Publications

:Publications

N.-e. Tatar, Hopfield neural networks with unbounded monotone activation functions, To appear in adv.Neural Netw. Syst.
N.-e. Tatar, On a non-dissipative Kirchhoff viscoelastic problem, To appear in J. Contemporary Math. Anal.
N.-e. Tatar, How to deal with nonlinear terms in the non-dissipative case, African Diaspora Journal of Mathematics, 14 (1) (2012), 39-53.
N.-e. Tatar, Mild and classical solutions to a fractional singular second order evolution problem, Electron. Journal of Qual. Theory Diff. Eqs. 91 (2012), 1-24.
N.-e. Tatar, Existence of mild solutions for a neutral fractional equation with fractional nonlocal conditions, Electron. J. Diff. Eqs, Vol 2012, No. 153 (2012), 1-12.
N.-e. Tatar, Asymptotic behavior for a non-dissipative and non-linear system of Kirchhoff viscoelastic type, Journal of Applied Mathematics Vol. 2012 Article ID 936140, 17 pages.
N.-e. Tatar, On a second-order differential problem with fractional derivatives of order greater than one, To appear in Math. Model. Analysis.
M. Kassim, K. Furati and N.-e. Tatar, On a differential equation involving Hilfer-Hadamard fractional derivative, To appear in Abstr. Appl. Anal., 2012.
N.-e. Tatar, Viscoelastic Timoshenko beams with occasionally constant relaxation functions, Appl. Math. Optim. DOI 10.1007/s00245-012-9167-z.
N.-e. Tatar, A new class of kernels leading to an arbitrary decay in viscoelasticity, Mediterr. J. Math. DOI 10.1007/s00009-012-0177-5, 2012.
M. Kirane, M. Medved and N.-e. Tatar: On the nonexistence of blowing-up solutions to a fractional functional-differential equation, Georgian Math. J. Vol. 19 No. 1 (2012), 127-144.
N.-e. Tatar, Uniform decay in viscoelasticity for kernels with small non-decreasingness zones, Appl. Math. Comput. 218 (2012), 7939-7946.
N.-e. Tatar, Oscillating kernels and arbitrary decays in viscoelasticity, To appear in Math. Nachr. (2012), 1-14. DOI. 10.1002/mana.201000053.
K. Furati, M. Kassim and N.-e. Tatar, Existence and uniqueness for a problem involving Hilfer fractional derivative, Computers Math. Appl. (2012).
N.-e. Tatar and A. Zarai: On a Kirchhoff equation with Balakrishnan-Taylor damping and source term, Dynam. Cont. Discrete Impul. Syst. A: Math. Anal. 18 (2011), 615-627.
N.-e. Tatar: Arbitrary decays in linear viscoelasticity, Journal Math. Physics 52 (1) (2011), 013502.
M. Kafini, S. Messaoudi and N.-e. Tatar: Decay rate of solutions for a Cauchy viscoelastic evolution equation, Indag. Math. 22 (2011), 103-115.
N.-e. Tatar: Well-posedness for an abstract semilinear integro-differential fractional problem, Mediterranean Journal of Mathematics, Published online 10 august 2010.
N.-e. Tatar: Stabilization of a viscoelastic Timoshenko beam, To appear in Applicable Analysis.
L. Fahim and N.-e. Tatar: Singular integrodifferential inequalities and application to fractional differential problems, Math. Ineq. Appl. Online.
N.-e. Tatar: Arbitrary decays in linear viscoelasticity, Journal Math. Physics 52 (1) (2011), 013502.
A. Djebabla and N.-e. Tatar: Exponential stabilization of the Timoshenko system by a thermal effect with oscillating kernel, Mathematical Computer Modelling, 54 No. 1-2 (2011), 301-314.
N.-e. Tatar: Mild solutions for a problem involving fractional derivatives in the nonlinearity and in the nonlocal conditions, Adv. Diff. Eqs. 2011 No.18 (2011), 1-12.
M. Kirane, M. Medved and N.-e. Tatar: Semilinear Volterra integrodifferential problems with fractional derivatives in the nonlinearities, Abst. Appl. Anal. Article ID 510314 (2011), 1-11.
S. Labidi and N.-e. Tatar: Blow up of solutions for a nonlinear beam equation with fractional feedback, Nonl. Anal. T.M.A. 74 (2011), 1402-1409.
N.-e. Tatar and A. Zarai: Exponential stability and blow up for a problem with Balakrishnan-Taylor damping, Demonstratio Mathematica Vol. XLIV, No. 1 (2011), 67-90.
N.-e. Tatar: On a perturbed kernel in viscoelasticity, Applied Mathematics Letters 24 (5) (2011), 766-770.
N.-e. Tatar: Existence results for an evolution problem with fractional nonlocal conditions, Computers and Mathematics with Applications, 60 (2010), 2971-2982.
N.-e. Tatar: The existence of mild and classical solutions for a second-order abstract fractional problem, Nonl. Anal. T.M.A. 73 (2010), 3130-3139.
N.-e. Tatar: Well-posedness for an abstract semilinear Volterra integro-fractional-differential problem, Comm. Appl. Anal. 14 (2010), 491-505.
M. Kafini and N.-e. Tatar: A decay result to a viscoelastic problem in Rn with an oscillating kernel, J. Math. Physics 51 (7) 073506, (2010), 1-13.
A. Zarai and N.-e. Tatar: Global existence and polynomial decay for a problem with Balakrishnan-Taylor damping, Archivum Mathematicum (BRNO) 46 (2010), 157-176.
A. Djebabla and N.-e. Tatar: Stabilization of the Timoshenko beam with thermal effect, Mediterranean Journal of Mathematics 7 (2010), 373-385.
A. Djebabla and N.-e. Tatar: Exponential stabilization of the Timoshenko system by a thermo-viscoelastic damping, Journal of Dynamical and Control Systems 16 (2), (2010), 189-210.
Y. Laskri and N.-e. Tatar: The critical exponent for an ordinary fractional differential problem, Computers and Mathematics with Applications 59 (2010), 1266-1270.
N.-e. Tatar: On a boundary controller of fractional type, Nonl. Anal.: T. M. A. 72 (6), (2010), 3209-3215.
S. Mazouzi and N.-e. Tatar: New bounds for solutions of a singular integro-differential inequality, Mathematical Inequalities and Applications Vol. 13 (2) (2010), 427-435.
N.-e. Tatar: On a large class of kernels yielding exponential stability in viscoelasticity, Appl. Math. Comp. 215 (6), (2009), 2298-2306.
K. M. Furati and N.-e. Tatar: Inequalities for fractional differential equations, Math. Ineq. Appl. Vol. 12 (2) (2009), 279-293.
N.-e. Tatar: Exponential decay for a viscoelastic problem with a singular problem, Zeit. Angew. Math. Phys., Vol. 60 No. 4 (2009), 640-650.
K. M. Furati and N.-e. Tatar: Inequalities for fractional differential equations, Math. Ineq. Appl. Vol. 12 (2) (2009), 279-293.
N.-e. Tatar: How far can relaxation functions be increasing in viscoelastic problems, Applied Math. Letters Vol. 22 No. 3 (2009), 336-340.
M. Kouche, N.-e. Tatar and S. Liu: Permanence and existence of a positive periodic solution to a periodic stage-structured system with infinite delay, Applied Math. Computation 202 (2) (2008), 620-638.
N.-e. Tatar: Polynomial stability without polynomial decay of the relaxation function, Math. Meth. Appl. Sci. 31 (15), 2008, 1874-1886.
M. Messaoudi and N.-e. Tatar: Uniform stabilization of solutions of a nonlinear system of viscoelastic equations, Applicable Analysis 87 (3) (2008), 247-263.
M. Messaoudi and N.-e. Tatar: Exponential decay for a quasilinear viscoelastic equation, Accepted to appear in Math. Nachr.
N.-e. Tatar: Nonexistence results for a fractional problem arising in thermal diffusion in fractal media, Chaos, Solitons and Fractals 36 (2008), 1205-1214.
S. Labidi and N.-e. Tatar: Blow up for the Euler-Bernoulli beam problem with a fractional boundary condition, Dynamic Systems and Applications 17 (2008), 109-120.
M. Messaoudi and N.-e. Tatar: Exponential and polynomial decay for a quasilinear viscoelastic equation, Nonlinear Analysis TMA, Vol. 68 Issue 4 (2008), 785-793.
S. Labidi and N.-e. Tatar: Breakdown for a Kirchhoff type beam with a fractional boundary feedback, J. Dynamical and Control Systems, Vol. 14 No. 1 (2008), 71-94.
M. Kirane and N.-e. Tatar: Nonexistence for the Laplace equation with a dynamical boundary condition of fractional type, Siberian Mathematical Journal Vol. 48, No. 5 (2007), 849-856.
S. Messaoudi, B. Said-Houari and N.-e. Tatar: Global existence and asymptotic behavior for a fractional differential equation, Appl. Math. Comput. Vol. 188 (2007), 1955-1962.
K. M. Furati and N.-e. Tatar: Long time behaviour for a nonlinear fractional model, Journal of Mathematical Analysis and Applications, Vol. 332, Issue 1 (2007), 441-454.
M. Medjden and N.-e. Tatar: On the Wave Equation with a Temporal Non-local Term, Dynamic Systems and Applications Vol. 16 (2007), 665-672.
M. Kirane and N.-e. Tatar: Absence of local and global solutions to an elliptic system with time-fractional dynamical boundary conditions, Siberian Mathematical Journal Vol. 48, No. 3 (2007), 477-488.
S. Messaoudi and N.-e. Tatar: Global existence and uniform stability of solutions for a quasilinear viscoelastic problem, Math. Meth. Appl. Sci. Vol. 30 (2007), 665-680.
M. Kouche and N.-e. Tatar: Existence and global attractivity of a periodic solution to a nonautonomous dispersal system with delays, Applied Mathematical Modelling, Vol. 31, Issue 4 (2007), 780-793.
K.M. Furati and N.-e. Tatar: Some fractional differential inequalities and their applications, Mathematical Inequalities and Applications, Abstract available online Vol. 9, Issue 4 ( 2006), 577-598.

N.-e. Tatar: An impulsive nonlinear singular version of the Gronwall-Bihari inequality, Journal of Inequalities and Applications, Vol. 2006, Article ID 84561 (2006), 1-12. PDF
M. Kirane and N.-e. Tatar: Nonexistence of solutions to a hyperbolic equation with a time fractional damping, Zeitschrift fur Analysis und ihre Anwendungen (J. Anal. Appl.) 25 (2006) 2, 131-142. PDF

N.-e. Tatar: The role of an integral inequality in the study of certain differential equations, J. Ineq. Pure and Appl. Math. Vol. 6, Issue 5, 136 (2005), 1-13. PDF
M. Kirane, Y. Laskri and N.-e. Tatar: Critical exponents of Fujita type for certain evolution equations and systems with spatio-temporal fractional derivatives, J. Math. Anal. Appl. 312 (2005), No. 2, 488-501. PDF
K.M. Furati and N.-e. Tatar: Behavior of solutions for a weighted Cauchy-type fractional differential problem, J. Fract. Calc. 28 (2005), 23-42. PDF
N.-e. Tatar: A blow up result for a fractionally damped wave equation, Nonl. Diff. Eqs. Appl. (NoDEA) Vol. 12, No. 2 (2005), 215-226. PDF
M. Medjden and N.-e. Tatar: Asymptotic behavior for a viscoelastic problem with not necessarily decreasing kernel, Appl. Math. Comp. Vol. 167 (2005), 1221-1235. PDF
K.M. Furati and N.-e. Tatar: Uniform boundedness and stability for a viscoelastic problem, Appl. Math. Comp. Vol. 167 (2005), 1211-1220. PDF
M.R. Alaimia and N.-e. Tatar: Blow up for the wave equation with a fractional damping, Journal of Applied Analysis Vol. 11, No. 1 (2005), 133-144. PDF
N.-e. Tatar: Asymptotic behavior for a nonlinear viscoelastic problem with a velocity-dependent material density, Int. J. Math. Math. Sci., No. 10 (2005), 1497-1506. doi:10.1155/IJMMS.2005.1497 PDF
K.M. Furati and N.-e. Tatar: Power type estimates for a nonlinear fractional differential equation, Nonl. Anal.: TMA, Vol. 62 (2005), 1025-1036. PDF
S. Labidi and N.-e. Tatar: Unboundedness for the Euler-Bernoulli beam equation with a fractional boundary dissipation, Appl. Math. Comp., Vol. 161, Issue 3 (2005), 697-706. PDF
S. Liu and M. Kouche and N.-e. Tatar: Permanence, extinction and global asymptotic stability in a stage structured system with distributed delays, J. Math. Anal. Appl., Vol. 301, Issue 1 (2005), 187-207. PDF
K.M. Furati, M. Kirane and N.-e. Tatar: Existence and asymptotic behavior for a convection problem, Nonl. Anal.: TMA, Vol. 59, Issue 3, (2004), 407-424. PDF
N.-e. Tatar: Long time behavior for a viscoelastic problem with a positive definite kernel, Australian J. Math. Anal. Appl. Vol. 1 Issue 1, Article 5, (2004), 1-11. PDF
K.M. Furati and N.-e. Tatar: An existence result for a nonlocal fractional differential problem, J. Fract. Calc. Vol. 26 (2004), 43-51. PDF
N.-e. Tatar: The decay rate for a fractional differential equation, J. Math. Anal. Appl. 295 (2004), 303-314. PDF
N.-e. Tatar: On the wave equation with a dissipation and a source of cubic convolution type in Rn, Demonstratio Mathematica, Vol. 37 No. 3 (2004), 543-555. PDF
M. Kouche and N.-e. Tatar: Extinction and asymptotic behavior of solutions to a system arising in biology, Zeit. Anal. Anw. Vol. 23, No. 1, (2004), 17-38. PDF
N.-e. Tatar: Blow up for the wave equation with a nonlinear dissipation of cubic type in Rn, Appl. Math. Comp. Vol. 148 Issue 3 (2004), 759-771. PDF
N.-e. Tatar: On an integral inequality with a kernel singular in time and space, J. Ineq. Pure Appl. Math. Vol. 4 Issue 4, Article 82 (2003), 1-9. PDF
N.-e. Tatar: A wave equation with fractional damping, Zeit. Anal. Anw. Vol. 22, No. 3, (2003), 609-617. PDF (Corrigendum: PDF)
S. Messaoudi and N.-e. Tatar: Global existence and asymptotic behavior for a nonlinear viscoelastic problem, Math. Sci. Res. J. Vol. 7 No. 4 (2003), 136-149. PDF
N.-e. Tatar: On a problem arising in isothermal viscoelasticity, Int. J. Pure Appl. Math. Vol. 8, No. 1 (2003), 1-12. DVI
M. Kirane and N.-e. Tatar: Exponential growth for a fractionally damped wave equation, Zeit. Anal. Anw. Vol. 22, No. 1, (2003), 167-177. PDF
S. Mazouzi and N.-e. Tatar: An improved exponential decay result for some semilinear integrodifferential equations, Arch. Math. (Brno) Tomus 39 (3) (2003), 163-171. PDF
S. Mazouzi and N.-e. Tatar: Global existence for some integrodifferential equations with delay subject to nonlocal conditions, Zeit. Anal. Anw. Vol. 21, No. 1, (2002), 249-256. PDF
M. Kirane and N.-e. Tatar: Convergence rates for a reaction diffusion system, Zeit. Anal. Anw. Vol. 20, No. 2 (2001), 347-357. PDF
N.-e. Tatar: Exponential decay for a semilinear integrodifferential problem , Arab J. Math. Vol. 7 No. 1 (2001), 29-45.
M. Kirane and N.-e. Tatar: A nonexistence result to a Cauchy problem in nonlinear one-dimensional thermoelasticity, J. Math. Anal. and Appl. 254 (2001), 71-86. PDF
M. Kirane, J. I. Kanel and N.-e. Tatar: Pointwise a priori bounds for a strongly coupled system of reaction diffusion equations, Inter. J. Diff. Eqs. Appl., Vol. 1 No. 1 (2000), 77-97.
M. Kirane and N.-e. Tatar: Nonexistence results for a semilinear hyperbolic problem with boundary condition of memory type, Zeit. Anal. Anw., Vol. 19 No. 2 (2000), 453-468. PDF
M. Kirane and N.-e. Tatar: Global existence and stability of some semilinear problems, Archivum Matematicum, Tomus 36 No. 1 (2000), 33-44. PDF
M. Kirane and N.-e. Tatar: A memory type boundary stabilization of a mildly damped wave equation, Elect. J. Qual. Theory. Diff. Eqs. No. 6 (1999), 1-7. PDF
M. Kirane, M. Guedda and N.-e. Tatar: Asymptotic behavior of solutions to a diffusive Volterra equations, Comm. Appl. Analysis Vol.1 , No. 1 (1997), 91-102. PDF
M. Kirane, S. Kouachi and N.-e. Tatar: Non-existence of global solutions of some quasi-linear hyperbolic equations with dynamic boundary conditions, Mathematishe Nachrichten 176 (1995), 139-147.