The Convergence and Boundedness of Solutions to SFDEs with the G-Framework
April 19, 2024
Rahman Ullah, Faiz Ullah, Quanxin Zhu,
Mathematics - Accepted
A Theoretical Investigation of the SARS-CoV-2 Model via Fractional Order Epidemiological Model
May 01, 2023
Tahir Khan, Rahman Ullah, Thabet Abdeljawad, Manar A. Alqudah, Faiz Ullah,
Computer Modelling in Engineering & Sciences - Volume 135(2), Pages 1295-1313
The Carathéodory approximation scheme for stochastic differential equations with G-Lévy process
April 21, 2023
Rahman Ullah, Faiz Ullah, Naeem Ul Islam,
Mathematical Methods in the Applied Sciences - Pages 1-11
A Novel Row Index Mathematical Procedure for the Mitigation of PV Output Power Losses during Partial Shading Conditions
March 21, 2023
Muhammad Zeeshan, Naeem Ul Islam, Faiz Ullah, Ihsan Ullah Khalil, Jaebyung Park,
Symmetry - Volume 15(3), Article Number 768
The dynamics of novel corona virus disease via stochastic epidemiological model with vaccination
March 07, 2023
Rahman Ullah, Qasem Al Mdallal, Tahir Khan, Roman Ullah, Basem Al Alwan, Faiz Ullah, Quanxin Zhu,
Scientific Reports - Vol:13, Article number: 3805
A Mesh-Free Collocation Method Based on RBFs for the Numerical Solution of Hunter–Saxton and Gardner Equations
May 18, 2022
Rahman Ullah, Ihteram Ali, Sadaf Shaheen, Tahir Khan, Faiz Ullah, Hamid Rahman,
Mathematical Problems in Engineering - Volume 2022, Article ID 2152565, 11 pages
On the existence and mean square stability of neutral stochastic functional differential equations driven by G-Lévy process
February 08, 2022
Faiz Ullah, Rahman Ullah, Quanxin Zhu,
Mathematical Methods in the Applied Sciences - Pages 1-12
The existence–uniqueness and exponential estimate of solutions for stochastic functional differential equations driven by G‐Brownian motion
September 09, 2020
Faiz Ullah, Quanxin Zhu, Quanxin Zhu, Rahman Ullah, Rahman Ullah,
Mathematical Methods in the Applied Sciences - Pages 1-12
A Note on the Approximate Solutions for Stochastic Differential Equations Driven by G-Brownian Motion
February 05, 2020
Faiz Ullah, R. Ullah, Jihen Majdoubi, I. Tlili, I. Khan, Ghaus ur Rahman,
Journal of Computational Analysis and Applications - Volume 28(5), Pages 798-807
On boundedness and convergence of solutions for neutral stochastic functional differential equations driven by G-Brownian motion
July 17, 2019
Faiz Ullah,
Advances in Difference Equations - Article number: 289, Page 1-16
On stochastic pantograph differential equations in the G-framework
May 01, 2019
Faiz Ullah,
Journal of Computational Analysis and Applications - Volume 26, Issue 5, Pages 819-831
The p-moment exponential estimates for neutral stochastic functional differential equations in the G-framework
January 01, 2019
Faiz Ullah, A.A. Memom, M.A. Rana, Muhammad Hanif,
Journal of Computational Analysis and Applications - Volume 26, Issue 1, Pages 81-90
Estimates for the difference between approximate and exact solutions to stochastic differential equations in the G-framework
January 01, 2019
Faiz Ullah, Ilyas Khan , Mukhtar M. Salah , Ziyad Ali Alhussain,
Journal of Taibah University for Science - Volume: 13 Issue: 1 Pages: 20-26
Qualitative behavior of a second-order fuzzy difference equation
July 01, 2018
Ghaus ur Rahman, Qamar Din, Faiz Ullah, Faiz Muhammad Khan,
Journal of Intelligent & Fuzzy Systems - Volume: 34 Issue: 1 Pages: 745-753
Existence and stability of solutions to non-linear neutral stochastic functional differential equations in the framework of G-Brownian motion
October 30, 2017
Faiz Ullah, M Bux, MA Rana, Ghaus ur Rahman,
Advances in Difference Equations - Volume 2017, Article Number: 350
On existence and approximate solutions for stochastic differential equations in the framework of G-Brownian motion
October 20, 2017
Rahman Ullah, Faiz Ullah,
European Physical Journal Plus - Volume: 132 Issue: 10 Article Number: 435
On Existence and Comparison Results for Solutions to Stochastic Functional Differential Equations in the G-Framework
October 02, 2017
Faiz Ullah, Matloob-Ur-Rehman, Muhammad Shahzad, M. Ikhlaq Chohan,
Journal of Computational Analysis & Applications - Volume: 23 Issue: 4 Pages: 693-702
On the Uniqueness Results and Value Distribution of Meromorphic Mappings
August 17, 2017
Rahman Ullah, Xiao-Min Li, Faiz Ullah, Hong-Xun Yi, Riaz Ahmad Khan,
Mathematics - Volume: 5, Issue: 3, Article Number: 42
A Note on pth Moment Estimates for Stochastic Functional Differential Equations in the Framework of G-Brownian Motion
June 28, 2017
Faiz Ullah,
Iranian Journal of Science and Technology, Transactions A: Science - Volume 41, Issue 4, Pages 1131–1138
Existence and uniqueness of solutions to SFDEs driven by G-Brownian motion with non-Lipschitz conditions
February 08, 2017
Faiz Ullah,
Computational analysis and applications - Volume 23, Issue 2, Pages 344-354
On Periodicity and Uniqueness of Meromorphic Functions
February 01, 2017
Rahman Ullah, Rahman Ullah, Xiao-Min Li, Xiao-Min Li, Faiz Ullah,
Journal of Computational and Theoretical Nanoscience - Volume 14, Number 2, Pages 910-917
A Note on Stochastic Functional Differential Equations Driven by G-Brownian Motion with Discontinuous Drift Coefficients
November 01, 2016
Faiz Ullah, Aamir Mukhtar, M. A. Rana,
Journal of Computational Analysis & Applications - Volume: 21 Issue: 5 Pages: 910-919
On the pth moment estimates of solutions to stochastic functional differential equations in the G‑framework
June 24, 2016
Faiz Ullah,
SpringerPlus - Volume: 5, Article Number: 872
Existence Results and Moment Estimates for NSFDEs Driven by G-Brownian Motion
January 01, 2016
Faiz Ullah,
Journal of Computational and Theoretical Nanoscience - Vol. 13, Pages 1–8
Slow manifolds in chemical kinetics
January 01, 2016
Muhammad Shahzad, Ibrar ul Haq, Faisal Sultan, Abdul Wahab, Faiz Ullah, Ghaus Ur Rahman ,
Journal of the Chemical Society of Pakistan - Volume: 38 Issue: 5 Pages: 828-835
A Note on the Existence Results for Stochastic Functional Differential Equations Driven by G-Brownian Motion
January 01, 2016
Faiz Ullah, Farkhanda, Fawad Hussain,
Journal of Computational and Theoretical Nanoscience - Vol. 13, Pages 1–5
Some Characterizations of Intra-regular Abel-Grassmann Groupoids
March 05, 2014
Madad Khan, Saima Anis , Faiz Ullah,
Research Journal of Applied Sciences, Engineering and Technology - Volume 7, Issue 9, Pages 1848-1855
Existence of Solutions for G-SFDES with Cauchy-Maruyama Approximation Scheme
January 01, 2014
Faiz Ullah,
Abstract and Applied Analysis - Article Number: 809431
On the Existence of Solutions for Stochastic Differential Equations under G-Brownian Motion
January 01, 2013
Faiz Ullah, Waseem Asghar Khan, Muhammad Arif, Riaz Ahmad Khan ,
Life Science Journal - Vol. 10, No 5s, Pages 255-260
Upper and Lower Solutions Method for G-BSDEs in the Reverse Order
January 01, 2013
Faiz Ullah, Shahzad Amin Sheikh, Yasir Ali, Rahmat Ullah,
Life Science Journal - Volume 10, Issue 2, Pages 2731-2739
Existence of Solutions for Stochastic Differential Equations under G-Brownian Motion with Discontinuous Coefficients
December 01, 2012
Faiz Ullah,
Zeitschrift Fur Naturforschung Section A-A Journal of Physical Sciences - Volume: 67, Issue: 12, Pages: 692-698
A Note on the Carath´eodory Approximation Scheme for Stochastic Differential Equations under G-Brownian Motion
November 14, 2012
Faiz Ullah,
Zeitschrift Fur Naturforschung Section A-A Journal of Physical Sciences - Vol 67a, Pages 699 – 70
A Note on the Existence of Solutions for Backward Stochastic Differential Equations under G-Brownian Motion
July 12, 2012
Faiz Ullah, Daxiong Piao,
World Applied Sciences Journal - Volume 16, Issue 12
Backward stochastic differential equations under G-Brownian motion with discontinuous drift coefficients
June 01, 2012
Faiz Ullah, Rahman Ullah,
International Journal of Current Research and Review - Volume 04, Issue 12, Pages 78-85
Semiprime (Ρ,ΡΦqk)-fuzzy Quasi-ideals in Ordered Semigroups
April 11, 2012
Asghar Khan, Nor Haniza Sarmin, Faiz Muhammad Khan, Faiz Ullah,
World Applied Sciences Journal - Volume 16, Issue 12
Trig based time domain constellation shaping technique for peak to average power ratio reduction in OFDM systems
February 08, 2012
Hina Shabbir, Shahzad Amin Sheikh, Faiz Ullah,
Life Science Journal - Volume 9, Issue No 4, Pages 4465-4471
Existence of solutions for G-SDEs with upper and lower solutions in the reverse order
January 04, 2012
Faiz Ullah, Daxiong Piao,
International Journal of the Physical Sciences - Vol. 7 Issue no 3, Pages. 432 - 439
Some Sufficient Conditions for Spirallike Functions with Argument Properties
January 01, 2012
Muhammad Arif, Mohsan Raza, Saeed Islam, Javed Iqba, Faiz Ullah,
Life Science Journal - Vol. 9(4), Pages 3770-3773
On the Existence and Uniqueness of Solutions for Stochastic Differential Equations under G-Brownian Motion in a Generalized Space
January 01, 2012
Faiz Ullah, Rahmanullah, Daxiong Piao, Asghar Khan,
World Applied Sciences Journal - Volume 19, Issue 12, Pages 1746-1751
Existence and Approximation of Solutions of Boundary Value Problems on Time Scales
August 11, 2009
Rahmat Ali Khan, Faiz Ullah, Muhammad Rafique,
Advances in Dynamical Systems and Applications - Volume 4, Number 2, Pages 197-209