Using a New General Complex Integral Transform for Solving Population Growth and Decay Problems

Authors

Sadiq A. Mehdi
Emad A. Kuffi
Jinan A. Jasim

DOI:

https://doi.org/10.30526/36.1.2882

Keywords:

decay problems, inverse of SEJI transform, population growth, SEJI transform

Abstract

The Population growth and decay issues are one of the most pressing issues in many sectors of study. These issues can be found in physics, chemistry, social science, biology, and zoology, among other subjects.

We introduced the solution for these problems in this paper by using the SEJI (Sadiq- Emad- Jinan) integral transform, which has some mathematical properties that we use in our solutions. We also presented the SEJI transform for some functions, followed by the inverse of the SEJI integral transform for these functions. After that, we demonstrate how to use the SEJI transform to tackle population growth and decay problems by presenting two applications that demonstrate how to use this transform to obtain solutions.

Finally, we conclude that the SEJI transform can readily solve the problems of population increase and decay, and that the action of this integral transform in overcoming these challenges can be explained through applications.

References

Singh, G.P. ; Aggarwal, S. Sawi Transform for Population Growth and Decay Problems. International Journal of Latest Technology in Engineering, Management & Applied Science, 2019, 8(8).

Aggarwal, S.; Sharma, S. D. Solution of Population Growth and Decay Problems Using Smudu Transform, International Journal of Research and Innovation Applied Scence (IJRIAS) (2020), Vol.V, Issue VII, July

Aggarwal, S. ; Sharma, N. ; Chauhan, R. Solution of Population Growth and Decay Problems by Using Mohand Transform. International Journal of Research in Advent Technology, 2018, 6(11), 3277-3282.

Aggarwal , S. ; Gupta, A.R.; Asthana, N. ; Singh, D.P. Application of Kamal Transform for Solving Population Growth and Decay Problems. Global Journal of Engineering Science and Researches, 2018 ,5(9), 254-260.

Aggarwal, S. ; Sharma, S.D. ; Gupta, A.R. Application of Shehu Transform for Handling Growth and Decay Problems. Global Journal of Engineering Science and Researches, 2019,6(4), 190-198.

Aggarwal, S.; Singh, D. P. ; Asthana, N. ; Gupta, A.R. Application of Elzaki Transform for Solving Population Growth and Decay Problems. Journal of Emerging Technologies and Innovative Research, 2018,5(9), 281-284,

Eman A. Mansour, Emad A. Kuffi ; Sadiq A. Mehdi, Solving Population Growth and Decay Problems Using Complex SEE Transform, 7th International Conference on Contemporary Information Technology and Mathematics (ICCITM-2021), Mosul, Iraq.

Ahsan, Z., Differential Equations and Their Applications, PHI, 2006.

Ang, W.T. ; Park, Y.S.: Ordinary Differential Equations: Methods and Applications, Universal Publishers, 2008 .

Bronson, R. ; Costa, G.B.: Schaum’s Outline of Differential Equations, McGraw-Hill, 2021.

Weigelhofer, W.S. ; Lindsay, K.A.: Ordinary Differential Equations & Applications: Mathematical Methods for Applied Mathematicians, Physicists, Engineers and Bioscientists, Woodhead, 1999.

Zill, D.G. ; Cullen, M.R., Differential Equations with Boundary Value Problems, Thomson Brooks/ Cole, 1996.

Gorain, G.C., Introductory Course on Differential Equations, Narosa, 2014.

Kapur, J.N., Mathematical Modelling, New-Age, 2005.

Roberts, C., Ordinary Differential Equations: Applications, Models and Computing, Chapman and Hall/ CRC, 2010.

Sadiq A. Mehdi, Emad A. Kuffi ; Jinan A. Jasim, Solving Ordinary Differential Equations Using a New General Complex Integral Transform, Journal of interdisciplinary mathematics, DOI:10.1080/09720502.2022.2089381, 2022.