-
Ali, S., Ullah, S., Ahmad, U. M., Saif, U., Saleem, A., Malik, A., Ijaz, H., Amjad, S.,
(2026).
"Enhanced Xylanase Production by N-methyl-N-nitro-N-nitrosoguanidine, Mutated Aspergillus niger using Agricultural Waste."
International Journal of Agriculture & Biology
, Vol.
35 (2) , pp.
1-7.
DOI:
https://doi.org/10.17957/IJAB/15.2435
-
Khan, N. A., Akbar, S., Ullah, S., Ayaz, M.
(2026).
"Multidirectional Chaos-Based Encryption Scheme Using ABC Fractional Derivative for Secure Multimedia Data Transmission."
Mathematical Modelling and Control
, Vol.
6 (1) , pp.
14-28.
DOI:
https://doi.org/10.3934/mmc.2026002 | Impact Factor:
2.7
[Link]
-
Ashique, A., Ullah S., Masood, K., Shah, N. A.,
(2026).
"Synergistic artificial neural network and finite element method approach for mixed convection ferrofluid in a corrugated cavity with a rotating cylinder and an inclined magnetic field."
International Communications in Heat and Mass Transfer
, Vol.
174 , pp.
1-21.
DOI:
https://doi.org/10.1016/j.icheatmasstransfer.2026.110951 | Impact Factor:
6.4
[Link]
-
Ahmed, S., Ullah, S., Asghar, N., Ahmed, W.,
(2025).
"Computational Analysis of Nipah Virus Transmission Using Mathematical Modelling and Graphical Programming."
BioNano Science
, Vol.
15 (2) .
DOI:
https://doi.org/10.1007/s12668-025-01804-x | Impact Factor:
3.2
-
Ullah, S., Ali, M., Bajwa, S., Bilal, A.,
(2025).
"Convergence and Ulam-Hyers-Rassias Stability Analyses of Numerical Solutions of Bratu Type Equations using Picard Method."
Scientific Inquiry and Review
, Vol.
9 (3) , pp.
1-25.
DOI:
https://doi.org/10.32350/sir.93.01
-
Nasreen, S., Munir, T., Ullah, S., Zeb, H., Ahammad, A. N., Elkotb, A. M.,
(2025).
"Flow Dynamics Over Cylinder in Two-Dimensional Benchmark Problem: A finite Element Approximation."
Mathematical Methods in the Applied Sciences
, Vol.
48 (3) , pp.
3956-3965.
DOI:
https://doi.org/10.1002/mma.10527 | Impact Factor:
1.8
-
Shahzaib, M., Azhar Ali Zafar, A. A., Ullah, S
(2025).
"Fractional Order Analysis of Pulsatile Blood-Nanoparticle Flow in Femoral and Coronary Arteries under Magnetic and Thermal Influences."
Journal of Nanofluids
, Vol.
14 (6) , pp.
820-827.
DOI:
https://doi.org/10.1166/jon.2025.2279 | Impact Factor:
2.2
[Link]
-
Ali, S., Ullah, S., Amjad, S., Asghar, A., Muhammad, G. Y., Ammar, M.,
(2025).
"Harnessing Microbial Proteases as Versatile Tools for Industrial Bioprocessing."
International Journal of Biology and Biotechnology
, Vol.
22 (3) , pp.
689-697.
-
Ahmed, S., Ullah, S., Rasool, T. F.,
(2025).
"Modeling the Dynamics of Monkeypox Epidemic via Classical and Fractional Derivatives."
Discover Public Health
, Vol.
22 , pp.
426.
DOI:
https://doi.org/10.1186/s12982-025-00827-9
-
Ahmed, S., Ullah, S., Riaz, M., Ahmed, W., Sheikh, M.,
(2025).
"Numerical Analysis of Fractional Logistic Growth Models Using Computational Methods with MATLAB Codes."
International Journal of Applied and Computational Mathematics
, Vol.
11 (5) , pp.
198.
DOI:
https://doi.org/10.1007/s40819-025-02003-8
-
Ahmed, S., Ullah, S., Rasool, T. F.,
(2025).
"Numerical Computations of Fractional Differential Equations in Engineering using the Polynomial Least Squares Method."
Journal of Prime Research in Mathematics
, Vol.
21 (2) , pp.
13-24.
-
Ullah, S., Fatima, N.,
(2025).
"Numerical Investigation with Stability Assessment of Semi-Analytical Scheme for Time-Fractional Order Heat Type Emden-Fowler Equations."
Punjab University Journal of Mathematics
, Vol.
57 (10) , pp.
1031-1048.
DOI:
https://doi.org/10.52280/pujm.2025.57(10)01
[Link]
-
Ullah, S., Yaqub, F., Munir, T., Zeb, H.,
(2025).
"Optimal Semi-Analytical Solutions of Time-Fractional Evolution Equations."
Journal of Applied Mathematics and Computing
, Vol.
71 (2) , pp.
1995 – 2015.
DOI:
https://doi.org/10.1007/s12190-024-02310-1 | Impact Factor:
2.7
-
Ashique, A., Afzal, U., Abdal, S., Ullah, S., Shah, N, A., Chung j. D.,
(2025).
"Optimization of Thermal Transfer in Casson Hybrid Nanofluids with Magnetohydrodynamics and Activation Energy Effects."
Alexandria Engineering Journal
, Vol.
122 , pp.
255-267.
DOI:
https://doi.org/10.1016/j.aej.2025.02.067 | Impact Factor:
6.8
[Link]
-
Ullah, S., Ali R.,
(2025).
"Stability Analysis of Semi-Analytical Technique for Time-Fractional Cauchy Reaction-Diffusion Equations."
Zeitschrift für Naturforschung A
, Vol.
80 (3) , pp.
199-214.
DOI:
https://doi.org/10.1515/zna-2024-0201 | Impact Factor:
1.8
-
Afzal, U., Almutairi, B., Shah, A. N., Ullah, S., Abdullah, Chung, D. J.,
(2024).
"A Generalized Thermal Memory Effect of Caputo-Fabrizio Fractional Integral on Natural Convection Flow of Hybrid Nanofluid."
Modern Physics Letters B
, Vol.
38 (11) , pp.
2450086.
DOI:
https://doi.org/10.1142/S0217984924500866 | Impact Factor:
2.2
-
Ullah, S.,
(2024).
"Closure to Discussion of Some Exact Analytical Solutions for Two-Dimensional Flow of an Incompressible Second Grade Fluid."
J. Fluids Eng.
, Vol.
146 (12) , pp.
126001.
| Impact Factor:
2.4
-
Zaman, S., Kosar, Z., Ullah, S., Nawaz, A.,
(2024).
"Mathematical Aspects and Molecular Descriptors for Anti-Tumour and Anti-COVID Drugs Medications."
Molecular Physics
, Vol.
122 (10) .
DOI:
https://doi.org/10.1080/00268976.2023.2278702 | Impact Factor:
1.8
-
Ullah, S., Amin, F., Ali, M.,
(2024).
"Numerical Investigation with Convergence and Stability Analyses of Integro-Differential Equations of Second Kind."
International Journal of Computational Methods
, Vol.
21 (3) .
DOI:
https://doi.org/10.1142/S0219876223500366 | Impact Factor:
1.6
-
Munir, T., Din, A., Ullah, S., Malik, Y. M., Alqahtani, S. A.,
(2023).
"Discrete Mass Conservation and Stability Analysis of the Ocean-Atmosphere Model with Coupling Conditions."
Journal of Ocean Engineering and Science
, Vol.
8 (6) , pp.
577-589.
DOI:
https://doi.org/10.1016/j.joes.2022.02.002 | Impact Factor:
11.8
-
Bajwa, S., Ullah, S., Al-Johani, S. A., Khan, I., Andualem, M.,
(2022).
"Effects of MHD and Porosity on Jeffrey Fluid Flow with Wall Transpiration."
Mathematical Problems in Engineering
, Vol.
2022 (3) , pp.
6063143.
DOI:
https://doi.org/10.1155/2022/6063143 | Impact Factor:
1.43
-
Muhammad, N., Ullah, S., Khan, U.,
(2022).
"Energy Recovery Mechanism of Air Injection in Higher Methane Cut Reservoir."
International Journal of Modern Physics B
, Vol.
36 (24) , pp.
2250153.
DOI:
https://doi.org/10.1142/S0217979222501533 | Impact Factor:
1.7
-
Chu, M. Y., Ullah, S., Ali, M., Tuzzahrah, G. F., Munir, T.,
(2022).
"Numerical Investigation of Volterra Integral Equations of Second Kind using Optimal Homotopy Asymptotic Method."
Applied Mathematics and Computation
, Vol.
430 , pp.
127304.
DOI:
https://doi.org/10.1016/j.amc.2022.127304 | Impact Factor:
4.397
-
Ghaffar, F., Ullah, S., Badshah, N., Khan, A. N.,
(2021).
"A Higher-Order Unconditionally Stable Scheme for the Solution of Fractional Diffusion Equation."
Mathematical Methods in the Applied Sciences
, Vol.
44 (4) , pp.
3004-3022.
DOI:
https://doi.org/10.1002/mma.6406 | Impact Factor:
1.8
-
Ullah, S., Zulfiqar, S., Buhader, A. A., Khan, A. N.,
(2021).
"Analysis of Caputo-Fabrizio Fractional Order Semi-Linear Parabolic Equations via Amalgamated Technique."
Physica Scripta
, Vol.
96 (3) , pp.
035214.
DOI:
https://doi.org/10.1088/1402-4896/abd796 | Impact Factor:
2.6
[Link]
-
Razzaq, A. O., Khan, A. N., Faizan, M., Ara, A., Ullah, S.,
(2021).
"Behavioral Response of Population on Transmissibility and Saturation Incidence of Deadly Pandemic through Fractional Order Dynamical System."
Results in Physics
, Vol.
26 , pp.
104438.
DOI:
https://doi.org/10.1016/j.rinp.2021.104438 | Impact Factor:
4.6
-
Yin, J., Zhang, X., Hamid, A., Rehman, U. I. M., Yang, D., Ullah, S.,
(2021).
"Delineating Impact of Viscous Dissipation and Non-Uniform Heat Source/Sink on Viscous Fluid Flow Towards a Stretching Surface."
Proceedings of the Institution of Mechanical Engineers, Part E: Journal of Process Mechanical Engine
.
DOI:
https://doi.org/10.1177/09544089211050461 | Impact Factor:
2.2
[Link]
-
Yang, D., Rehman, U. I. M., Hamid, A., Ullah, S.,
(2021).
"Multiple Solutions for Stagnation-Point Flow of Unsteady Carreau Fluid along a Permeable Stretching/Shrinking Sheet with Non-Uniform Heat Generation."
Coatings
, Vol.
11 (9) , pp.
1012.
DOI:
https://doi.org/10.3390/coatings11091012 | Impact Factor:
2.8
[Link]
-
Tlili, I., Shah, A. N., Ullah, S., Manzoor, H.,
(2021).
"New Idea of Atangana- Baleanu Time-Fractional Derivative to Advection-Diffusion Equation."
Mathematical Methods in the Applied Sciences
, Vol.
44 (3) , pp.
2521-2531.
DOI:
10.1002/mma.6123 | Impact Factor:
1.8
-
Ullah, S., Butt, K. I. A., Buhader, A. A.,
(2021).
"Numerical Investigation with Stability Analysis of Time-Fractional Korteweg-de Vries Equations."
Mathematical Methods in the Applied Sciences
, Vol.
44 (4) , pp.
3111-3126.
DOI:
https://doi.org/10.1002/mma.6498 | Impact Factor:
1.8
-
Tanveer, M., Ullah, S., Shah, A. N.,
(2021).
"Thermal Analysis of Free Convection Flows of Viscous Carbon Nanotubes Nanofluids with Generalized Thermal Transport: A Prabhakar Fractional Model."
Journal of Thermal Analysis and Calorimetry
, Vol.
144 , pp.
2327-2336.
DOI:
https://doi.org/10.1007/s10973-021-10643-3 | Impact Factor:
3.1
[Link]
-
DeYang, D., Ullah, S., Tanveer, M., Farid, S., Rehman, U. I. M., Shah, A. N., Chung, D. J.,
(2021).
"Thermal Transport of Natural Convection Flow of Second Grade Bio-Nanofluid in a Vertical Channel."
Case Studies in Thermal Engineering
, Vol.
28 , pp.
101377.
DOI:
https://doi.org/10.1016/j.csite.2021.101377 | Impact Factor:
6.4
-
Bajwa, S., Ullah, S., Khan, I., Asad, A. F. M.,
(2021).
"Transient Flow of Jeffrey Fluid over a Permeable Wall."
Mathematical Problems in Engineering
, Vol.
2021 , pp.
9999949.
DOI:
https://doi.org/10.1155/2021/9999949 | Impact Factor:
1.43
-
Khan, A. N., Qureshi, A. M., Hameed, T., Akbar, S., Ullah, S.,
(2020).
"Behavioral Effects of a Four-Wing Attractor with Circuit Realization: A Cryptographic Perspective on Immersion."
Communications in Theoretical Physics
, Vol.
72 (12) , pp.
125004.
DOI:
https://doi.org/10.1088/1572-9494/abb7d1 | Impact Factor:
2.9
-
Ghaffar, F., Ullah, S., Badshah, N.,
(2020).
"Multigrid Method with Eighth-Order Compact Finite Difference Scheme for Helmholtz Equation."
Physica Scripta
, Vol.
95 (5) , pp.
055221.
DOI:
https://doi.org/10.1088/1402-4896/ab68fe | Impact Factor:
2.6
-
Ullah, S., Akhtar, K., Khan, A. N., Mubarik, M.,
(2020).
"Study of Free Convective Unsteady Magnetohydrodynamic Flow of Oldroyd-B Fluid in the Presence of Chemical Reaction."
Advances in Mechanical Engineering
, Vol.
12 (7) , pp.
1-13.
DOI:
https://doi.org/10.1177/1687814020937518 | Impact Factor:
2.0
[Link]
-
Ullah, S., Akhtar, K., Khan, A. N., Ullah, A.,
(2019).
"Analysis of Thin Film Flow of Generalized Maxwell Fluid Confronting Withdrawal and Drainage on Non-Isothermal Cylindrical Surfaces."
Advances in Mechanical Engineering
, Vol.
11 (10) , pp.
1-19.
DOI:
https://doi.org/10.1177/1687814019881005 | Impact Factor:
2.0
-
Nisa, U. Z., Shah, A. N., Tlili, I., Ullah, S., Nazar, M.,
(2019).
"Natural Convection Flow of Second Grade Fluid with Thermal Radiation and Damped Thermal Flux between Vertical Channels."
Alexandria Engineering Journal
, Vol.
58 (4) , pp.
1119 – 1125.
DOI:
https://doi.org/10.1016/j.aej.2019.09.014 | Impact Factor:
6.8
-
Ara, A., Khan, A. N., Sultan, F., Ullah, S.,
(2019).
"Numerical Simulation of Jeffery-Hamel flow of Bingham Plastic Fluid and Heat Transfer in the Presence of Magnetic Field."
Applied and Computational Mathematics
, Vol.
18 (2) , pp.
135 – 148.
| Impact Factor:
4.3
[Link]
-
Idrees, M., Muhammad, S., Ullah, S.,
(2019).
"Robust Hierarchical Sliding Mode Control with State-dependent Switching Gain for Stabilization of a Rotary Inverted Pendulum."
Kybernetika
, Vol.
55 (3) , pp.
455 – 471.
DOI:
https://doi.org/10.14736/kyb-2019-3-0455 | Impact Factor:
2.2
[Link]
-
Idrees, M., Ullah, S., Muhammad, S.,
(2019).
"Sliding Mode Control Design for Stabilization of Underactuated Mechanical Systems."
Advances in Mechanical Engineering
, Vol.
11 (5) , pp.
1-10.
DOI:
https://doi.org/10.1177/1687814019842712 | Impact Factor:
2.0
-
Ullah, S., Tanveer, M., Bajwa, S.,
(2019).
"Study of Velocity and Shear Stress for Unsteady Flow of Incompressible Oldroyd-B Fluid between Two Concentric Rotating Circular Cylinders."
Hacettepe Journal of Mathematics and Statistics
, Vol.
48 (2) , pp.
372 – 383.
DOI:
https://doi.org/10.15672/hujms.545240 | Impact Factor:
0.9
[Link]
-
Uddin, I., Khan, A. M., Ullah, S., Islam, S., Israr, M., Hussain, F.,
(2018).
"Characteristics of Buoyancy Force on Stagnation Point Flow with Magneto-Nanoparticles and Zero Mass Flux Condition."
Results in Physics
, Vol.
8 (3) , pp.
160 – 168.
DOI:
https://doi.org/10.1016/j.rinp.2017.10.038 | Impact Factor:
4.6
-
Khan, A. N., Naz, F., Khan, A. N., Ullah, S.,
(2018).
"MHD Nonaligned Stagnation Point Flow of Second Grade Fluid towards a Porous Rotating Disk."
Nonlinear Engineering
, Vol.
8 (1) , pp.
231 – 249.
DOI:
https://doi.org/10.1515/nleng-2017-0063 | Impact Factor:
1.5
-
Khan, A. N., Saeed, B. U., Sultan, F., Ullah, S., Rehman, A.,
(2018).
"Study of Velocity and Temperature Distributions in Boundary Layer Flow of Fourth Grade Fluid over an Exponential Stretching Sheet."
AIP Advances
, Vol.
8 (2) , pp.
025011.
DOI:
https://doi.org/10.1063/1.5014047 | Impact Factor:
1.4
-
Bhatti, I., Farid, S., Ullah, S., Riaz, S., Faryad, M.,
(2018).
"Surface Tension Effects on Fully Developed Liquid Layer Flow over a Convex Corner."
AIP Advances
, Vol.
8 (4) , pp.
045206.
DOI:
https://doi.org/10.1063/1.5013197 | Impact Factor:
1.4
-
Khan, A. N., Khan, A. N., Ullah, S., Naz, F.,
(2018).
"Swirling Flow of Couple Stress Fluid Due to a Rotating Disk."
Nonlinear Engineering
, Vol.
8 (1) , pp.
261 – 269.
DOI:
https://doi.org/10.1515/nleng-2017-0062 | Impact Factor:
1.5
[Link]
-
Khan, A. N., Aziz, S., Ullah, S.,
(2017).
"Entropy Generation on MHD Flow of Powell-Eyring Fluid Between Radially Stretching Rotating Disk with Diffusion-Thermo and Thermo-Diffusion Effects."
Acta Mechanica et Automatica
, Vol.
11 (1) , pp.
20 - 32.
DOI:
https://doi.org/10.1515/AMA-2017-0004 | Impact Factor:
1.1
-
Tanveer, M., Ullah, S., Khan, A. N., Khan, A. N., Rehman, N.,
(2017).
"MHD Flow of Generalized Oldroyd-B Fluid Over an Infinite Oscillating Plate with Slip Condition Using Fox H-Function."
J. Comput. Theor. Nanosci.
, Vol.
14 (3) , pp.
1362 – 1370.
DOI:
https://doi.org/10.1166/jctn.2017.6458 | Impact Factor:
1.666
-
Ullah, S., Khan, A. N., Bajwa, S., Khan, A. N., Tanveer, M., Liaqat, K.,
(2017).
"Some Exact Solutions for the Rotational Flow of Oldroyd-B Fluid Between Two Circular Cylinders."
Advances in Mechanical Engineering
, Vol.
9 (8) , pp.
1-15.
DOI:
https://doi.org/10.1177/1687814017724702 | Impact Factor:
2.0
-
Khan, A. M., Ullah, S., Ching, L. C. D., Khan, I., Ullah, S., Islam, S., Gul, T.,
(2016).
"A Mathematical Study of an Epidemic Disease Model Spread by Rumors."
J. Comput. Theor. Nanosci.
, Vol.
13 (5) , pp.
2856 – 2866.
DOI:
https://doi.org/10.1166/jctn.2016.4929 | Impact Factor:
1.666
-
Mahmood, S., Khan, H. U. A., Ullah, S.,
(2016).
"Assessment of 2010 Flash Flood Causes and Associated Damages in Dir Valley Khyber Pakhtunkhwa Pakistan."
International Journal of Disaster Risk Reduction
, Vol.
16 , pp.
215 – 223.
DOI:
https://doi.org/10.1016/j.ijdrr.2016.02.009 | Impact Factor:
4.5
[Link]
-
Khan, M., Ullah, S., Al-Hossain, A. Y., Bashir, N.,
(2015).
"Improved Ratio-Type Estimators using Maximum and Minimum Values under Simple Random Sampling Scheme."
Hacettepe Journal of Mathematics and Statistics
, Vol.
44 (4) , pp.
923 – 931.
| Impact Factor:
0.9
[Link]
-
Khan, A. N., Khan, S., Ullah, S.,
(2015).
"MHD Flow of Burger’s Fluid over an Off-Centred Rotating Disk in a Porous Medium."
AIP Advances
, Vol.
5 (8) , pp.
087179.
DOI:
https://doi.org/10.1063/1.4929972 | Impact Factor:
1.4
[Link]
-
Ullah, S.,
(2015).
"Some Exact Analytical Solutions for Two-Dimensional Flow of an Incompressible Second Grade Fluid."
J. Fluids Eng.
, Vol.
137 (10) , pp.
101206.
DOI:
https://doi.org/10.1115/1.4030491 | Impact Factor:
2.4
-
Ullah, S., Maqbool, I.,
(2015).
"Some Exact Solutions to Equations of Motion of an Incompressible Second Grade Fluid."
J. Fluids Eng.
, Vol.
137 (1) , pp.
011205.
DOI:
https://doi.org/10.1115/1.4027826 | Impact Factor:
2.4
[Link]
-
Ullah, S., Ullah, A., Iqbal, M. M.,
(2015).
"Withdrawal and Drainage of Thin Film Flow of a Generalized Oldroyd-B Fluid on Non-Isothermal Cylindrical Surfaces."
AIP Advances
, Vol.
5 (12) , pp.
127242.
DOI:
https://doi.org/10.1063/1.4939634 | Impact Factor:
1.4
[Link]
-
Ullah, S.,
(2013).
"Two-Level Decay Quantum System with Open-Loop Control Optical Field."
Journal of the Optical Society of America B
, Vol.
30 (2) , pp.
428 – 430.
DOI:
https://doi.org/10.1364/JOSAB.30.000428 | Impact Factor:
1.9
[Link]
-
Borisenok, S., Saifullah
(2011).
"Linear Feedforward Control of Two-Level Quantum System by Modulated External Field."
Optics Communications
, Vol.
284 (14) , pp.
3562 – 3567.
DOI:
https://doi.org/10.1016/j.optcom.2011.03.019 | Impact Factor:
2.5
[Link]
-
Mahmood, A., Saifullah, Rubab, Q.,
(2008).
"Exact Solutions for a Rotational Flow of Generalized Second Grade Fluids through a Circular Cylinder."
Buletinul Academiei De Stiinte A Republicii Moldova Matematica
, Vol.
58 (3) , pp.
9 – 17.
-
Saifullah
(2008).
"Feedback Control of Probability Amplitudes for Two – Level Atom in Optical Field."
Optics Communications
, Vol.
281 (4) , pp.
640 – 643.
DOI:
https://doi.org/10.1016/j.optcom.2007.10.003 | Impact Factor:
2.5
[Link]
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Mahmood, A., Saifullah, Bolat, G.,
(2008).
"Some Exact Solutions for the Rotational Flow of a Generalized Second Grade Fluid between Two Circular Cylinders."
Archives of Mechanics
, Vol.
60 (5) , pp.
385-401.
DOI:
https://doi.org/10.48550/arXiv.0803.4265 | Impact Factor:
1.2
[Link]
-
Ullah, S.,
(2008).
"Some Exact Solutions to Equations of Motion of an Incompressible Third Grade Fluid."
J. Fluids Eng.
, Vol.
130 (6) , pp.
061401.
DOI:
https://doi.org/10.1115/1.2928407 | Impact Factor:
2.4
[Link]
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Borisenok, S., Saifullah
(2007).
"Example of Open-Loop Control in Quantum Optics: Two - Level Atom in Modulated Optical Field."
Physics at Schools and Higher Educational Establishments. The International Collection of Scientific
, Vol.
6 , pp.
18-21.
-
Pozdnyakov, S., Saifullah
(2007).
"Mathematical Computer Tools in Preparing of Professional Mathematicians."
Math Track
, Vol.
3 , pp.
78 - 90.
-
Ullah, S., Borisenok, S., Rozhdestvensky, Yu, V.,
(2007).
"Shell Model of Open-Loop Optical Control for Atomic Beam Focusing in Momentum Space."
Proc. Int. Conf. Phys. Cont.
, Vol.
PhysCon’ 07 , pp.
1340 – 1344.
-
Ahmad, B., Borisenok, S., Saifullah, Rozhdestvensky, Yu, V.,
(2006).
"Open-Loop Control of Quantum Particle Motion: Effective Splitting in Momentum Space."
Journal of Prime Research in Mathematics
, Vol.
2 , pp.
208 – 216.