Volume 22 , Issue 4 , PP: 36-43, 2023 | Cite this article as | XML | Html | PDF | Full Length Article
Eman A. Mansour 1 * , Emad A. Kuffi 2
Doi: https://doi.org/10.54216/IJNS.220403
The Sadiq-Emad-Emann (SEE) transform, also known as operational calculus, has gained significant importance as a fundamental component of the mathematical knowledge necessary for physicists, engineers, mathematicians, and other scientific professionals. This is because the SEE transform offers accessible and efficient resources for resolving several applications and challenges encountered in diverse engineering and science domains. This study aims to introduce the fundamental principles of SEE transformation and establish the validity of two statements and associated attributes. The objective of this study is to use the aforementioned qualities in order to determine the solution of difference and differential-difference equations, with neutrosophic versions of difference and differential difference equations. In addition, we are able to get very effective and expeditious precise answers.
SEE transform , Derivation of originals , Delay property , Differential equations , Difference equations , neutrosophic difference equation , neutrosophic differential difference equation.
[1] Prudnikov, A. P., & Skòrnik, K. A. (2006). Operational calculus and related topics. CRC Press.
[2] Johnson, G. W., Lapidus, M. L., & Nielsen, L. (2015). Feynman's operational calculus and beyond: noncommutativity and time-ordering. Oxford Mathematical Monographs.
[3] Debnath, L., & Bhatta, D. (2014). Integral transforms and their applications. CRC press.
[4] Kuffi, E. A., Meftin, N. K., Abbas, E. S., & Mansour, E. A. (2021). A Review on the Integral Transforms. Eurasian Journal of Physics, Chemistry and Mathematics, 1, 20-28.
[5] Mansour, E. A., Kuffi, E. A., & Mehdi, S. A. (2021). The new integral transform “SEE transform” and its applications. Periodicals of engineering and natural sciences, 9(2), 1016-1029.
[6] Mansour, E. A., Kuffi, E. A., & Mehdi, S. A. (2021). The new integral transform “SEE Transform” of Bessel’s functions. Turkish Journal of Computer and Mathematics Education (TURCOMAT), 12(13), 3898-3905.
[7] Mansour, E. A., Kuffi, E. A., & Mehdi, S. A. (2021, August). Solving Abel's Integral Equation Using (Sadiq-Emad-Eman) Transform. In 2021 7th International Conference on Contemporary Information Technology and Mathematics (ICCITM) (pp. 251-254). IEEE.
[8] Mansour, E. A., Kuffi, E. A., & Mehdi, S. A. (2022). Applying SEE transform in solving Faltung type Volterra integro-differential equation of first kind. Journal of Interdisciplinary Mathematics, 25(5), 1315-1322.
[9] Mansour, E. A., Kuffi, E. A., & Mehdi, S. A. (2023, March). Applying SEE transform to solve linear Volterra integrodifferential equation of the second kind. In AIP Conference Proceedings (Vol. 2591, No. 1, p. 050008). AIP Publishing LLC.
[10] Mansour, E. A., Kuffi, E. A., & Mehdi, S. A. (2021). On the SEE transform and systems of ordinary differential equations. Periodicals of Engineering and Natural Sciences, 9(3), 277-281.
[11] Mansour, E. A., Kuffi, E. A., & Mehdi, S. A. (2021, August). Solving Population Growth and Decay Problems Using Complex SEE Transform. In 2021 7th International Conference on Contemporary Information Technology and Mathematics (ICCITM) (pp. 243-246). IEEE.
[12] Kuffi, E. A., Buti, R. H., & AL-Aali, Z. H. A. (2022). Solution of first order constant coefficients complex differential equations by SEE transform method. Journal of Interdisciplinary Mathematics, 25(6), 1835-1843.
[13] Sharkovsky, A. N., Maistrenko, Y. L. T., & Romanenko, E. Y. (2012). Difference equations and their applications (Vol. 250). Springer Science & Business Media.
[14] Yazlik, Y., Elsayed, E. M., & Taskara, N. (2014). On the Behaviour of the Solutions of Difference Equation Systems. Journal of Computational Analysis & Applications, 16(1).
[15] Temple, G. (1967). Differential-Difference Equations. By Richard Bellman and Kenneth L. Cooke. Pp. xvi, 465. 1963.(Academic Press). The Mathematical Gazette, 51(377), 276-276.
[16] Abobala, M., and Zeina, M.B., " A Study Of Neutrosophic Real Analysis By Using One Dimensional Geometric AH-Isometry", Galoitica Journal Of Mathematical Structures And Applications, Vol.3, 2023.
[17] Aswad, M., Dalla, R., " Neutrosophic Divisor Point of A Straight Line Segment With A Given Ratio", Pure Mathematics For Computer Science, Vol. 2, 2023.
