Dr. Sadia Arshad
Associate Professor, Mathematics
Area of Interest: Mathematical Biology, Modeling, Fractional Calculus, Numerical Methods, Ordinary and Partial Differential Equations.
Tel # (Off): 111-001-007   (186)
HEC approved PhD Supervisor

Dr. Sadia Arshad is an Associate Professor of Mathematics at COMSATS University Islamabad, Lahore Campus. She received PhD degree (Mathematics) in 2013 and BS(Hons) in 2008 with Gold Medal awarded by University of the Punjab. She was a Post-Doc Fellow at Chinese Academy of Sciences during 2015-201. Dr. Sadia’s research interest includes computational modeling, differential equations, numerical methods and fractional calculus. Mathematical modeling is useful to reach an understanding of the systems of the real world of their inner structure and behaviour. Fractional calculus is a rapidly evolving field and mathematical interest in this developing field has given access to its numerous applications in control theory, biological systems, medicine, epidemiology, experimental data fitting, and many more important fields of science and engineering. She has been actively involved in conducting research and has a number of research papers to her credit that have published in prestigious journals.



  • Best Young Scientist 2019, awarded in the International Conference on Computational Methods in Applied Sciences, Istanbul Turkey.
  • Postdoc Scholarship 2015, awarded by the Chinese Academy of Sciences
  • General Financial Grant 2016 awarded by the China Postdoctoral Science Foundation
  • Research Productivity Award 2013, 2014, 2015 and 2016 awarded by COMSATS University Islamabad.
  • Gold Medal 2010, awarded by University of the Punjab.
  • Excellent Performance Certificate 2010, awarded by the GC University Lahore, for excellent performance in Ph.D course work.
  • HEC approved supervisor for PhD-level students in the field of Mathematics.


International Conferences/Schools Attended:

  1. International Conference on Computational Methods in Applied Sciences, 2019, Istanbul Turkey.
  2. Localized Kernel-Based Meshless Methods for Partial Differential Equations, 2017, USA.
  3. 11th Americas Conference on Differential Equations and Nonlinear Analysis (Americas XI), 2017, Canada.
  4. The VI Applied Mathematics, Modeling and Computational Science (AMMCS) International conference, 2017, Canada.
  5. BIOMAT 2016: Cell Dynamics and Polymerization, 2016, Granada Spain.
  6. CIMPA School: Mathematical modeling in Biology and Medicine, 2016, Santiago de Cuba.
  7. The International Conference Mathematical and Computational Modelling in Science and Technology, 2015, Izmir-Turkey.
  8. CIMPA School: Tilings and Tesselations, 2015, Isfahan University of Technology & Isfahan Mathematics House, Iran.
  9. CIMPA School: Aspects of Dynamical Systems, 2014, Tribuvan University, Kathmandu, Nepal.
  10. CIMPA School: Numerical methods in fluid mechanics, mathematical epidemiology and reaction-diffusion system, 2013, Université Gaston Berger, Saint-Louis, Senegal.
  11. ICTP-ESF School and Conference in Dynamical Systems, 2012, ICTP, Trieste Italy.



1. Fractional Dynamical Models and their Applications funded by TUBITAK (2018-2021).

2. Fractional Evolution Equations and Dynamics of Epidemic Models funded by Chinese Academy of Sciences (2015-2017).


Journal Papers:
1. Sadia Arshad, Imran Siddique, Fariha Nawaz, Aqila Shaheen, Hina Khurshid (2023), "Dynamics of a fractional order mathematical model for COVID-19 epidemic transmission", Physica A, Vol: 609, Impact Factor: 3.778   
2. M. Wali, Sadia Arshad, J. Huang (2022), "Stability Analysis of an Extended SEIR COVID-19 Fractional Model with Vaccination Efficiency", Computational and Mathematical Methods in Medicine , Vol: 2022, Impact Factor: 2.809   
3. Sadia Arshad, Sadia Khalid, Sana Javed, Naima Amin, Fariha Nawaz (2022), "Modeling the impact of the vaccine on the COVID-19 epidemic transmission via fractional derivative", The European Physical Journal Plus, Vol: 137:802, Impact Factor: 3.758   
4. Saira Saddiqui, Saima Parveen, Sadia Arshad (2022), "Numerical solution of ABC time-space fractional diffusion equation", Arab Journal of Basic and Applied Sciences, pp: 129-137, Vol: 29, Issue: 1, Impact Factor: 0.410   
5. Sadia Arshad, M. Wali, J. Huang, S. Khalid, N. Akbar (2021), "Numerical framework for the Caputo time-fractional diffusion equation with fourth order derivative in space", Journal of Applied Mathematics and Computing, DOI: 10.1007/s12190-021-01635-5   
6. Sadia Arshad, Iram Saleem, Ozlem Defterli, Yifa Tang and Dumitru Baleanu (2021), "Simpson’s method for fractional differential equations with a non-singular kernel applied to a chaotic tumor model", Physica Scripta, Vol: 96   
7. J. Huang, Zhi Qiao, J. Zhang, Sadia Arshad, Y. Tang, (2021), "Two linearized schemes for time fractional nonlinear wave equations with fourth-order derivative", Journal of Applied Mathematics and Computing, pp: 561–579, Vol: 66, DOI: org/10.1007/s12190-020-01449-x    
8. Jianfei Huang, Jingna Zhang, Sadia Arshad, Yifa Tang (2021), "A Numerical Method for Two-Dimensional Multi-Term Time-Space Fractional Nonlinear Diffusion-Wave Equations", Applied Numerical Mathematics , pp: 159-173, Vol: 159   
9. J. Huang, J. Zhang, Sadia Arshad, Y. Tang (2021), "A superlinear convergence scheme for the multi-term and distribution-order fractional wave equation with initial singularity", Numerical Methods for Partial Differential Equations , pp: 1-16, Vol: 37, Issue: 4   
10. A. Shaheen, J. Sheng, Sadia Arshad, M. Hafeez & S. Salam (2020), "Forecasting the determinants of environmental degradation: a gray modelling approach", Energy Sources, Part A: Recovery, Utilization, and Environmental Effects, DOI: 10.1080/15567036.2020.1827090   
11. Sadia Arshad, D. Baleanu, O. Defterli (2020), "A second order accurate approximation for fractional derivatives with singular and non-singular kernel applied to HIV model", Applied Mathematics and Computation, pp: 125061, Vol: 374    
12. Jingna Zhang, Haobo Gong, Sadia Arshad, Jianfei Huang (2020), " A Super linear Numerical Scheme for Multi-Term Fractional Nonlinear Ordinary Differential Equations", International Journal of Modelling, Simulation and Scientific Computing, pp: 2050015, Vol: 11, Issue: 2   
13. A. Shaheen, J. Sheng, S. Arshad, S. Salam, M. Hafeez (2020), "The dynamic linkage between Income, energy consumption, urbanization and carbon emissions in Pakistan ", Polish Journal of Environmental Studies, pp: 1-10, Vol: 29, Issue: 1   
14. Sadia Arshad, Tugba Akman Yildiz, Dumitru Baleanu, Yifa Tang (2020), "The role of obesity in fractional order tumor-immune model", U.P.B. Sci. Bull., Series A, Vol: 82, Issue: 2   
15. J. Huang, Y. Zhao, Sadia Arshad, K. Li, Y. Tang (2019), "Alternating direction implicit schemes for the two-dimensional time fractional nonlinear super-diffusion equations", Journal of Computational Mathematics, pp: 297–315, Vol: 37, Issue: 3   
16. A. Jajarmi, S. Arshad, D. Baleanu (2019), "A new fractional modelling and control strategy for the outbreak of dengue fever", Physica A , pp: 122524, Vol: 535   
17. Sadia Arshad, D. Baleanu, O. Defterli, and Shumaila (2019), "A numerical framework for the approximate solution of fractional tumor-obesity model", International Journal of Modeling, Simulation, and Scientific Computing , pp: 1-13, Vol: 10, Issue: 1   
18. J. Huang, Sadia Arshad, Y. Jiao, Y.Tang (2019), "Convolution Quadrature Methods for Time-Space Fractional Nonlinear Diffusion-Wave Equations", East Asian J. Appl. Math., pp: 538-557, Vol: 9    
19. A. Shaheen, M. I. Asjad, S. Arshad (2019), "Three Dimensional Flow of Nanofluids over an Exponential Horizontal Nonlinear Sheet Saturated in Porous Medium", International Journal of Heat and Technology, pp: 555-561, Vol: 37, Issue: 2   
20. Sadia Arshad, D. Baleanu, J. Huang, M. M. A. Qurashi, Y. Tang, Y. Zhao (2018), "Finite Difference Method for Time-Space Fractional Advection–Diffusion Equations with Riesz Derivative", Entropy, Vol: 20, DOI: 10.3390/e20050321   
21. Sadia Arshad, D. Baleanu, J. Huang, Y. Tang, Y. Zhao (2018), "Fourth order finite difference method for time-space fractional diffusion equations", East Asian Journal on Applied Mathematics, pp: 764-781, Vol: Vol. 8, Issue: 4    
22. T. Aukman, S. Arshad, D. Baleanu, (2018), "New observations on optimal cancer treatments for a fractional tumor growth model with and without singular kernel", Chaos, Solitons and Fractals: the interdisciplinary journal of Nonlinear Science, and Nonequilibrium and Complex Phenomena, pp: 226-239, Vol: 117   
23. T. Aukman, S. Arshad, D. Baleanu, (2018), "Optimal chemotherapy and immunotherapy schedules for a cancer-obesity model with Caputo time fractional derivative", Mathematical Methods in Applied Sciences, pp: 1-18   
24. S. Arshad, D. Baleanu, W. Bu, Y. Tang (2017), "Effects of HIV infection on CD4+ T-cell population based on a fractional-order model", Advances in Difference Equations, pp: 1-14, Vol: 2017   
25. S. Arshad, W. Bu, J. Huang, Y. Tang, Y, Zhao (2017), "Finite difference method for time-space linear and nonlinear fractional diffusion equations", International Journal of Computer Mathematics, pp: 1-16, Vol: 2017   
26. S. Arshad, J. Huang, A. Q.M. Khaliq, Y. Tang (2017), "Trapezoidal scheme for time-space fractional diffusion equation with Riesz derivative", Journal of Computational Physics, pp: 1-15, Vol: 350   
27. M. Alipour, S. Arshad, D. Baleanu (2016), "Approximate Analytical Solution for Multi-order Fractional Model of HIV Infection of CD4+T-Cells", U.P.B. Sci. Bull, Vol: 78, Issue: 4   
28. S. Arshad, D. Baleanu, J. Huang, Y. Tang, M.M. Al Qurashi (2016), "Dynamical Analysis of Fractional Order Model of Immunogenic Tumors", Advances in Mechanical Engineering, pp: 1–13, Vol: 8(7)   
29. Sadia Arshad, Ayesha Sohail, Sana Javed (2015), "Dynamical Study of Fractional Order Tumor Model", International Journal of Computational Methods, pp: 1-12, Vol: 12, No. 5    
30. R.P. Agarwal, S. Arshad, V. Lupulescu, D. O’Regan (2015), "Evolution Equations with Causal Operator", Differential Equations and Applications, pp: 15–26, Vol: 7 No. 1    
31. Ayesha Sohail, Sadia Arshad, Sana Javed (2015), "Numerical Solutions of Fractional Order Tumor Model", International Journal of Biomathematics, pp: 1-13, Vol: 8, No. 5    
32. A. Zada, S. Arshad, G. Rahmat, and A. Khan, (2015), "On the Dichotomy of Non-Autonomous Systems over Finite Dimensional Spaces", Appl. Math. Inf. Sci., pp: 1-6, Vol: 9 , Issue: 4   
33. Sadia Arshad , Vasile Lupulescu , D. O’Regan (2014), "Lp solutions for fractional integral equations", Fractional Calculus and Applied Analysis, pp: 259-276, Vol: 17, Issue: 1, Standard: Print 1311-0454, Electronic 1314-2444, Impact Factor: 2.974   
34. Sadia Arshad, Vasile Lupulescu (2013), "On class of controlled functional differential inclusions", Le Matematiche, pp: 53-64 , Vol: 2013, Standard: 2037-5298   
35. Sadia Arshad (2013), "On existence and uniqueness of solution of fuzzy fractional differential equations", Iranian Journal of Fuzzy systems, pp: 137-151, Vol: 10, Issue: 6, Standard: 1735-0654   
36. R.P. Agarwal, Sadia Arshad, D. O’Regan, Vasile Lupulescu (2013), "Schauder fixed point theorem in semilinear spaces and applications", Fixed point Theory and Applications, pp: 1-13, Vol: 2013, Standard: 1687-1812, Impact Factor: 2.49   
37. S.Arshad, R. Amin, G. Rahmat, A. Zada (2012), "Dichotomy of Poincare Map and Boundedness of some Cauchy Sequences", Applied Mathematics E-Notes , pp: 14-22, Vol: 12, Standard: 1607-2510   
38. R.P. Agarwal, Sadia Arshad, D. O’Regan, Vasile Lupulescu (2012), "Fuzzy fractional integral equations under compactness type condition", Fractional Calculus and Applied Analysis, pp: 572-590 , Vol: 15, Issue: 4, Standard: 1311-0454   
39. S. Arshad, C. Buse, O. Saierli (2011), "Connections between exponential stability and boundedness of solutions of a couple of differential time depending and periodic systems", Electronic Journal of Qualitative Theory of Differential Equations, pp: 1-16, Vol: 90, Standard: 1417-3875, Impact Factor: 0.74   
40. S. Arshad, C. Buse, A. Nosheen and A. Zada (2011), "Connections between the stability of a Poincare map and boundedness of certain associate sequences", Electronic Journal of Qualitative Theory of Differential Equations, pp: 1-12, Vol: 16, Standard: 1417-3875 , Impact Factor: 0.74   
41. Sadia Arshad, Vasile Lupulescu (2011), "Fractional Differential Equation with Fuzzy Initial Condition,", Electronic Journal of Differential Equations, pp: 1-8, Issue: 2011, Standard: 1072-6691, Impact Factor: 0.43    (External URL)
42. Sadia Arshad, Vasile Lupulescu (2011), "On the Fractional Differential Equations with Uncertainty", Nonlinear Analysis, pp: 3685-3693 , Vol: 74, Standard: 0362-546X, Impact Factor: 1.64   


Chinese Academy of Sciences, China
2015 to 2017
PhD Mathematics
Abdus Salam School of Mathematical Sciences, GC University, Lahore , Pakistan
2008 to 2013


University of Management and Technology, Lahore
2013 to 2013

Disclaimer: Profiles are editable by employees who may share the data of publications, experience and education upto the extent they want to share. Also CIIT Lahore is not responsible for any display of data on personal profiles.