A fractional models of some partial differential equations and analytical approximate solution arising in mathematical sciences
*Qays Jasem HusseinCorresponding authorqaisalsaadm@gmail.comCollege of Education For Pure Sciences (Ibn Al-Haitham) University of Baghdad Department of Mathematics College of Education for Pure Sciences (Ibn Al-Haitham) University of BaghdadBaghdad, IraqView full profile → , Huda Omran Altaiehuda.h.o@ihcoedu.uobaghdad.edu.iqCollege of Education For Pure Sciences (Ibn Al-Haitham) University of Baghdad Department of Mathematics College of Education for Pure Science (Ibn Al-Haitham) University of Baghdad Baghdad, 10071, IraqView full profile →
* Corresponding author · click or hover a name for details
- Published Online:
- 09 Dec 2023
- Article type:
- Research Article
- Language:
- EN
- Article no.:
- JIM-1591
- Pages:
- 1621–1625
Abstract
Keywords
Subject Classifications
References
[1] Hilfer, R. (Ed.). Applications of fractional calculus in physics. World scientific (2000).
[2] Ali, A. H., Ahmed, A. B., & Mohamed, H., Homotopy analysis method for solving some partial time fractional differential equation. IOSR Journal of Mathematics, 16(4), 35-40 (2020).
[3] Arshad, M., Lu, D., & Wang, J., (N+ 1)-dimensional fractional reduced differential transform method for fractional order partial differential equations. Communications in Nonlinear Science and Numerical Simulation, 48, 509-519 (2017).
[4] Ateş, I., & Zegeling, P. A., A homotopy perturbation method for fractional-order advection-diffusion-reaction boundary-value problems. Applied Mathematical Modelling, 47, 425-441 (2017).
[5] Shukur, A. M., Adomian decomposition method for certain space-time fractional partial differential equations. IOSR Journal of Mathematics, 11(1), 55-65 (2015).
[6] Singh, B. K., & Kumar, P., Fractional variational iteration method for solving fractional partial differential equations with proportional delay. International Journal of Differential Equations, (2017).
[7] Omran, H. H., Solutins of Systems for the Linear Fredholm-Volterra Integral Equations of the Second Kind. Ibn AL-Haitham Journal For Pure and Applied Science, 23(2), 200-206 (2017).
[8] Mousa, M. G., & Altaie, H. O., Study on approximate analytical methods for nonlinear differential equations. Journal of Interdisciplinary Mathematics, 25(8), 2623-2629 (2022).
[9] Maad G.M and Huda Omran Altaie, Efficient Analytical Method For The Solution of Some Fractional -Order Nonlinear Differential Equations, International Journal of Nonlinear Analysis and Applications, 3, 2, 401–408 (2022).
[10] Mousa, M. G., & Altaie, H. O., A New Technique for Solving Fractional Nonlinear Equations by Sumudu Transform and Adomian Decomposition Method. Ibn Al-Haitham Journal For Pure and Applied Sciences, 35(3) (2022).
[11] Altaie, H. O., Two Efficient Methods For Solving Nonlinear Fourth-Order PDEs. International Journal of Nonlinear Analysis and Applications, 11, 543-546 (2020).
[12] Fadhel, F. S., & Altaie, H. O., Solution of Riccati matrix differential equation using new approach of variational iteration method. International Journal of Nonlinear Analysis and Applications, 12(2), 1633-1640 (2021).
[13] Altaie, H. O., Comparison the solutions for some kinds of differential equations using iterative methods. Journal of Interdisciplinary Mathematics, 24(5), 1113-1118 (2021).
[14] Qays Jasem hussein.,& Altaie, H., Analytical Solutions to Investigate Fractional Newell-Whitehead Nonlinear Equation using Sumudu Transform Decomposition Method. Ibn Al-Haitham Journal For Pure and Applied Sciences, 36(3) (2023).
[15] Altaie, H. O., Study the Stability for Ordinary Differential Equations Using New Techniques via Numerical Methods. In Proceedings of First International Conference on Mathematical Modeling and Computational Science: ICMMCS 2020, pp. 509-516 (2021). Springer Singapore.
[16] Shamkhi, M., & Kadhem, H. H., On Soft Pre-Compact Maps. Wasit Journal of Computer and Mathematics Sciences, 1(2), 78-95 (2022).
