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Dr. Mujeeb-ur-Rehman
Associate Professor
Department of Mathematics

SNS
National University of Sciences and Technology (NUST)
School of Natural Sciences,Sector H-12, Islamabad, Pakistan
Tel : +92 51 9085 5588

Specialization
Differential Equations

Education
PhD, Mathematics (NUST, Pakistan)

Dr. Mujeeb ur Rehman joined the National University of Sciences and Technology (NUST) as a PhD student in 2007.  He completed his PhD in mathematics in 2011 and joined School of Natural Sciences as Assistant Professor in February 2012. He is currently serving at School of Natural Sciences as Associate Professor. Dr. Mujeeb ur Rehman has published many research papers in international journals of good repute. He has supervised several research students at post graduate level. His research interests include Fractional Calculus, qualitative theory of fractional differential equations and numerical methods for fractional differential equations.​

Research Interests:

  • Di erential Equations
  • Fractional Calculus
  • Wavelets​

Research Students information:

MPhil Students Supervise

  • Muhammad Ismail (2019)
  • Ha z Huhammad Fahad (2019)
  • Zain ul Abdeen (2018)
  • Maria Saeed (2017)
  • Faiza Iqbal (2016)
  • Amna Idrees (2016)
  • Syed Afaq Hussain Shah (2015)
  • Asma Razzaq (2015)
  • Rahat Saeed (2014)
  • Ayesha tuz Zehara (2014)
  • Arjumand  Seemab (2014)
  • Nimra Tahir (2013)

M. Phil Students In progress

  • Yasir Butt
  • Maria Saeed

PhD Students Supervised  
  • Umer Saeed (2015)
Ph.D. Students in Progress
  • Adnan Khalique
  • Arjumand Seemab
  • Rabia Ilyas Butt
  • Syed Sabyel Haider

Research Publications:
  • M. Ismail, Mujeeb ur Rehman and Umer Saeed, Green-Haar method for fractional partial di erential equations, Engineering Computations, Accepted.
  • Arjumand Seemab and Mujeeb Ur Rehman, Existence of solution of an in nite system of generalized fractional di erential equations by Darbo's xed point theorem. Journal of Computational and Applied Mathematics Volume 364, 15 January 2020, 112355
  • AUK Niazi, Jiang Wei1, Mujeeb Ur Rehman, Du Jun, Ulam-Hyers-Stability for nonlinear fractional neutral di erential equations, Hacettepe Journal of Mathematics and Statistics, Volume 48 (1) (2019), 157 169.
  • Arjumand Seemab and Mujeeb Ur Rehman, On oscillatory and non-oscillatory behavior of solutions for a class of fractional order di erential equations, TURKISH JOURNAL OF MATHEMATICS 43, (2019), 1182 1194.
  • Zain ul Abdeen, Mujeeb ur Rehman, A numerical method for solving fractional di erential equa- tions, Engineering Computations , Vol. 36 Issue: 2, (2019) 551 568,
  • AUK Niazi, J Wei, Mujeeb ur Rehman, P Denghao, Ulam-Hyers-Mittag-Le er stability for nonlin- ear fractional neutral di erential equations, Sbornik: Mathematics 209:9 (2018) 1337 1350
  • Umer Saeed, Mujeeb Ur Rehman and Qamar Din,Di erential quadrature method for nonlinear fractional partial di erential equations, Engineering Computations, Vol. 35 Issue: 6, (2018) 2349-2366
  • Arjumand Seemab and Mujeeb Ur Rehman, Existence and stability analysis by xed point theorems for a class of non-linear Caputo fractional di erential equations, Dynamic Systems and Applications, 27 (2018), 445 456
  • Adnan Khaliq and Mujeeb Ur Rehman, On variational methods to non-instantaneous impulsive fractional di erential equation, Applied Mathematics Letters 83 (2018) 95 102.
  • Azmat Ullah Khan Niazi, Jiang Wei, Mujeeb Ur Rehman and Du Jun, Existence results for hy- brid fractional neutral di erential equations. Advances in Di erence Equations (2017) 2017:353 DOI 10.1186/s13662-017-1407-8
  • Mujeeb ur Rehman, Faiza  Iqbal,  Arjumand Seemab,  On existence of positive solutions for a class of discrete fractional boundary value problems, Positivity Positivity Volume 21,(2017) 1173 1187.
  • Mujeeb ur Rehman, Amna Idrees, Umer Saeed, A quadrature method for numerical solutions of fractional di erential equations, Applied Mathematics and Computation, 307, (2017) 38-49
  • A.U. Khan Niazi, J. Wei, Mujeeb Ur Rehman, P. Denghao, Boundary Value Problem for Nonlinear Fractional Di erential Equations with Delay, Advances in Di erence Equations, (2017) 2017:24 DOI 10.1186/s13662-017-1090-9
  • Arjumand Seemab, Mujeeb ur Rehman A note on fractional Duhamel's principle and its application to a class of fractional partial di erential equations, Applied Mathematics Letters, Volume 64, (2017), 8 14.
  • S. A. Hussain Shah and Mujeeb ur Rehman, A note on terminal value problems for fractional di erential equations on in nite interval, Applied Mathematics Letters. 52 (2016) 118 125.
  • Mujeeb ur Rehman, Umer Saeed, Gegenbauer wavelets operational matrix method for fractional di erential equations, J. Korean Math. Soc. 52 (2015), No. 5, 1069 1096.
  • Umer Saeed, Mujeeb ur Rehman , M. A. Iqbal, Modi ed Chebyshev wavelet methods for fractional delay-type equations, Applied Mathematics and Computation, Volume 264, 2015, 431-442
  • Umer Saeed, Mujeeb ur Rehman, Haar wavelet  Picard method for fractional nonlinear partial di erential equations, Applied Mathematics and Computation, Volume 264, 2015, 310-322
  • Umer Saeed and Mujeeb ur Rehman, Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems, Abstract and Applied Analysis Volume 2014 (2014), Article ID 868934, 10 pages http://dx.doi.org/10.1155/2014/868934
  • Umer Saeed and Mujeeb ur Rehman, Hermite Wavelet Method for Fractional Delay Di erential Equations, Journal of Di erence Equations Volume 2014 (2014), Article ID 359093, 8 pages http://dx.doi.org/10.1155/2014/359093
  • Umer Saeed and Mujeeb ur Rehman, Haar Wavelet Operational Matrix Method for Fractional Oscillation Equations, International Journal of Mathematics and Mathematical Sciences Volume 2014 (2014), Article ID 174819, 8 pages http://dx.doi.org/10.1155/2014/174819.
  • Umer Saeed, Mujeeb ur Rehman, Assessment of Haar Wavelet-Quasilinearization Technique in Heat Convection-Radiation Equations, Applied Computational Intelligence and Soft Computing, (2014) Article ID 454231, 1 5.
  • Umer Saeed, Mujeeb ur Rehman, Haar wavelet quasilinearization technique for fractional nonlinear di erential equations, Applied Mathematics and Computation 220 (2013), 630 648
  • Mujeeb ur Rehman, Paul W. Eloe, Existence and uniqueness of solutions for impulsive fractional di erential equations, Applied Mathematics and Computation, 224 (2013) ,422 431.
  • Mujeeb ur Rehman, Rahmat Ali Khan, Numerical solutions to initial and boundary value problems for linear fractional partial di erential equations. Applied Mathematical Modelling 37(2013) 5233 5244.
  • Mujeeb ur Rehman, Rahmat Ali Khan, A numerical method for solving boundary value problems for fractional di erential equations. Applied Mathematical Modelling 36 (2012) 894 907.
  • Mujeeb ur Rehman, Rahmat Ali Khan, The Legendre wavelet method for solving fractional di er- ential equations, Commun Nonlinear Sci Numer. Simulat., 16 (2011) 4163 4173.
  • Rahmat Ali Khan, Mujeeb ur  Rehman and J. Hendersom, Existence and uniqueness of solutions  for nonlinear fractional di erential equations with integral boundary conditions, Fractional Di erential Calculus, 1 (2011) 29 43.
  • Mujeeb ur Rehman, Rahmat Ali Khan, A note on boundary value problems for a coupled system of fractional di erential equations, Computers and Mathematics with Applications 61 (2011) 2630 2637.
  • Rahmat Ali Khan, Mujeeb ur Rehman, Existence of multiple positive solutions for a general system of fractional di erential equations, Communications on Applied Nonlinear Analysis, 18 (2011) 25 35.
  • Mujeeb ur Rehman, Rahmat Ali Khan, and Paul W. Eloe, Positive solutions of nonlocal boundary value problem for higher order fractional di erential system, Dynamic Systems and Applications 20 (2011) 169-182.
  • Mujeeb ur Rehman, Rahmat Ali Khan and Naseer Ahmad Asif, Three point boundary value prob- lems for nonlinear fractional di erential equations, Acta Math. Sci., 31 (2011) 1337 1346.
  • Mujeeb ur Rehman, Rahmat Ali Khan, Positive Solutions to Nonlinear Higher-Order Nonlocal Boundary Value Problems for Fractional Di erential Equations, Abstract and Applied Analysis, Vol- ume 2010, Article ID 501230, 15 pages doi:10.1155/2010/501230
  • Mujeeb ur Rehman, Rahmat Ali Khan, Existence and uniqueness of solutions for multi point bound- ary value problem for fractional di erential equations, Applied Mathematics Letters, 23 (2010) 1038 1044.

Courses Taught at Undergraduate Level:

  • Calculus (Fall 2011)
  • Linear Algebra Fall 2011)
  • Probability and Statistics (Spring 2012)
  • Complex Analysis (Fall 2013)
  • Partial Di erential Equations (Fall 2013)
  • Discrete Dynamical Systems (Fall 2018)
  • Di erential Geometry-I (Spring 2019)
  • Spherical Trigonometry (Fall 2019)

Courses Taught at Postgraduate Level:

  • Ordinary Di erential Equations (Qualitative Theory) (Spring 2016, Spring 2017, Fall 2018)
  • Partial Di erential Equations (spring 2015, Fall 2016, Fall 2019)
  • Mathematical Analysis (Fall 2017, 2016, 2014)
  • Special Functions (Fall 2015, spring 2019)

  • Associate Professor (2017 present) National University of Sciences and Technology Islamabad.
  • Assistant Professor (2012 2017) National University of Sciences and Technology Islamabad.
  • Programme Coordinator for the School of Natural Sciences (2013-2018)
  • Secretory for the conference:Sixth International Conference on Recent Developments in Fluid Mechanics (2015)
  • Secretory for the conference: Recent Trend in Mathematical Sciences (2017)
  • Member of departmental curriculum review committee (2019)