Application of New Integral Transform for Ordinary Differential Equation with Unknown Initial Conditions

Authors

  • Athraa Neamah ALbukhttar Department of Mathematics, Faculty of Education for Girls, University of Kufa Najaf. Iraq Author
  • Fatimah Abdulmohdi Department of Mathematics, Faculty of Education for Girls, University of Kufa Najaf. Iraq Author
  • Hayder Neamah Kadhim Department of Mathematics, Faculty of Education for Girls, University of Kufa Najaf. Iraq Author

DOI:

https://doi.org/10.61841/pm85n289

Keywords:

solve ordinary, Shehu transform, equations

Abstract

The Shehu transform fundamental properties were shown by Shehu. In this paper, we extended application of Shehu transform to solve ordinary differential where initial conditions known or unknown and formulas of general solutions of some ordinary differential equations are achieved 

Downloads

Download data is not yet available.

References

[1] A. Atangana and A. Kilicman, A novel integral operator transform and its application to some FODE and FPDE with some kind of singularities, Mathematical Problems in Engineering, Special Issue, 2013.

[2] A. H. Mohammed and A. N. Kathem, Solving Euler’s Equation by Using New Transformation, Journal of Kerbala University, Vol. 6(4), 2008.

[3] A N Albukhuttar and I H Jaber, Elzaki transformation of Linear Equation without Subject to any initial conditions Journal of Advanced Research in Dynamical and Control Systems, Vol. 11(2), 2019.

[4] A. N. Kathem and Z. D. Ridha, Application of a Shehu transform to the heat and transport equations, preprint.

[5] A N Kathem, On Solutions of Differential Equations by using Laplace Transformation, The Islamic College University Journal, Vol. Vol.7(1), 2008.5

[6] B. Goodwine, Engineering Differential Equations: Theory and Applications, Springer Science & Business Media, 2010.

[7] S Aggarwal, A Gupta and S Sharma, A New Application of Shehu Transformation for Handling Volterra

Integral Equations of the First Kind, International Journal of Research in Advent Technology, Vol. 7(4), 2019.

[8] S Aggarwal, S D Sharma and A R Gupta, Application of Shehu Transformation Handling growth and decay

problems, Global Journal of Engineering Science and Researches, Vol. Vol.6(4), 2019.

[9] S. Maitama and W. Zhao, New integral transform: Shehu transform, a generalization of Sumudu and Laplace transform for solving differential equations, International Journal of Analysis and Applications, Vol. 17(2), 2019.

[10] S. Maitama and W. Zhao, New Laplace-type integral transform for solving steady heat transfer problems, Thermal Science, Vol. 2(4), 2019.

[11] Sania Qureshi and Prem Kumar: using shehu integral transform to solve fractional order caputo type initial value problems, Vol. 18(2), Vol.18(2),2019

[12] W. H. Alshemary and A. N. Kathem, Application of Novel Transformations for Solving Ordinary Differential Equations, preprint.

[13] X. J. Yang. A new integral transform method for solving steady heat-transfer problems. Thermal Science, Vol. 20 (2), 2016.

Downloads

Published

31.07.2020

How to Cite

Neamah ALbukhttar, A., Abdulmohdi, F., & Neamah Kadhim, H. (2020). Application of New Integral Transform for Ordinary Differential Equation with Unknown Initial Conditions. International Journal of Psychosocial Rehabilitation, 24(5), 4273-4281. https://doi.org/10.61841/pm85n289