## Kirane, Mokhtar

Compute Distance To:
 Author ID: kirane.mokhtar Published as: Kirane, Mokhtar; Kirane, M.; Kirane, Mukhtar Bin Muhammad; Kirane, Mokthar; Mokhtar, Kirane Homepage: https://www.ku.ac.ae/college-people/dr-mokhtar-kirane External Links: MGP · ORCID · Google Scholar · ResearchGate · dblp · IdRef · theses.fr
 Documents Indexed: 194 Publications since 1983 1 Contribution as Editor Co-Authors: 118 Co-Authors with 189 Joint Publications 2,276 Co-Co-Authors
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### Serials

 25 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 8 Fractional Calculus & Applied Analysis 6 Applied Mathematics and Computation 6 Applied Mathematics Letters 5 Zeitschrift für Analysis und ihre Anwendungen 4 Applicable Analysis 4 ZAMP. Zeitschrift für angewandte Mathematik und Physik 4 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 4 Abstract and Applied Analysis 3 Quaestiones Mathematicae 3 Acta Applicandae Mathematicae 3 Journal of Integral Equations and Applications 3 Journal of Nonlinear Science and Applications 2 Inverse Problems 2 Journal of Computational and Applied Mathematics 2 Mathematische Nachrichten 2 Quarterly of Applied Mathematics 2 Sibirskiĭ Matematicheskiĭ Zhurnal 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 Bulletin of the Malaysian Mathematical Sciences Society. Second Series 2 Communications on Pure and Applied Analysis 2 Mediterranean Journal of Mathematics 2 Complex Variables and Elliptic Equations 2 Bulletin of Mathematical Sciences 2 Advances in Nonlinear Analysis 2 Nonlinear Analysis. Theory, Methods & Applications 1 IMA Journal of Applied Mathematics 1 Chaos, Solitons and Fractals 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 European Journal of Operational Research 1 The Canadian Applied Mathematics Quarterly 1 Applicationes Mathematicae 1 Journal of Mathematical Sciences (New York) 1 Bulletin of the Belgian Mathematical Society - Simon Stevin 1 Georgian Mathematical Journal 1 Filomat 1 Journal of Inverse and Ill-Posed Problems 1 NoDEA. Nonlinear Differential Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Taiwanese Journal of Mathematics 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 Acta Mathematica Scientia. Series B. (English Edition) 1 Hacettepe Journal of Mathematics and Statistics 1 Boletim da Sociedade Paranaense de Matemática. Terceira Série 1 Journal of Mathematical Inequalities 1 Mathematical Modelling of Natural Phenomena 1 Applied and Computational Mathematics 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
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### Fields

 166 Partial differential equations (35-XX) 34 Real functions (26-XX) 32 Ordinary differential equations (34-XX) 23 Operator theory (47-XX) 14 Biology and other natural sciences (92-XX) 12 Integral equations (45-XX) 9 Numerical analysis (65-XX) 8 Fluid mechanics (76-XX) 5 Mechanics of deformable solids (74-XX) 5 Classical thermodynamics, heat transfer (80-XX) 4 Difference and functional equations (39-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Functional analysis (46-XX) 3 Systems theory; control (93-XX) 2 Special functions (33-XX) 2 Dynamical systems and ergodic theory (37-XX) 1 General and overarching topics; collections (00-XX) 1 Combinatorics (05-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) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Probability theory and stochastic processes (60-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX)

### Citations contained in zbMATH Open

148 Publications have been cited 1,219 times in 822 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
An inverse problem for a generalized fractional diffusion. Zbl 1338.35493
Furati, Khaled M.; Iyiola, Olaniyi S.; Kirane, Mokhtar
2014
Qualitative properties of solutions to a time-space fractional evolution equation. Zbl 1253.26008
Fino, Ahmad Z.; Kirane, Mokhtar
2012
Criticality for some evolution equations. Zbl 0996.35007
Guedda, M.; Kirane, M.
2001
The profile of blowing-up solutions to a nonlinear system of fractional differential equations. Zbl 1205.26013
Kirane, Mokhtar; Malik, Salman A.
2010
Estimations $$C^ 1$$ pour des problèmes paraboliques semi-linéaires. Zbl 0531.35048
Haraux, A.; Kirane, M.
1983
Global nonexistence for the Cauchy problem of some nonlinear reaction-diffusion systems. Zbl 1006.35011
Kirane, Mokhtar; Qafsaoui, Mahmoud
2002
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
Maximum principle for certain generalized time and space fractional diffusion equations. Zbl 1328.35271
Alsaedi, Ahmed; Ahmad, Bashir; Kirane, Mokhtar
2015
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
Lyapunov-type inequalities for fractional partial differential equations. Zbl 1362.35322
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2017
A note on nonexistence of global solutions to a nonlinear integral equation. Zbl 0953.45006
Guedda, M.; Kirane, M.
1999
Necessary conditions for the existence of global solutions to systems of fractional differential equations. Zbl 1196.26012
Furati, K. M.; Kirane, M.
2008
Global bounds and asymptotics for a system of reaction-diffusion equations. Zbl 0681.35045
Kirane, Mokhtar
1989
Blow-up for some equations with semilinear dynamical boundary conditions of parabolic and hyperbolic type. Zbl 0799.35027
Kirane, M.
1992
A memory type boundary stabilization of a mildly damped wave equation. Zbl 0945.35053
Kirane, Mokhtar; Tatar, Nasser-eddine
1999
Fujita’s exponent for a semilinear wave equation with linear damping. Zbl 1056.35020
Kirane, Mokhtar; Qafsaoui, Mahmoud
2002
Inverse problems for a nonlocal wave equation with an involution pertubation. Zbl 1327.35440
Kirane, Mokhtar; Al-Salti, Nasser
2016
Non-existence results for a semilinear hyperbolic problem with boundary condition of memory type. Zbl 0986.35071
Kirane, M.; Tatar, N.-e.
2000
On a time fractional reaction diffusion equation. Zbl 1338.35456
Ahmad, B.; Alhothuali, M. S.; Alsulami, H. H.; Kirane, M.; Timoshin, S.
2015
Global solutions of reaction-diffusion systems with a balance law and nonlinearities of exponential growth. Zbl 0970.35073
Kanel, J. I.; Kirane, M.
2000
Oscillation results for a second order damped differential equation with nonmonotonous nonlinearity. Zbl 1008.34029
Kirane, Mokhtar; Rogovchenko, Yuri V.
2000
On oscillation of nonlinear second order differential equation with damping term. Zbl 1035.34019
Kirane, Mokhtar; Rogovchenko, Yuri V.
2001
Exponential growth for a fractionally damped wave equation. Zbl 1029.35177
Kirane, M.; Tatar, N.-e.
2003
A survey of useful inequalities in fractional calculus. Zbl 1367.26016
Alsaedi, Ahmed; Ahmad, Bashir; 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
Comparison results for systems of impulse parabolic equations with applications to population dynamics. Zbl 0865.35007
Kirane, Mokhtar; Rogovchenko, Yuri V.
1997
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 degenerate diffusion problem with dynamical boundary conditions. Zbl 1001.35072
Igbida, Noureddine; Kirane, Mokhtar
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
Nonexistence of solutions to a hyperbolic equation with a time fractional damping. Zbl 1106.26009
Kirane, Mokhtar; Tatar, Nasser-Eddine
2006
Nonexistence of global solutions to an elliptic equation with a dynamical boundary condition. Zbl 1374.35176
Kirane, Mokhtar; Nabana, Eric; Pohozaev, Stanislav I.
2004
Uniform and weak stability of Bresse system with two infinite memories. Zbl 1379.35023
Guesmia, Aissa; Kirane, Mokhtar
2016
On the nonexistence of blowing-up solutions to a fractional functional-differential equation. Zbl 1244.34099
Kirane, Mokhtar; Medveď, Milan; Tatar, Nasser-eddine
2012
Global solutions to a system of strongly coupled reaction-diffusion equations. Zbl 0924.35064
Kirane, Mokhtar; Kouachi, Said
1996
Global existence and stability of some semilinear problems. Zbl 1048.34102
Kirane, M.; Tatar, N.-E.
2000
Extremum principle for the Hadamard derivatives and its application to nonlinear fractional partial differential equations. Zbl 1423.35402
Kirane, Mokhtar; Torebek, Berikbol T.
2019
The absence of solutions of elliptic systems with dynamic boundary conditions. Zbl 1290.35119
Kirane, M.; Nabana, E.; Pokhozhaev, S. I.
2002
The equivalent refraction index for the acoustic scattering by many small obstacles: with error estimates. Zbl 1305.76094
2015
Global existence and asymptotic behavior for a time fractional reaction-diffusion system. Zbl 1409.35210
Alsaedi, Ahmed; Kirane, Mokhtar; Lassoued, Rafika
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
Blowing-up solutions of the time-fractional dispersive equations. Zbl 1467.35060
Alsaedi, Ahmed; Ahmad, Bashir; Kirane, Mokhtar; Torebek, Berikbol T.
2021
Qualitative properties of solutions to a nonlocal evolution system. Zbl 1218.35119
Fino, Ahmad Z.; Kirane, Mokhtar
2011
Semilinear Volterra integrodifferential problems with fractional derivatives in the nonlinearities. Zbl 1217.45001
Kirane, Mokhtar; Medveď, Milan; Tatar, Nasser-Eddine
2011
Nonexistence results of solutions to systems of semilinear differential inequalities on the Heisenberg group. Zbl 1133.35354
El Hamidi, Abdallah; Kirane, Mokhtar
2004
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
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
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
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
Lyapunov-type inequalities for a fractional $$p$$-Laplacian system. Zbl 1391.35394
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2017
Convergence rates for a reaction-diffusion system. Zbl 0984.35080
Kirane, M.; Tatar, N.-e.
2001
Boundary-value problems for differential equations of fractional order. Zbl 1286.34006
Aleroev, Temirkhan Sultanovich; Kirane, Mokhtar; Tang, Yi-Fa
2013
Nonexistence of global solutions to a hyperbolic equation with a space-time fractional damping. Zbl 1079.35073
Kirane, M.; Laskri, Y.
2005
A nonexistence result to a Cauchy problem in nonlinear one-dimensional thermoelasticity. Zbl 0972.35010
Kirane, Mokhtar; Tatar, Nasser-eddine
2001
On a backward problem for multidimensional Ginzburg-Landau equation with random data. Zbl 1474.65332
Kirane, Mokhtar; Nane, Erkan; Tuan, Nguyen Huy
2018
Nonexistence results for the Cauchy problem of time fractional nonlinear systems of thermo-elasticity. Zbl 1370.35203
Ahmad, B.; Alsaedi, A.; Kirane, M.
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
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 solvability of a boundary value problem for the Poisson equation with a nonlocal boundary operator. Zbl 1349.35078
Kadirkulov, B. J.; Kirane, M.
2015
Life span of solutions to a nonlocal in time nonlinear fractional Schrödinger equation. Zbl 1322.35127
Kirane, M.; Nabti, A.
2015
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
Blowing-up solutions to systems of fractional differential and integral equations with exponential non-linearities. Zbl 1333.35325
Kadem, A.; Kirane, M.; Kirk, C. M.; Olmstead, W. E.
2014
Nonlinear fractional differential equations of Sobolev type. Zbl 1302.35396
Alsaedi, Ahmed; Alhothuali, Mohammed S.; Ahmad, Bashir; Kerbal, Sebti; Kirane, Mokhtar
2014
Global existence and large time behavior of positive solutions to a reaction diffusion system. Zbl 1038.35031
Kanel, Jacob Isaac; Kirane, Mokhtar
2000
On an inverse problem of reconstructing a subdiffusion process from nonlocal data. Zbl 1414.35103
Kirane, Mokhtar; Sadybekov, Makhmud A.; Sarsenbi, Abdisalam A.
2019
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
Blowing-up solutions for a nonlinear time-fractional system. Zbl 1375.35593
Alsaedi, Ahmed; Ahmad, Bashir; Kirane, Mukhtar Bin Muhammad; Al Musalhi, Fatma S. K.; Alzahrani, Faris
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
Nonexistence results for the Cauchy problem for nonlinear ultraparabolic equations. Zbl 1223.35212
Kerbal, Sebti; Kirane, Mokhtar
2011
Nonexistence results for a pseudo-hyperbolic equation in the Heisenberg group. Zbl 1336.35345
Kirane, Mokhtar; Ragoub, Lakhdar
2015
Temperature growth and temperature bounds in special cases of combustion models. Zbl 0791.35062
Avrin, Joel D.; Kirane, Mokhtar
1993
Blowing-up solutions to two-times fractional differential equations. Zbl 1284.35087
Kirane, Mokhtar; Kadem, Abdelouhab; Debbouche, Amar
2013
Nonexistence of global solutions of some quasilinear hyperbolic equations with dynamic boundary conditions. Zbl 0884.35085
Kirane, M.; Kouachi, S.; Tatar, N.
1995
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
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
Nonexistence results for a class of evolution equations in the Heisenberg group. Zbl 1312.47090
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2015
Diffusion terms in systems of reaction diffusion equations can lead to blow up. Zbl 0986.35050
Guedda, M.; Kirane, M.
1998
A nonexistence result for a system of quasilinear degenerate elliptic inequalities in a half-space. Zbl 1007.35033
Kirane, Mokthar; Nabana, Eric
2002
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
Identifying initial condition of the Rayleigh-Stokes problem with random noise. Zbl 1419.35221
Nguyen, Hoang Luc; Nguyen, Huy Tuan; Mokhtar, Kirane; Dang, Xuan Thanh Duong
2019
On nonlinear nonlocal systems of reaction diffusion equations. Zbl 1474.35627
Ahmad, B.; Alhothuali, M. S.; Alsulami, H. H.; Kirane, M.; Timoshin, S.
2014
A nonlocal fractional Helmholtz equation. Zbl 1424.35348
Kirane, Mokhtar; Turmetov, Batirkhan Kh.; Torebek, Berikbol T.
2017
A derivative concept with respect to an arbitrary kernel and applications to fractional calculus. Zbl 07031003
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2019
Initial-boundary value problems for a time-fractional differential equation with involution perturbation. Zbl 1419.35235
Al-Salti, Nasser; Kerbal, Sebti; Kirane, Mokhtar
2019
Asymptotic behaviour for a system describing epidemics with migration and spatial spread of infection. Zbl 0776.35026
Kirane, M.; Kouachi, S.
1993
Oscillatory behaviour of solutions of coupled hyperbolic differential equations. Zbl 0819.35131
Parhi, N.; Kirane, M.
1994
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
A cluster of many small holes with negative imaginary surface impedances may generate a negative refraction index. Zbl 1375.35285
Alsaedi, Ahmed; Ahmad, Bashir; Challa, Durga Prasad; Kirane, Mokhtar; Sini, Mourad
2016
Infinitely many weak solutions for $$p(x)$$-Laplacian-like problems with Neumann condition. Zbl 1393.35038
Afrouzi, Ghasem A.; Kirane, Mokhtar; Shokooh, Saeid
2018
Blow-up of solutions for semilinear fractional Schrödinger equations. Zbl 1393.35220
Fino, A. Z.; Dannawi, I.; Kirane, M.
2018
Lyapunov-type inequalities for fractional quasilinear problems via variational methods. Zbl 1412.35013
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2017
Extended global asymptotic stability conditions for a generalized reaction-diffusion system. Zbl 1415.35150
Abdelmalek, Salem; Bendoukha, Samir; Rebiai, Belgacem; Kirane, Mokhtar
2019
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
Blow up for a completely coupled Fujita type reaction-diffusion system. Zbl 0988.35026
Igbida, Noureddine; Kirane, Mokhtar
2002
Blowing-up solutions of the time-fractional dispersive equations. Zbl 1467.35060
Alsaedi, Ahmed; Ahmad, Bashir; Kirane, Mokhtar; Torebek, Berikbol T.
2021
Maximum principle for space and time-space fractional partial differential equations. Zbl 1469.35070
Kirane, Mokhtar; Torebek, Berikbol T.
2021
Local and global existence of mild solutions of time-fractional Navier-Stokes system posed on the Heisenberg group. Zbl 1466.35288
Kirane, Mokhtar; Aimene, Djihad; Seba, Djamila
2021
On the sub-diffusion fractional initial value problem with time variable order. Zbl 1471.34016
Cuesta, Eduardo; Kirane, Mokhtar; Alsaedi, Ahmed; Ahmad, Bashir
2021
The global existence and asymptotic stability of solutions for a reaction-diffusion system. Zbl 1429.35116
Bendoukha, Samir; Abdelmalek, Salem; Kirane, Mokhtar
2020
The Cauchy problem for heat equation with fractional Laplacian and exponential nonlinearity. Zbl 1448.35271
Fino, Ahmad Z.; Kirane, Mokhtar
2020
On Lyapunov-type inequalities for a certain class of partial differential equations. Zbl 1433.35042
Jleli, M.; Kirane, M.; Samet, B.
2020
Blow-up of smooth solutions of the time-fractional Burgers equation. Zbl 1439.35231
Alsaedi, Ahmed; Kirane, Mokhtar; Torebek, Berikbol T.
2020
Existence of global solutions and blow-up of solutions for coupled systems of fractional diffusion equations. Zbl 1454.35408
Ahmad, Bashir; Alsaedi, Ahmed; Berbiche, Mohamed; Kirane, Mokhtar
2020
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
On an inverse problem of reconstructing a subdiffusion process from nonlocal data. Zbl 1414.35103
Kirane, Mokhtar; Sadybekov, Makhmud A.; Sarsenbi, Abdisalam A.
2019
Identifying initial condition of the Rayleigh-Stokes problem with random noise. Zbl 1419.35221
Nguyen, Hoang Luc; Nguyen, Huy Tuan; Mokhtar, Kirane; Dang, Xuan Thanh Duong
2019
A derivative concept with respect to an arbitrary kernel and applications to fractional calculus. Zbl 07031003
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2019
Initial-boundary value problems for a time-fractional differential equation with involution perturbation. Zbl 1419.35235
Al-Salti, Nasser; Kerbal, Sebti; Kirane, Mokhtar
2019
Extended global asymptotic stability conditions for a generalized reaction-diffusion system. Zbl 1415.35150
Abdelmalek, Salem; Bendoukha, Samir; Rebiai, Belgacem; Kirane, Mokhtar
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
Existence and uniqueness of mild solution of time-fractional semilinear differential equations with a nonlocal final condition. Zbl 1442.35529
Tuan, Nguyen Huy; Ngoc, Tran Bao; Huynh, Le Nhat; Kirane, Mokhtar
2019
On local existence and blowup of solutions for a time-space fractional diffusion equation with exponential nonlinearity. Zbl 1414.35254
Bekkai, Achouak; Rebiai, Belgacem; Kirane, Mokhtar
2019
Blow-up results for higher-order evolution differential inequalities in exterior domains. Zbl 1419.35258
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
2019
Local and blowing-up solutions for a space-time fractional evolution system with nonlinearities of exponential growth. Zbl 1423.35387
Alsaedi, Ahmed; Ahmad, Bashir; Kirane, Mokhtar; Rebiai, Belgacem
2019
On a class of inverse problems for a heat equation with involution perturbation. Zbl 07409458
Al-Salti, Nasser; Kirane, Mokhtar; Torebek, Berikbol T.
2019
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
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
On a backward problem for multidimensional Ginzburg-Landau equation with random data. Zbl 1474.65332
Kirane, Mokhtar; Nane, Erkan; Tuan, Nguyen Huy
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
Blow-up of solutions for semilinear fractional Schrödinger equations. Zbl 1393.35220
Fino, A. Z.; Dannawi, I.; Kirane, M.
2018
A Lyapunov-type inequality for a fractional boundary value problem with Caputo-Fabrizio derivative. Zbl 1409.34010
Kirane, Mokhtar; Torebek, Berikbol T.
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
Discussion of some inequalities via fractional integrals. Zbl 1387.26033
Kirane, Mokhtar; Samet, Bessem
2018
On the absence of global weak solutions for some differential inequalities of Sobolev type in an exterior domain. Zbl 1394.35589
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
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
A triangular nonlinear reaction-fractional diffusion system with a balance law. Zbl 1388.35002
Alsaedi, Ahmed; Al-Yami, Maryam; Kirane, Mokhtar; Momenkhan, Faten
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
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
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
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
Lyapunov-type inequalities for a fractional $$p$$-Laplacian system. Zbl 1391.35394
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
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
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
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
Blowing-up solutions for a nonlinear time-fractional system. Zbl 1375.35593
Alsaedi, Ahmed; Ahmad, Bashir; Kirane, Mukhtar Bin Muhammad; Al Musalhi, Fatma S. K.; Alzahrani, Faris
2017
A nonlocal fractional Helmholtz equation. Zbl 1424.35348
Kirane, Mokhtar; Turmetov, Batirkhan Kh.; Torebek, Berikbol T.
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
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 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 of global solutions for fractional temporal Schrödinger equations and systems. (Nonexistence of global solutions for fractional temporal Schrodinger equations and systems.) Zbl 1375.35594
Azman, Ibtehal; Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
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
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
A cluster of many small holes with negative imaginary surface impedances may generate a negative refraction index. Zbl 1375.35285
Alsaedi, Ahmed; Ahmad, Bashir; Challa, Durga Prasad; Kirane, Mokhtar; Sini, Mourad
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
Extraction of the index of refraction by embedding multiple small inclusions. Zbl 1398.76206
Alsaedi, Ahmed; Alzahrani, Faris; Challa, Durga Prasad; Kirane, Mokhtar; Sini, Mourad
2016
Global existence of solutions to a nonlinear anomalous diffusion system. Zbl 1381.35207
Ahmad, Bashir; Alsaedi, Ahmed; Kirane, Mokhtar
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 a reaction diffusion equation with nonlinear time-nonlocal source term. Zbl 1334.35092
Ahmad, Bashir; Alsaedi, Ahmed; Kirane, Mokhtar
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
Blow-up phenomena for second-order differential inequalities with shifted arguments. Zbl 1345.34133
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
On solvability of a boundary value problem for the Poisson equation with a nonlocal boundary operator. Zbl 1349.35078
Kadirkulov, B. J.; Kirane, M.
2015
Life span of solutions to a nonlocal in time nonlinear fractional Schrödinger equation. Zbl 1322.35127
Kirane, M.; Nabti, A.
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
Nonexistence results for a pseudo-hyperbolic equation in the Heisenberg group. Zbl 1336.35345
Kirane, Mokhtar; Ragoub, Lakhdar
2015
Nonexistence results for a class of evolution equations in the Heisenberg group. Zbl 1312.47090
Jleli, Mohamed; Kirane, Mokhtar; Samet, Bessem
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
Blowing-up solutions to systems of fractional differential and integral equations with exponential non-linearities. Zbl 1333.35325
Kadem, A.; Kirane, M.; Kirk, C. M.; Olmstead, W. E.
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 1474.35627
Ahmad, B.; Alhothuali, M. S.; Alsulami, H. H.; Kirane, M.; Timoshin, S.
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
Boundary-value problems for differential equations of fractional order. Zbl 1286.34006
Aleroev, Temirkhan Sultanovich; Kirane, Mokhtar; Tang, Yi-Fa
2013
Blowing-up solutions to two-times fractional differential equations. Zbl 1284.35087
Kirane, Mokhtar; Kadem, Abdelouhab; Debbouche, Amar
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
Fino, Ahmad Z.; Kirane, Mokhtar
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
Qualitative properties of solutions to a nonlocal evolution system. Zbl 1218.35119
Fino, Ahmad Z.; Kirane, Mokhtar
2011
Semilinear Volterra integrodifferential problems with fractional derivatives in the nonlinearities. Zbl 1217.45001
Kirane, Mokhtar; Medveď, Milan; Tatar, Nasser-Eddine
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
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