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Year 2021, Volume: 25 Issue: 2, 389 - 396, 15.04.2021
https://doi.org/10.16984/saufenbilder.825180

Abstract

References

  • [1] M. U. Asiru, "Further properties of the Sumudu transform and its applications," International Journal of Mathematical Education in Science and Technology, vol. 33, no.3, pp. 441-449, 2002.
  • [2] F. B. M. Belgacem, A. A. Karaballi, and S. L. Kalla, "Analytical investigations of the Sumudu transform and applications to integral production equations," Mathematical Problems in Engineering, vol. 2003, no.3, pp. 103-118, 2003.
  • [3] F. B. M. Belgacem, "Introducing and analysing deeper Sumudu properties," Nonlinear Studies, vol. 13, no.1, pp. 23-41, 2006.
  • [4] F. B. M. Belgacem, Karaballi, A. A. "Sumudu transform fundamental properties investigations and applications," International Journal of Stochastic Analysis, article id 91083, pp. 1-23, 2016.
  • [5] L. Debnath, "Integral Transforms and Their Applications," CRC Press, Florida, 1995.
  • [6] A. Kilicman, H. E. Gadian, "On the application of Laplace and Sumudu transforms," Journal of The Franklin Institute, vol. 347, pp. 848-862, 2010.
  • [7] A. D. Poularikas, "The Transforms and Applications Handbook, The Electrical Engineering Handbook Series" CRC Press, Florida, 1996.
  • [8] R. Saadeh, A. Qazza, A. Burqan, "A New Integral Transform: ARA Transform and Its Properties and Applications," Symmetry, vol. 12, article no.925, 2020.
  • [9] M. Saif, F. Khan, K. S. Nisar, S. Araci, "Modified Laplace transform and its properties," Journal of Mathematics and Computer Science, vol. 21, no.2, pp. 127-135, 2020.
  • [10] G. K. Watugula, "Sumudu transform: A new integral transform to solve differential equations and control engineering problems," International Journal of Mathematical Education in Science and Technology, vol. 24, pp. 35-43, 1993.
  • [11] G. K. Watagula, "The Sumudu transform for functions of two variables," Mathematical Engineering in Industry, vol. 8, no.4, pp. 293-302, 2002.
  • [12] S. Weerakoon, "Application of Sumudu transform to partial differential equations," International Journal of Mathematical Education in Science and Technology, vol. 25, no.2, pp. 277-283, 1994.

Modified Sumudu Transform and Its Properties

Year 2021, Volume: 25 Issue: 2, 389 - 396, 15.04.2021
https://doi.org/10.16984/saufenbilder.825180

Abstract

Saif et al. (J. Math. Comput. Sci. 21 (2020) 127-135) considered modified Laplace transform and developed some of their certain properties and relations. Motivated by this work, in this paper, we define modified Sumudu transform and investigate many properties and relations including modified Sumudu transforms of the power function, sine, cosine, hyperbolic sine, hyperbolic cosine, exponential function, and function derivatives. Moreover, we attain two shifting properties and a scale preserving theorem for the modified Sumudu transform. We give modified inverse Sumudu transform and investigate some relations and examples. Furthermore, we show that the modified Sumudu transform is the theoretical dual transform to the modified Laplace transform.

References

  • [1] M. U. Asiru, "Further properties of the Sumudu transform and its applications," International Journal of Mathematical Education in Science and Technology, vol. 33, no.3, pp. 441-449, 2002.
  • [2] F. B. M. Belgacem, A. A. Karaballi, and S. L. Kalla, "Analytical investigations of the Sumudu transform and applications to integral production equations," Mathematical Problems in Engineering, vol. 2003, no.3, pp. 103-118, 2003.
  • [3] F. B. M. Belgacem, "Introducing and analysing deeper Sumudu properties," Nonlinear Studies, vol. 13, no.1, pp. 23-41, 2006.
  • [4] F. B. M. Belgacem, Karaballi, A. A. "Sumudu transform fundamental properties investigations and applications," International Journal of Stochastic Analysis, article id 91083, pp. 1-23, 2016.
  • [5] L. Debnath, "Integral Transforms and Their Applications," CRC Press, Florida, 1995.
  • [6] A. Kilicman, H. E. Gadian, "On the application of Laplace and Sumudu transforms," Journal of The Franklin Institute, vol. 347, pp. 848-862, 2010.
  • [7] A. D. Poularikas, "The Transforms and Applications Handbook, The Electrical Engineering Handbook Series" CRC Press, Florida, 1996.
  • [8] R. Saadeh, A. Qazza, A. Burqan, "A New Integral Transform: ARA Transform and Its Properties and Applications," Symmetry, vol. 12, article no.925, 2020.
  • [9] M. Saif, F. Khan, K. S. Nisar, S. Araci, "Modified Laplace transform and its properties," Journal of Mathematics and Computer Science, vol. 21, no.2, pp. 127-135, 2020.
  • [10] G. K. Watugula, "Sumudu transform: A new integral transform to solve differential equations and control engineering problems," International Journal of Mathematical Education in Science and Technology, vol. 24, pp. 35-43, 1993.
  • [11] G. K. Watagula, "The Sumudu transform for functions of two variables," Mathematical Engineering in Industry, vol. 8, no.4, pp. 293-302, 2002.
  • [12] S. Weerakoon, "Application of Sumudu transform to partial differential equations," International Journal of Mathematical Education in Science and Technology, vol. 25, no.2, pp. 277-283, 1994.
There are 12 citations in total.

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Research Articles
Authors

Uğur Duran 0000-0002-5717-1199

Publication Date April 15, 2021
Submission Date November 12, 2020
Acceptance Date February 8, 2021
Published in Issue Year 2021 Volume: 25 Issue: 2

Cite

APA Duran, U. (2021). Modified Sumudu Transform and Its Properties. Sakarya University Journal of Science, 25(2), 389-396. https://doi.org/10.16984/saufenbilder.825180
AMA Duran U. Modified Sumudu Transform and Its Properties. SAUJS. April 2021;25(2):389-396. doi:10.16984/saufenbilder.825180
Chicago Duran, Uğur. “Modified Sumudu Transform and Its Properties”. Sakarya University Journal of Science 25, no. 2 (April 2021): 389-96. https://doi.org/10.16984/saufenbilder.825180.
EndNote Duran U (April 1, 2021) Modified Sumudu Transform and Its Properties. Sakarya University Journal of Science 25 2 389–396.
IEEE U. Duran, “Modified Sumudu Transform and Its Properties”, SAUJS, vol. 25, no. 2, pp. 389–396, 2021, doi: 10.16984/saufenbilder.825180.
ISNAD Duran, Uğur. “Modified Sumudu Transform and Its Properties”. Sakarya University Journal of Science 25/2 (April 2021), 389-396. https://doi.org/10.16984/saufenbilder.825180.
JAMA Duran U. Modified Sumudu Transform and Its Properties. SAUJS. 2021;25:389–396.
MLA Duran, Uğur. “Modified Sumudu Transform and Its Properties”. Sakarya University Journal of Science, vol. 25, no. 2, 2021, pp. 389-96, doi:10.16984/saufenbilder.825180.
Vancouver Duran U. Modified Sumudu Transform and Its Properties. SAUJS. 2021;25(2):389-96.