Three Dimensional Fractional Mellin Transform, and its Applications

Authors

  • Srikumar Panda Department of Mathematics, Amity University Raipur, Raipur (C.G.) - 493225, India
  • Arvind Kumar Sinha Department of Mathematics, National Institute of Technology Raipur, Raipur(C.G.)- 492010, India
  • Adem Kilicman Department of Mathematics and Institute for Mathematical Research, University Putra Malaysia, 43400 Serdang, Selangor, Malaysia

DOI:

https://doi.org/10.3126/nmsr.v42i1.80569

Keywords:

Three dimensional fractional Mellin transform, analytic theorem, boundedness theorem, uniqueness theorem, inversion theorem, Mboctara equation

Abstract

We introduce three dimensional fractional Mellin transform and establish analytic theorem, boundedness theorem, inversion theorem and uniqueness theorem for three dimensional fractional Mellin transform. We present propositions of 3-dimensional fractional Mellin transform. We give some applications of 3-dimensional fractional Mellin transform for solving PDE’s.

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Published

2025-06-27

How to Cite

Panda, S., Sinha, A. K., & Kilicman , A. (2025). Three Dimensional Fractional Mellin Transform, and its Applications. The Nepali Mathematical Sciences Report, 42(1), 30–44. https://doi.org/10.3126/nmsr.v42i1.80569

Issue

Vol. 42 No. 1 (2025)

Section

Articles

License

Copyright © The Nepali Mathematical Sciences Report