Far East Journal of Mathematical Sciences (FJMS)

The Far East Journal of Mathematical Sciences (FJMS) publishes original research papers and survey articles in pure and applied mathematics, statistics, mathematical physics, and other related fields. It welcomes application-oriented work as well.

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ON THE INTEGRAL TRANSFORM WITH ARBITRARY EXPONENTIAL KERNEL

Authors

  • Hwajoon Kim
  • Eunyoung Lim
  • Sunyoung Yeun

Keywords:

Laplace-type transform, impulse function, arbitrary exponential kernel

DOI:

https://doi.org/10.17654/0972087126012

Abstract

This study examines how the Laplace transform changes when its kernel base is expressed as an arbitrary exponential function. The results show its effectiveness in processing the Dirac-delta function.

Received: August 10, 2025
Accepted: September 25, 2025

References

[1] S. K. Al-Omari, q-analogues and properties of the Laplace-type integral operator in the quantum calculus theory, J. Inequal. Appl. 2020(1) (2020), 203.

[2] W. Albalawi, R. Shah, K. Nonlaopon, L. S. El-Sherif and S. A. El-Tantawy, Laplace residual power series method for solving three-dimensional fractional Helmholtz equations, Symmetry 15 (2023), 194.

https://doi.org/10.3390/sym15010194.

[3] M. J. Atia and A. K. Rathie, On a generalization of the Kummer’s quadratic transformation and a resolution of an isolated Case, Axioms 12(9) (2023), 821.

[4] D. L. Cohn, Measure Theory, Birkhäuser, Boston, 1980.

[5] Hj. Kim, Editorial for special issue “various approaches for generalized integral transforms”, Symmetry 16 (2024), 576.

[6] Jy. Jang and Hj. Kim, An application of monotone convergence theorem in PDEs and Fourier analysis, Far East J. Math. Sci. (FJMS) 98(5) (2015), 665-669.

[7] Hj. Kim, The intrinsic structure and properties of Laplace-typed integral transforms, Math. Probl. Eng. 2017 (2017), 1-8.

[8] E. Kreyszig, Advanced Engineering Mathematics, Wiley, Singapore, 2013.

Published

2025-10-18

Issue

Section

Articles

How to Cite

ON THE INTEGRAL TRANSFORM WITH ARBITRARY EXPONENTIAL KERNEL. (2025). Far East Journal of Mathematical Sciences (FJMS), 143(1), 177-190. https://doi.org/10.17654/0972087126012

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