl 1338.35493
Furati, Khaled M.; Iyiola, Olaniyi S.; Kirane, Mokhtar
2014
Non-existence of global solutions to a system of fractional diffusion equations. Zbl 1327.35406
Kirane, M.; Ahmad, B.; Alsaedi, A.; Al-Yami, M.
2014
Nonlinear fractional differential equations of Sobolev type. Zbl 1302.35396
Alsaedi, Ahmed; Alhothuali, Mohammed S.; Ahmad, Bashir; Kerbal, Sebti; Kirane, Mokhtar
2014
On nonlinear nonlocal systems of reaction diffusion equations. Zbl 07023109
Ahmad, B.; Alhothuali, M. S.; Alsulami, H. H.; Kirane, M.; Timoshin, S.
2014
Blowing-up solutions to systems of fractional differential and integral equations with exponential non-linearities. Zbl 1333.35325
2014
Nonexistence of global solutions for a class of two-time nonlinear evolution equations. Zbl 1369.35034
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2014
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
Determination of a source term for a time fractional diffusion equation with an integral type over-determining condition. Zbl 1288.80012
Aleroev, Timurkhan S.; Kirane, Mokhtar; Malik, Salman A.
2013
Blowing-up solutions to two-times fractional differential equations. Zbl 1284.35087
Kirane, Mokhtar; Kadem, Abdelouhab; Debbouche, Amar
2013
Boundary-value problems for differential equations of fractional order. Zbl 1286.34006
Aleroev, Temirkhan Sultanovich; Kirane, Mokhtar; Tang, Yi-Fa
2013
A Lyapunov functional for a triangular reaction-diffusion system with nonlinearities of exponential growth. Zbl 1259.35033
Abdelmalek, S.; Kirane, M.; Youkana, A.
2013
Qualitative properties of solutions to a time-space fractional evolution equation. Zbl 1253.26008
2012
On the nonexistence of blowing-up solutions to a fractional functional-differential equation. Zbl 1244.34099
Kirane, Mokhtar; Medveď, Milan; Tatar, Nasser-eddine
2012
Existence and asymptotic stability of a viscoelastic wave equation with a delay. Zbl 1242.35163
Kirane, Mokhtar; Said-Houari, Belkacem
2011
Determination of an unknown source term and the temperature distribution for the linear heat equation involving fractional derivative in time. Zbl 1231.35289
Kirane, Mokhtar; Malik, Salman A.
2011
Stability result for the Timoshenko system with a time-varying delay term in the internal feedbacks. Zbl 1228.35242
Kirane, Mokhtar; Said-Houari, Belkacem; Anwar, Mohamed Naim
2011
Semilinear Volterra integrodifferential problems with fractional derivatives in the nonlinearities. Zbl 1217.45001
Kirane, Mokhtar; Medveď, Milan; Tatar, Nasser-Eddine
2011
Qualitative properties of solutions to a nonlocal evolution system. Zbl 1218.35119
2011
Nonexistence results for the Cauchy problem for nonlinear ultraparabolic equations. Zbl 1223.35212
Kerbal, Sebti; Kirane, Mokhtar
2011
Global nonexistence results for a class of hyperbolic systems. Zbl 1228.35070
Said-Houari, Belkacem; Kirane, Mokhtar
2011
The profile of blowing-up solutions to a nonlinear system of fractional differential equations. Zbl 1205.26013
Kirane, Mokhtar; Malik, Salman A.
2010
Necessary conditions for the existence of global solutions to systems of fractional differential equations. Zbl 1196.26012
Furati, K. M.; Kirane, M.
2008
Absence of local and global solutions to an elliptic system with time-fractional dynamical boundary conditions. Zbl 1164.35352
Kirane, Mokhtar; Tatar, Nasser-Eddine
2007
Nonexistence for the Laplace equation with a dynamical boundary condition of fractional type. Zbl 1164.35360
Kirane, Mokhtar; Tatar, Nasser-Eddine
2007
Nonexistence of solutions to a hyperbolic equation with a time fractional damping. Zbl 1106.26009
Kirane, Mokhtar; Tatar, Nasser-Eddine
2006
Control and optimal response problems for quasilinear impulsive integrodifferential equations. Zbl 1259.49037
Akhmet, M. U.; Kirane, M.; Tleubergenova, M. A.; Weber, G. W.
2006
Critical exponents of Fujita type for certain evolution equations and systems with spatio-temporal fractional derivatives. Zbl 1135.35350
Kirane, M.; Laskri, Y.; Tatar, N.-E.
2005
Nonexistence of global solutions to a hyperbolic equation with a space-time fractional damping. Zbl 1079.35073
2005
Nonexistence of global solutions to an elliptic equation with a dynamical boundary condition. Zbl 1374.35176
Kirane, Mokhtar; Nabana, Eric; Pohozaev, Stanislav I.
2004
Nonexistence results of solutions to systems of semilinear differential inequalities on the Heisenberg group. Zbl 1133.35354
El Hamidi, Abdallah; Kirane, Mokhtar
2004
Existence and asymptotic behavior for a convection problem. Zbl 1081.76054
Furati, Khaled M.; Kirane, Mokhtar; Tatar, Nasser-eddine
2004
Exponential growth for a fractionally damped wave equation. Zbl 1029.35177
Kirane, M.; Tatar, N.-e.
2003
On weak solutions for generalized Oldroyd model for laminar and turbulent flows of nonlinear viscous-elastic fluid. Zbl 1048.35077
Dmitrienko, Vladimir T.; Kirane, Mokhtar; Zvyagin, Victor G.
2003
Global nonexistence for the Cauchy problem of some nonlinear reaction-diffusion systems. Zbl 1006.35011
Kirane, Mokhtar; Qafsaoui, Mahmoud
2002
Fujita’s exponent for a semilinear wave equation with linear damping. Zbl 1056.35020
Kirane, Mokhtar; Qafsaoui, Mahmoud
2002
A degenerate diffusion problem with dynamical boundary conditions. Zbl 1001.35072
Igbida, Noureddine; Kirane, Mokhtar
2002
The absence of solutions of elliptic systems with dynamic boundary conditions. Zbl 1290.35119
Kirane, M.; Nabana, E.; Pokhozhaev, S. I.
2002
A nonexistence result for a system of quasilinear degenerate elliptic inequalities in a half-space. Zbl 1007.35033
Kirane, Mokthar; Nabana, Eric
2002
On the asymptotic behavior for convection-diffusion equations associated to higher order elliptic operators in divergence form. Zbl 1031.35052
Kirane, Mokhtar; Qafsaoui, Mahmoud
2002
Blow up for a completely coupled Fujita type reaction-diffusion system. Zbl 0988.35026
Igbida, Noureddine; Kirane, Mokhtar
2002
Local and global nonexistence of solutions to semilinear evolution equations. Zbl 1015.35033
Guedda, Mohammed; Kirane, Mokhtar
2002
Criticality for some evolution equations. Zbl 0996.35007
Guedda, M.; Kirane, M.
2001
...and 31 more Documents
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Cited by 863 Authors

 67 Kirane, Mokhtar 32 Tatar, Nasser-eddine 31 Samet, Bessem 25 Jleli, Mohamed 24 Ahmad, Bashir 20 Al-saedi, Ahmed Eid Salem 20 Nguyen Huy Tuan 15 Messaoudi, Salim A. 12 Torebek, Berikbol Tillabayuly 11 Fino, Ahmad Z. 11 Furati, Khaled M. 10 Feng, Baowei 8 Ntouyas, Sotiris K. 8 Rogovchenko, Yuri V. 8 Slodička, Marián 7 Abdelmalek, Salem 7 Guesmia, Aissa 7 Ishige, Kazuhiro 7 Kerbal, Sebti 7 Malik, Salman A. 7 Sini, Mourad 7 Tokmagambetov, Niyaz Esenzholovich 7 Turmetov, Batirkhan Khudaybergenovich 6 Agarwal, Ravi P. 6 Au, Vo Van 6 Benchohra, Mouffak 6 Bendoukha, Samir 6 Challa, Durga Prasad 6 Fellner, Klemens 6 Liu, Wenjun 6 Xu, Gen-Qi 6 Zhou, Yong 5 Desvillettes, Laurent 5 Fila, Marek 5 Ibrahim, Rabha Waell 5 Kassymov, Aidyn Adilovich 5 Kirane, Mukhtar Bin Muhammad 5 Lopushans’ka, Galyna Petrovna 5 Mustafa, Muhammad Islam 5 Nane, Erkan 5 Park, Jong Yeoul 5 Ruzhansky, Michael V. 5 Said-Houari, Belkacem 5 Šišková, Katarína 5 Yang, Xinguang 5 Youkana, Amar 5 Zhou, Yong 4 Ashyralyev, Allaberen 4 Baranetskyĭ, Yaroslav Omelyanovich 4 Boulaaras, Salah Mahmoud 4 Bulavatskyĭ, Volodymyr M. 4 Can, Nguyen Huu 4 Debbouche, Amar 4 Hao, Jianghao 4 Janno, Jaan 4 Kafini, Mohammad Mustafa 4 Kang, Yong Han 4 Kawakami, Tatsuki 4 Khemmoudj, Ammar 4 Krasnoshchok, Mykola Valeriĭovych 4 Li, Yaning 4 Liu, Gongwei 4 Mesloub, Said 4 Park, SunHye 4 Trong, Dang Duc 4 Vasylyeva, Nataliya V. 4 Wang, Peipei 4 Zhang, Quanguo 3 Al-Salti, Nasser S. 3 Aleroev, Temirkhan Sultanovich 3 Alhothuali, Mohammed Shabab 3 Apalara, Tijani A. 3 Aziz, Sara 3 Choudhury, Anupam Pal 3 Dannawi, Ihab 3 El Hamidi, Abdallah 3 Farid, Ghulam 3 Hakem, Ali 3 Haraux, Alain 3 Igbida, Noureddine 3 Ikeda, Masahiro 3 Ismailov, Mansur I. 3 Iyiola, Olaniyi Samuel 3 Kalenyuk, Petro I. 3 Kang, Jum-Ran 3 Kopach, Mykhaĭlo Ivanovych 3 Kouachi, Said 3 Kritskov, Leonid V. 3 Labidi, Soraya 3 Lan, Kunquan 3 Laskri, Yamina 3 Lassoued, Rafika 3 Li, Gang 3 Li, Tongxing 3 Liu, Yuji 3 Lopushans’kyi, Andriy Olegovich 3 Medveď, Milan 3 Meng, Xinzhu 3 Mezouar, Nadia 3 O’Regan, Donal ...and 763 more Authors
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Cited in 191 Serials

 44 Journal of Mathematical Analysis and Applications 34 Computers & Mathematics with Applications 26 Mathematical Methods in the Applied Sciences 26 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 24 Applied Mathematics and Computation 23 Fractional Calculus & Applied Analysis 19 Advances in Difference Equations 17 ZAMP. Zeitschrift für angewandte Mathematik und Physik 16 Applied Mathematics Letters 13 Journal of Differential Equations 12 Boundary Value Problems 11 Applicable Analysis 10 Journal of Computational and Applied Mathematics 9 Journal of Mathematical Physics 9 Journal of Inequalities and Applications 8 Journal of Integral Equations and Applications 8 Mediterranean Journal of Mathematics 8 Fractional Differential Calculus 7 Journal of Inverse and Ill-Posed Problems 7 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 6 Inverse Problems in Science and Engineering 5 International Journal of Control 5 Inverse Problems 5 Mathematische Nachrichten 5 Proceedings of the American Mathematical Society 5 Zeitschrift für Analysis und ihre Anwendungen 5 Acta Applicandae Mathematicae 5 Discrete and Continuous Dynamical Systems 5 International Journal of Nonlinear Sciences and Numerical Simulation 5 Nonlinear Analysis. Real World Applications 5 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 5 Journal of Function Spaces 4 Chaos, Solitons and Fractals 4 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 4 Cybernetics and Systems Analysis 4 Turkish Journal of Mathematics 4 NoDEA. Nonlinear Differential Equations and Applications 4 Abstract and Applied Analysis 4 Taiwanese Journal of Mathematics 4 Discrete Dynamics in Nature and Society 4 Differential Equations 4 Journal of Evolution Equations 4 Communications on Pure and Applied Analysis 4 Journal of Applied Mathematics and Computing 4 Advances in Mathematical Physics 3 Applied Mathematics and Optimization 3 Monatshefte für Mathematik 3 Quarterly of Applied Mathematics 3 Applied Numerical Mathematics 3 Numerical Algorithms 3 Communications in Partial Differential Equations 3 Electronic Journal of Differential Equations (EJDE) 3 Computational and Applied Mathematics 3 Communications in Nonlinear Science and Numerical Simulation 3 Journal of Dynamical and Control Systems 3 Complex Variables and Elliptic Equations 3 Mathematical Modelling of Natural Phenomena 3 Evolution Equations and Control Theory 3 Carpathian Mathematical Publications 3 Nonlinear Analysis. Theory, Methods & Applications 3 Electronic Research Archive 2 Quaestiones Mathematicae 2 Statistics & Probability Letters 2 Optimization 2 Mathematical and Computer Modelling 2 Applied Mathematical Modelling 2 SIAM Journal on Mathematical Analysis 2 Continuum Mechanics and Thermodynamics 2 Calculus of Variations and Partial Differential Equations 2 Integral Transforms and Special Functions 2 Complexity 2 Boletín de la Sociedad Matemática Mexicana. Third Series 2 Mathematical Problems in Engineering 2 Journal of Applied Analysis 2 Novi Sad Journal of Mathematics 2 Matematychni Studiï 2 Acta Mathematica Sinica. English Series 2 Communications in Contemporary Mathematics 2 Multiscale Modeling & Simulation 2 Analysis and Applications (Singapore) 2 Complex Analysis and Operator Theory 2 Inverse Problems and Imaging 2 Journal of Mathematical Inequalities 2 International Journal of Biomathematics 2 Journal of Nonlinear Science and Applications 2 Vestnik Yuzhno-Ural’skogo Gosudarstvennogo Universiteta. Seriya Matematicheskoe Modelirovanie i Programmirovanie 2 Ufimskiĭ Matematicheskiĭ Zhurnal 2 Arabian Journal of Mathematics 2 Palestine Journal of Mathematics 2 Journal of Mathematics 2 Nonautonomous Dynamical Systems 2 Computational Methods for Differential Equations 1 International Journal of Modern Physics B 1 Archive for Rational Mechanics and Analysis 1 Communications in Mathematical Physics 1 Mathematical Notes 1 Nonlinearity 1 Physica A 1 Rocky Mountain Journal of Mathematics 1 Ukrainian Mathematical Journal ...and 91 more Serials
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Cited in 39 Fields

 508 Partial differential equations (35-XX) 125 Ordinary differential equations (34-XX) 89 Real functions (26-XX) 77 Mechanics of deformable solids (74-XX) 63 Numerical analysis (65-XX) 59 Systems theory; control (93-XX) 43 Operator theory (47-XX) 41 Integral equations (45-XX) 38 Biology and other natural sciences (92-XX) 19 Fluid mechanics (76-XX) 19 Classical thermodynamics, heat transfer (80-XX) 13 Difference and functional equations (39-XX) 12 Dynamical systems and ergodic theory (37-XX) 11 Probability theory and stochastic processes (60-XX) 9 Special functions (33-XX) 8 Calculus of variations and optimal control; optimization (49-XX) 5 Harmonic analysis on Euclidean spaces (42-XX) 4 Potential theory (31-XX) 4 Mechanics of particles and systems (70-XX) 4 Optics, electromagnetic theory (78-XX) 4 Operations research, mathematical programming (90-XX) 3 Topological groups, Lie groups (22-XX) 3 Integral transforms, operational calculus (44-XX) 3 Functional analysis (46-XX) 3 Statistics (62-XX) 2 History and biography (01-XX) 2 Combinatorics (05-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Functions of a complex variable (30-XX) 2 Approximations and expansions (41-XX) 2 Abstract harmonic analysis (43-XX) 2 Computer science (68-XX) 2 Statistical mechanics, structure of matter (82-XX) 2 Geophysics (86-XX) 2 Information and communication theory, circuits (94-XX) 1 Convex and discrete geometry (52-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Mathematics education (97-XX)