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Dr.Muhammad Islam Mustafa Academic RankAssociate Professor

Specialization:

  • Applied Mathematics

Research Interests:

  • Existence of Solutions and Asymptotic Analysis for Systems of PDEs in Elasticity, Viscoelasticity, and Thermoelasticity

Contact

PhD in Applied Mathematics 2008
University of Sharjah / 2015-Now / Associate Professor - King Fahd University of Petroleum and Minerals / 2013-2015 / Associate Professor - King Fahd University of Petroleum and Minerals / 2010-2013 / Assistant Professor - Prince Sultan University / 2008-2010 / Assistant Professor - King Fahd University of Petroleum and Minerals / 2005-2008 / Lecturer
1." On the stabilization of viscoelastic plates with delay ", 2015 2."Energy decay rates for dissipative plates systems with memory", 2014 3."Blow-up results in some viscoelastic wave equations in the whole space", 2013 4."Asymptotic behavior of some delay hyperbolic thermoelastic systems", 2012 5."Stabilization of wave equations and Timoshenko systems by viscoelastic dampings", 2011 6."General energy decay rates for weakly damped hyperbolic systems", 2009
1.Messaoudi S. A. and Mustafa M. I., On the internal and boundary stabilization of Timoshenko beams, Nonlinear Differential Equations and Applications 15 (2008),655-671 2.Messaoudi S. A. and Mustafa M. I., On the control of solutions of viscoelastic equations with boundary feedback, Nonlinear Analysis: RWA 10 (2009), 3132-3140 3.Mustafa M. I. and Messaoudi S. A., General energy decay rates for a weakly damped Timoshenko system, Journal of Dynamical and Control Systems 16 (2) (2010), 211-226 4.Mustafa M. I., Uniform stability for themoelastic systems with boundary time-varying delay, Journal of Mathematical Analysis and Applications 383 (2011), 490–498 5.Mustafa M. I., Well posedness and asymptotic behavior of a coupled system of nonlinear viscoelastic equations, Nonlinear Analysis: RWA 13 (2012), 452-463 6.Mustafa M. I. and Messaoudi S. A., General stability result for viscoelastic wave equations, Journal of Mathematical Physics Vol. 53, 053702 (2012); doi: 10.1063/1.4711830 7.Lasiecka I., Messaoudi S. A., and Mustafa M. I., Note on intrinsic decay rates for abstract wave equations with memory, Journal of Mathematical Physics 54, 031504 (2013); doi: 10.1063/1.4793988 8.Mustafa M. I., Large time behavior for the solution of a delay heat equation, Dynamic Systems and Applications 22 (2013), 125-136 9.Mustafa M. I., On the decay rates for thermoviscoelastic systems of type III, Applied Mathematics and Computation 39 (2014), 29-37 10.Kafini M. and Mustafa M. I., A blow-up result in a Cauchy viscoelastic problem with strong damping and dispersive terms, Nonlinear Analysis RWA 20 (2014), 14–20 11.Mustafa M. I. and Abu Sharkh G., Plate equations with viscoelastic boundary damping, Indagationes Mathematicae 26 (2015), 307-323
Awards and Recognitions “Best Research Project Award”, King Fahd University of Petroleum and Minerals(2015)
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