Academic Staff

June 13, 2026, 4:31 p.m.
Muhammad Amin Sadiq Murad (PhD)
Assistance Professor - PhD, MSc
Assistant Professor in Applied Mathematics

Mathematics
College of Science
University of Duhok

  • 2023 PhD in Mathematics, University of Duhok, Iraq
  • 2014 MSc in Mathematics, Swansea University, UK
  • 2009 BSc in Mathematics, Salahaddin University Iraq

Numerical Analysis, Probability and Statistics, Operation research, Linear Algebra

Research

  1. Esscher Transform and Equivalent Martingale in Pricing Derivative Security. Cihan International Journal of Social and Science Vol 1. DOI
  2. Numerical Solution of System of Damped Forced Oscillator Ordinary Differential Equivalent Cihan International Journal of Social and Science Vol 1. DOI
  3. Optimal Production of BRA Block Factory by Using Simplex Method. Academic Journal of Nawroz University Vol 7, No. 3. DOI.
  4. Property Claim Services by Compound Poisson Process and Inhomogeneous Levy Process. Science Journal of University of Zakho, Vol 6, No 1.
  5. A New Conjugate Gradient Coefficient for Unconstrained Optimization Based On Dai-Liao. Science Journal of University of Zakho, Vol 7, No 1.
  6. Manafian, J., Murad, M. A. S., Alizadeh, A. A., & Jafarmadar, S. (2020). M-lump, interaction between lumps and stripe solitons solutions to the (2+ 1)-dimensional KP-BBM equation. The European Physical Journal Plus, 135(2), 167.
  7. Huang, M., Murad, M. A. S., Ilhan, O. A., & Manafian, J. (2020). One-, two-and three-soliton, periodic and cross-kink solutions to the (2+ 1)-D variable-coefficient KP equation. Modern Physics Letters B, 34(04), 2050045.
  8. D. H. Malo, R. Y. Masiha, M. A. S. Murad, and S. T. Abdulazeez, “A New Computational Method Based Integral Transform for Solving Linear and Nonlinear Fractional Systems”, J. Mat. Mantik, vol. 7, no. 1, pp. 9-19, May. 2021.
  9. Murad, Muhammad Amin Sadiq, and Faraidun Kadir Hamasalh. "Computational technique for the modeling on MHD boundary layer flow unsteady stretching sheet by B-spline function." 2022 International Conference on Computer Science and Software Engineering (CSASE). IEEE, 2022.
  10. Ismael, Hajar F., Muhammad Amin S. Murad, and Hasan Bulut. "M-lump waves and their interaction with multi-soliton solutions for a generalized Kadomtsev–Petviashvili equation in (3+ 1)-dimensions." Chinese Journal of Physics 77 (2022): 1357-1364.
  11. Murad, Muhammad Amin Sadiq. "Modified integral equation combined with the decomposition method for time fractional differential equations with variable coefficients." Applied Mathematics-A Journal of Chinese Universities 37.3 (2022): 404-414.
  12. Ismael, H. F., et al. "Boiti–Leon–Manna–Pempinelli equation including time-dependent coefficient (vcBLMPE): a variety of nonautonomous geometrical structures of wave solutions." Nonlinear Dynamics (2022): 1-14.
  13. Ismael, Hajar F., Muhammad Amin S. Murad, and Hasan Bulut. "Various exact wave solutions for KdV equation with time-variable coefficients." Journal of Ocean Engineering and Science 7.5 (2022): 409-418.
  14. Murad, Muhammad Amin Sadiq, and Mudhafar Hamed Hamadamen. "A New analytical Modeling for Fractional Telegraph Equation Arising in Electromagnetic." J. Mat. MANTIK 8 (2022): 124138.
  15. Murad, Muhammad Amin Sadiq, Faraidun Kadir Hamasalh, and Hajar F. Ismael. "Numerical study of stagnation point flow of Casson-Carreau fluid over a continuous moving sheet." AIMS Mathematics 8.3 (2023): 7005-7020.
  16. Murad, Muhammad Amin, Faraidun Hamasalh, and Hajar Ismael. "Numerical study of stagnation point flow of Casson fluid over a continuous moving surface." Frontiers in Heat and Mass Transfer (FHMT) 20 (2023).
  17. Murad, Muhammad Amin Sadiq, Faraidun Kadir Hamasalh, and Hajar Farhan Ismael. "Time-fractional Chen–Lee–Liu equation: various optical solutions arise in optical fiber." Journal of Nonlinear Optical Physics & Materials (2023).
  18. Ismael, Hajar F., et al. "Analysis of Tangent Hyperbolic over a Vertical Porous Sheet of Carreau Fluid and Heat Transfer." CFD Letters 15.5 (2023): 86-96.
  19. Sadiq Murad, Muhammad Amin, and Faraidun Kadir Hamasalh. "Numerical Study for Fractional-Order Magnetohydrodynamic Boundary Layer Fluid Flow Over Stretching Sheet." Punjab University Journal of Mathematics55.2 (2023).

20. Murad, Muhammad Amin Sadiq, Faraidun Kadir Hamasalh, and Hajar Farhan Ismael. "Various optical solutions for time-fractional Fokas system arises in monomode optical fibers." Optical and Quantum Electronics 55.4 (2023): 300.

21. Murad, Muhammad Amin Sadiq, Faraidun Kadir Hamasalh, and Hajar Farhan Ismael. "Optical soliton solutions for time-fractional Fokas system in optical fiber by new Kudryashov approach." Optik 280 (2023): 170784.

22. Murad, Muhammad Amin Sadiq. ",m." Optik 283 (2023): 170897.

23. Murad, Muhammad Amin Sadiq, Faraidun Kadir Hamasalh, and Hajar Farhan Ismael. "Various exact optical soliton solutions for time fractional Schrodinger equation with second-order spatiotemporal and group velocity dispersion coefficients." Optical and Quantum Electronics 55.7 (2023): 607.

24. M. Modanli, M. A. S. Murad, and S. T. Abdulazeez, “A new computational method-based integral transform for solving time-fractional equation arises in electromagnetic waves,” Zeitschrift für Angew. Math. und Phys., vol. 74, no. 5, p. 186, 2023.

25. M. A. S. Murad, H. F. Ismael, F. K. Hamasalh, N. A. Shah, and S. M. Eldin, “Optical soliton solutions for time-fractional Ginzburg–Landau equation by a modified sub-equation method,” Results Phys., vol. 53, p. 106950, 2023.

26. M. A. S. Murad, F. K. Hamasalh, and H. F. Ismael, “Heat transfer of a Carreau fluid in a thin elastic film over an unsteady stretching sheet,” Int. J. Mod. Phys. B, vol. 37, no. 27, p. 2350313, 2023.

27. U. Younas, H. F. Ismael, T. A. Sulaiman, M. A. S. Murad, N. A. Shah, and M. Sharifpur, “A diversity of patterns to new (3+ 1)-dimensional Hirota bilinear equation that models dynamics of waves in fluids,” Results Phys., vol. 54, p. 107124, 2023.

28. M. A. S. Murad, H. F. Ismael, T. A. Sulaiman, N. A. Shah, and J. D. Chung, “Higher-order time-fractional Sasa–Satsuma equation: Various optical soliton solutions in optical fiber,” Results Phys., p. 107162, 2023.

29. M. A. S. Murad, H. F. Ismael, T. A. Sulaiman, and H. Bulut, “Analysis of optical solutions of higher-order nonlinear Schrödinger equation by the new Kudryashov and Bernoulli’s equation approaches,” Opt. Quantum Electron., vol. 56, no. 1, p. 76, 2024.

30. U. Younas, F. Yao, H. F. Ismael, T. A. Sulaiman, and M. A. S. Murad, “Sensitivity analysis and propagation of optical solitons in dual-core fiber optics,” Opt. Quantum Electron., vol. 56, no. 4, p. 548, 2024.

31. M. A. S. Murad, “Perturbation of optical solutions and conservation laws in the presence of a dual form of generalized nonlocal nonlinearity and Kudryashov’s refractive index having quadrupled power-law,” Opt. Quantum Electron., vol. 56, no. 5, p. 864, 2024, doi: 10.1007/s11082-024-06676-1.

32. M. A. S. Murad, W. A. Faridi, M. Iqbal, A. H. Arnous, N. A. Shah, and J. D. Chung, “Analysis of Kudryashov’s equation with conformable derivative via the modified Sardar sub-equation algorithm,” Results Phys., p. 107678, 2024.

33. M. A. S. Murad, “Analysis of time-fractional Schrödinger equation with group velocity dispersion coefficients and second-order spatiotemporal effects: a new Kudryashov approach,” Opt. Quantum Electron., vol. 56, no. 5, pp. 1–16, 2024.

34. Murad, M.A.S., 2024. Optical solutions with Kudryashov’s arbitrary type of generalized non-local nonlinearity and refractive index via the new Kudryashov approach. Optical and Quantum Electronics, 56(6), p.999.

35. Iqbal, M., Lu, D., Faridi, W.A., Murad, M.A.S. and Seadawy, A.R., 2024. A Novel Investigation on Propagation of Envelop Optical Soliton Structure Through a Dispersive Medium in the Nonlinear Whitham–Broer–Kaup Dynamical Equation. International Journal of Theoretical Physics, 63(5), pp.1-18.

36. Murad, M.A.S., 2024. Analyzing the time-fractional (3+ 1)-dimensional nonlinear Schrödinger equation: a new Kudryashov approach and optical solutions. International Journal of Computer Mathematics, pp.1-14.

37. Younas, U., Muhammad, J., Ismael, H.F., Murad, M.A.S. and Sulaiman, T.A., 2024. Optical fractional solitonic structures to decoupled nonlinear Schrödinger equation arising in dual-core optical fibers. Modern Physics Letters B, p.2450378.

38. Zayed, E.M., Al-Nowehy, A.G., Arnous, A.H., Hashemi, M.S., Murad, M.A.S. and Bayram, M., 2024. Investigating the generalized Kudryashov’s equation in magneto-optic waveguide through the use of a couple integration techniques. Journal of Optics, pp.1-17.

39. Murad, M.A.S., 2024. Optical solutions for perturbed conformable Fokas–Lenells equation via Kudryashov auxiliary equation method. Modern Physics Letters B, p.2450418.

40. M. A. S. Murad, S. S. Mahmood, H. Emadifar, W. W. Mohammed, and K. K. Ahmed, “Optical soliton solution for dual-mode time-fractional nonlinear Schrödinger equation by generalized exponential rational function method,” Results Eng., vol. 27, p. 105591, 2025.

41. M. A. S. Murad, “Optical solutions to conformable nonlinear Schrödinger equation with cubic–quintic–septimal in weakly non-local media by new Kudryashov approach,” Mod. Phys. Lett. B, p. 2550063, 2024.

42. E. M. E. Zayed, M. El-Shater, M. A. S. Murad, A. Secer, M. Ozisik, and A. H. Arnous, “Highly dispersive gap solitons with the Kaup–Newell in fiber Bragg grating with white noise effects,” Mod. Phys. Lett. B, vol. 39, no. 26, p. 2550129, 2025.

43. M. A. Mustafa and M. A. S. Murad, “Soliton solutions to the time-fractional Kudryashov equation: Applications of the new direct mapping method,” Mod. Phys. Lett. B, p. 2550147, 2025.

44. F. M. Omar, M. A. S. Murad, S. S. Mahmood, S. Malik, and T. Radwan, “Optical solitons, bifurcation, and chaos in the nonlinear conformable Schrödinger equation with group velocity dispersion coefficients and second-order spatiotemporal terms,” Sci. Rep., vol. 15, no. 1, p. 20073, 2025.

45. E. M. E. Zayed, M. S. Hashemi, B. M. M. Saad, M. A. S. Murad, A. H. Arnous, and M. Bayram, “Analytical solutions of stochastic partial differential equations in nanobioscience: exploring multiplicative noise effects,” Eur. Phys. J. Plus, vol. 140, no. 7, pp. 1–12, 2025.

46. S. S. Mahmood and M. A. S. Murad, “Formulation of quiescent optical solutions in the nonlinear Schrödinger equation with nonlinear chromatic dispersion and Kudryashov’s generalized quintuple-power law,” J. Opt., pp. 1–11, 2025.

47. M. A. S. Murad et al., “Soliton solutions to the generalized derivative nonlinear Schrödinger equation under the effect of multiplicative white noise and conformable derivative,” Sci. Rep., vol. 15, no. 1, pp. 1–15, 2025.

48. M. A. Mustafa and M. A. S. Murad, “Formulation of optical soliton solutions for conformable concatenation model using two analytical algorithms,” Int. J. Comput. Math., pp. 1–16, 2025.

49. M. A. S. Murad, F. M. Omar, and S. S. Mahmood, “Analyzing the generalized integrable (2+ 1)-dimensional nonlinear conformable Schrödinger system via the Kudryashov auxiliary equation method: optical soliton solutions,” J. Opt., pp. 1–12, 2025.

50. M. A. S. Murad, A. H. Arnous, M. S. Hashemi, and M. Mirzazadeh, “Optical solutions for time-fractional nonlinear Schrödinger equation with Kudryashov’s arbitrary type of generalised nonlinear and refractive index via the new Kudryashov approach,” Pramana, vol. 99, no. 2, p. 63, 2025.

51. M. A. Mustafa and M. A. S. Murad, “Optical soliton solutions to the generalized derivative nonlinear Schrödinger equation with multiplicative white noise,” J. Opt., pp. 1–14, 2025.

52. M. A. S. Murad and M. A. Mustafa, “Nonlinear conformable Schrödinger equation in weakly nonlocal media using a new generalized computational technique,” Int. J. Comput. Math., pp. 1–17, 2025.

Applied Mathematics

Supervision on Master and Ph.D degree.