Faculty Mujeeb Ur Rehman 1

Mujeeb Ur Rehman

HOD Department of Mathematics
  • School of Natural Sciences
  • 5190855588
Summary

Dr. Mujeeb ur Rehman earned a doctoral degree in Mathematics from the National University of Sciences and Technology, where he currently serves as a Professor in the Department of Mathematics at NUST School of Natural Sciences. His research focuses on areas such as Fractional Calculus, Transform Methods in Fractional Calculus, Numerical Methods for Fractional Differential Equations, and Qualitative Theory of Fractional Differential Equations.

Academic Background
PhD (Differential Equations) NUST, Islamabad January 04, 2008 - November 17, 2011
Honours and Awards
Best Teacher Award 2019 Best Teacher Award (2019) December 03, 2020
Publications
A numerical method for solutions of tempered fractional differential equations June 01, 2024 Amna Bibi, Mujeeb ur Rehman, Journal of Computational and Applied Mathematics - Volume 443, Article Number 115772
A product integration method for numerical solutions of fractional differential equations March 01, 2024 Maria Amjad, Mujeeb ur Rehman, Journal of Computational Science - Volume 76, Article Number: 102234
A numerical technique based on multiplicative integration strategy for fractional Darboux problem December 13, 2023 Amna Bibi, Mujeeb ur Rehman, Numerical Algorithms - Pages 1-27
A numerical method for fractional Sturm–Liouville problems involving the Cauchy–Euler operators September 01, 2023 Ghafrlia Istafa, Mujeeb ur Rehman, Computational and Applied Mathematics - Volume 429, Article Number 115221
On the fractional Fourier transforms with respect to functions and its applications June 18, 2023 Imtiaz Waheed, Mujeeb ur Rehman, Computational and Applied Mathematics - Volume 42, Issue 5, Article Number 220
A numerical method based on quadrature rules for ψ-fractional differential equations February 01, 2023 Aneela Sabir, Mujeeb ur Rehman, Computational and Applied Mathematics - Volume 419, Article Number 114684
Numerical solutions of Hadamard fractional differential equations by generalized Legendre functions December 13, 2022 Ghafrlia Istafa, Mujeeb ur Rehman, Mathematical Methods in the Applied Sciences - Pages 1-22
A Legendre-spectral method for Hadamard fractional partial differential equations November 20, 2022 Ghafrlia Istafa, Mujeeb ur Rehman, Mathematical Sciences - Pages 1-17
A generalized Taylor operational matrix method for ψ-fractional differential equations October 17, 2022 Momna Tariq, Mujeeb ur Rehman, Umer Saeed, Mathematical Methods in the Applied Sciences - Pages 1-23
Ulam’s type stability analysis of fractional difference equation with impulse: Gronwall inequality approach September 05, 2022 Rabia Ilyas Butt, Mujeeb ur Rehman, Turkish Journal of Mathematics - Volume 46, Issue 7, Pages 2927-2941
ψ-Shifted Operational Matrix Scheme for Fractional Partial Differential Equations March 28, 2022 Shazia Saddiq, Mujeeb ur Rehman, Journal of Applied Analysis and Computation - Volume 12(2), Pages 497-516
A numerical method based on Haar wavelets for the Hadamard-type fractional differential equations March 04, 2022 Zain ul Abdeen, Mujeeb ur Rehman, Engineering Computations - Volume 39 No. 3, Pages 943-964
Generalized Mellin transform and its applications in fractional calculus March 04, 2022 Talha Aziz, Mujeeb Ur Rehman , Computational and Applied Mathematics - Volume 41, Issue 3, Article Number 88
Solution of fractional boundary value problems by ψ-shifted operational matrices January 24, 2022 Shazia Sadiq, Mujeeb ur Rehman, AIMS Mathematics - Volume 7(4), Pages 6669-6693.
On the Existence and Ulam–Hyers Stability of a New Class of Partial (φ, χ)−Fractional Differential Equations With Impulses November 20, 2021 Arjumand Seemab, Mujeeb ur Rehman, Michal Feckan, Jehad Alzabu, Syed Abbas, Filomat - Volume 35(6), Pages 1977-1991
On Laplace transforms with respect to functions and their applications to fractional differential equations September 12, 2021 Hafiz Muhammad Fahad, Mujeeb ur Rehman, Arran Fernandez, Mathematical Methods in the Applied Sciences - Volume:46, Issue:07, Pages:8304-8323, 15 May 2023
Existence of weak solutions for ψ-caputo fractional boundary value problem via variational methods August 01, 2021 Adnan Khaliq, Mujeeb Ur Rehman, Journal of Applied Analysis and Computation - Volume 11, Number 4, Pages 1768–1778
Tempered and Hadamard-Type Fractional Calculus with Respect to Functions June 02, 2021 Hafiz Muhammad Fahad, Arran Fernandez, Mujeeb-ur-Rehman, Maham Siddiqi, Mediterranean Journal of Mathematics - Volume 18, Article Number: 143
Ulam–Hyers–Mittag–Leffler stability of fractional difference equations with delay June 01, 2021 Rabia Ilyas Butt, Mujeeb ur Rehman, Rocky Mountain Journal of Mathematics - Volume 51(3), Pages 891-901
Langevin equation with nonlocal boundary conditions involving a ψ-Caputo fractional operators of different orders April 21, 2021 Arjumand Seemab, Mujeeb ur Rehman, Jehad Alzabut, Yassine Adjab, Mohammed S. Abdo, AIMS Mathematics - Volume 6, Issue 7, Pages 6749-6780
Discrete Version of Gronwall-Bellman Type Inequality and its Application in Stability Analysis March 15, 2021 Rabia Ilyas Butt, Thabet Abdeljawad, Mujeeb ur Rehman, Dynamic Systems and Applications - Volume 30, No.3, Pages 449-459
Fractional Gegenbauer wavelets operational matrix method for solving nonlinear fractional differential equations February 04, 2021 Umer Saeed, Mujeeb ur Rehman, Khurram Javid, Qamar Din, Sajjad Haider, Mathematical Sciences - Pages 1-15
Stability analysis of p-laplacian fractional difference equation January 01, 2021 Rabia Ilyas Butt, Mujeeb Ur Rehman, Thabet Abdeljawad, Gulsen Kilinc, Dynamic Systems and Applications - Volume 30, Issue 1, Pages 17-31
Fixed point theorem combined with variational methods for a class of nonlinear impulsive fractional problems with derivative dependence December 04, 2020 Adnan Khaliq, Mujeeb ur Rehman, AIMS Mathematics - Volume 6(2), Pages 1943–1953
Green–Haar wavelets method for generalized fractional differential equations September 22, 2020 Mujeeb-ur-Rehman, Dumitru Baleanu, Jehad Alzabut, Muhammad Ismail, Umer Saeed, Advances in Difference Equations - Volume 2020, Article Number: 515
Generalized Substantial Fractional Operators and Well-Posedness of Cauchy Problem September 21, 2020 Hafiz Muhammad Fahad, Mujeeb-ur-Rehman, Bulletin of the Malaysian Mathematical Sciences Society - Pages 1-24
Discrete fractional order two-point boundary value problem with some relevant physical applications September 16, 2020 A. George Maria Selvam, Jehad Alzabut, R. Dhineshbabu, S. Rashid, Mujeeb-ur-Rehman, Journal of Inequalities and Applications - Volume 2020, Article Number 221
ψ-Haar wavelets method for numerically solving fractional differential equations August 12, 2020 Amjid Ali, Teruya Minamoto, Umer Saeed, Mujeeb ur Rehman, Engineering Computations - Volume 38, Issue 2, Pages 1037-1056
Green’s functions for boundary value problems of generalized fractional differential equations with p-Laplacian August 06, 2020 Arjumand Seemab, Mujeeb-ur-Rehman, Hacettepe Journal of Mathematics and Statistics - Volume 49(4), Pages 1355–1372
A Transformation Method for Delta Partial Difference Equations on Discrete Time Scale July 10, 2020 Syed Sabyel Haider, Mujeeb-ur-Rehman, Thabet Abdeljawad, Mathematical Problems in Engineering - Volume 2020, Article ID 3902931, 14 pages
Construction of fixed point operators for nonlinear difference equations of non integer order with impulses June 25, 2020 Syed Sabyel Haider, Mujeeb-ur-Rehman, Fractional Calculus and Applied Analysis - Volume 23(3), Pages 886-907
On fractional difference Langevin equations Involving non-local boundary conditions May 29, 2020 Rabia Ilyas Butt, Jehad Alzabut, Mujeeb Ur Rehman, J. M. Jonnalagadda, Dynamic Systems and Applications - Volume 29, No. 2, Pages 305-326
On Caputo modification of Hadamard-type fractional derivative and fractional Taylor series May 15, 2020 Rashida Zafar, Mujeeb-ur-Rehman, Moniba Shams, Advances in Difference Equations - Volume 2020, Article Number 219
Stability analysis by fixed point theorems for a class of non-linear Caputo nabla fractional difference equation May 13, 2020 Rabia Ilyas Butt, Thabet Abdeljawad, Mujeeb-ur-Rehman, Advances in Difference Equations - Volume 2020, Article Number 209
Green-Haar method for fractional partial differential equations April 16, 2020 Muhammad Ismail, Mujeeb-ur-Rehman, Umer Saeed, Engineering Computations - Volume 37, Issue 4, Pages 1473-1490
On substantial fractional difference operator April 09, 2020 Syed Sabyel Haider, Mujeeb-ur-Rehman, Advances in Difference Equations - Volume 2020, Article Number 154
On Hilfer fractional difference operator March 16, 2020 Syed Sabyel Haider, Mujeeb-ur-Rehman, Thabet Abdeljawad, Advances in Difference Equations - Volume 2020, Article Number 122
Ulam-Hyers-Rassias Stability and Existence of Solutions to Nonlinear Fractional Difference Equations with Multipoint Summation Boundary Condition March 01, 2020 Syed Sabyel Haider, Mujeeb-ur-Rehman, Acta Mathematica Scientia - Volume 40B(2), Pages 589–602
On the existence of positive solutions for generalized fractional boundary value problems December 06, 2019 Arjumand Seemab, Mujeeb-ur-Rehman, Jehad Alzabut, Abdelouahed Hamdi, Boundary Value Problems - Volume: 2019, Issue: 1, Article Number: 186
Approximate Solutions for Fractional Boundary Value Problems via Green-CAS Wavelet Method December 02, 2019 Muhammad Ismail, Umer Saeed, Jehad Alzabut, Mujeeb-ur-Rehman, Mathematics - Vol.7(12), Article Number 1164
Ulam stability of Caputo q-fractional delay difference equation: q-fractional Gronwall inequality approach November 29, 2019 Rabia Ilyas Butt, Thabet Abdeljawad, Manar A. Alqudah, Mujeeb-ur-Rehman, Journal of Inequalities and Applications - Volume: 2019, Issue: 1, Article Number: 305
Existence of solution of an infinite system of generalized fractional differential equations by Darbo’s fixed point theorem July 19, 2019 Arjumand Seemab, Mujeeb ur Rehman, Journal of Computational and Applied Mathematics - -
On oscillatory and nonoscillatory behavior of solutions for a class of fractional order differential equations May 29, 2019 Arjumand Seemab, Mujeeb ur Rehman, TURKISH JOURNAL OF MATHEMATICS - Volume 43, Pages 1182-1194
A numerical method for solving fractional differential equations March 11, 2019 Zain ul Abdeen, Mujeeb ur Rehman, Engineering Computations - Volume 36, Issue 2, Pages 551-568
Ulam-Hyers-Stability for nonlinear fractional neutral differential equations February 01, 2019 Azmat Ullah Khan Niazi, Jiang Wei, Mujeeb Ur Rehman, Du Jun, Hacettepe Journal of Mathematics and Statistics - Volume 48, Issue 1, Pages 157-169
Differential quadrature method for nonlinear fractional partial differential equations October 17, 2018 Umer Saeed, Mujeeb Ur Rehman, Qamar Din, Engineering Computations - Volume 35, Issue 6, Pages 2349-2366
On variational methods to non-instantaneous impulsive fractional differential equation September 05, 2018 Adnan Khaliq, Mujeeb ur Rehman, Applied Mathematics Letters - NULL
Ulam-Hyers-Mittag-Leffler stability for nonlinear fractional neutral differential equations September 01, 2018 Azmat Ullah Khan Niazi, Azmat Ullah Khan Niazi, Jiang Wei, Jiang Wei, Mujeeb-ur-Rehman, Pang Denghao, Pang Denghao, Sbornik Mathematics - Volume: 209, Issue: 9, Pages 1337-1350
Existence And Stability Analysis By Fixed Point Theorems For A Class Of Non-Linear Caputo Fractional Differential Equations June 07, 2018 ARJUMAND SEEMAB, MUJEEB UR REHMAN, Dynamic Systems and Applications - -
Existence results for hybrid fractional neutral differential equations November 02, 2017 Azmat Ullah Khan Niazi, Jiang Wei, Mujeeb Ur Rehman, Du Jun, Advances in Difference Equations - Volume 2017, Article Number: 353
On existence of positive solutions for a class of discrete fractional boundary value problems September 03, 2017 Mujeeb ur Rehman, Faiza Iqbal, Arjumand Seemab, Positivity - -
A quadrature method for numerical solutions of fractional differential equations August 15, 2017 Mujeeb ur Rehman, Amna Idrees, Umer Saeed, Applied Mathematics and Computation - Volume 307, Pages 38-49
A note on fractional Duhamel's principle and its application to a class of fractional partial differential equations February 02, 2017 Mujeeb ur Rehman, Arjumand Seemab, Applied Mathematics Letters - Volume: 64, Pages: 8-14
Boundary value problem for nonlinear fractional differential equations with delay January 25, 2017 Azmat Ullah Khan Niazi, Jiang Wei, Mujeeb Ur Rehman, Pang Denghao, Advances in Difference Equations - Volume 2017, Issue 1, Article Number 24
A note on terminal value problems for fractional differential equations on infinite interval February 01, 2016 S.A. Hussain Shah, Mujeeb ur Rehman, Applied Mathematics Letters - Volume 52, Pages 118-125
Gegenbauer wavelets operational matrix method for fractional differential equations September 01, 2015 Mujeeb ur Rehman, Umer Saeed, Journal of the Korean Mathematical Society - Volume: 52, Issue: 5, Pages: 1069-1096
Haar wavelet Picard method for fractional nonlinear partial differential equations August 01, 2015 Mujeeb ur Rehman, Umer Saeed, Applied Mathematics and Computation - Volume: 264, Pages: 310-322
Modified Chebyshev wavelet methods for fractional delay-type equations August 01, 2015 Mujeeb ur Rehman, Umer Saeed, Muhammad Asad Iqbal, Applied Mathematics and Computation - Volume 264, Pages 431-442
Haar wavelet operational matrix method for fractional oscillation equations July 15, 2014 Umer Saeed, Mujeeb ur Rehman, International Journal of Mathematics and Mathematical Sciences - Volume 2014, Article ID 174819, 8 pages
Hermite Wavelet Method for Fractional Delay Differential Equations July 02, 2014 Umer Saeed, Mujeeb ur Rehman, Journal of Difference Equations - Volume 2014, Article ID: 359093
Haar Wavelet-Picard technique for fractional order nonlinear initial and boundary value problems June 30, 2014 Umer Saeed, Mujeeb ur Rehman, Muhammad Asad Iqbal, Scientific Research and Essays - Volume 9(12), Pages 571-580
Wavelet-Galerkin Quasilinearization Method for Nonlinear Boundary Value Problems June 16, 2014 Mujeeb ur Rehman, Umer Saeed, Abstract and Applied Analysis - Volume 2014, Article ID 868934, 10 pages
Assessment of Haar wavelet-quasilinearization technique in heat convection-radiation equations February 05, 2014 Umer Saeed, Mujeeb ur Rehman, Applied Computational Intelligence and Soft Computing - Volume 2014, Article ID 454231, 5 Pages
Haar Wavelet-Picard Technique for Factional Order Nonlinear Initial and Boundary Value Problems January 01, 2014 Umer Saeed, Mujeeb Ur Rehman, Muhammad Asad Iqbal, Scientific Research and Essays - Vol. 12, Issue 9, Pages 571-580, June 2014
Existence and uniqueness of solutions for impulsive fractional differential equations November 01, 2013 Mujeeb ur Rehman, Paul W. Eloe, Applied Mathematics and Computation - Volume 224, Pages 422-431
Haar wavelet-quasilinearization technique for fractional nonlinear differential equations September 01, 2013 Umer Saeed, Mujeeb ur rehman, Applied Mathematics and Computation - Volume: 220, Pages: 630-648
Numerical solutions to initial and boundary value problems for linear fractional partial differential equations April 01, 2013 Mujeeb Ur Rehman, Rahmat Ali Khan, Applied Mathematical Modelling - Volume 37, Pages 5233-5244
A numerical method for solving boundary value problems for fractional differential equations March 01, 2012 Mujeeb ur Rehman, Rahmat Ali Khan, Applied Mathematical Modelling - Volume: 36, Issue: 3, Pages: 894-907
The Legendre wavelet method for solving fractional differential equations November 01, 2011 Mujeeb ur Rehman, Rahmat Ali Khan, Communications in Nonlinear Science and Numerical Simulation - Volume 16, Issue 11, Pages 4163-4173
Positive Solutions of Nonlocal Boundary Value Problem for Higher Order Fractional Differential System September 01, 2011 Mujeeb ur Rehman, Rahmat Ali Khan, Paul W. Eloe, Dynamic Systems and Applications - Volume: 20, Issue: 2-3, Pages: 169-182
Three point boundary value problems for nonlinear fractional differential equations July 01, 2011 Mujeeb ur Rehman, Rahmat Ali Khan, Naseer Ahmad Asif, Acta Mathematica Scientia - Volume 31, Issue 4, Pages 1337-1346
A note on boundary value problems for a coupled system of fractional differential equations May 02, 2011 MUJEEB UR REHMAN, Rahmat Ali Khan, Computers and Mathematics with Applications - Volume: 61, Issue: 9, Pages: 2630-2637
Positive Solutions to Nonlinear Higher-Order Nonlocal Boundary Value Problems for Fractional Differential Equations October 28, 2010 Mujeeb Ur Rehman, Rahmat Ali Khan, Abstract and Applied Analysis - Article Number 501230
Existence and uniqueness of solutions for multi-point boundary value problem for fractional differential equations September 01, 2010 Mujeeb ur rehman, Rahmat Ali Khan, Applied Mathematics Letters - Volume: 23, Issue: 9, Pages: 1038-1044
Conferences