Three Dimensional Fractional Mellin Transform, and its Applications
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.
Authors
- Arvind Kumar Sinha (ORCID: https://orcid.org/0000-0002-8684-724X)
- Adem Kılıçman (ORCID: https://orcid.org/0000-0002-1217-963X)
- Srikumar Panda (ORCID: https://orcid.org/0000-0001-7163-2150)
Institutions
- Universiti Putra Malaysia (MY)
- National Institute of Technology Raipur (IN)
- Raipur Municipal Corporation (IN)
Publication Details
- Journal
- The Nepali Mathematical Sciences Report
- Published
- 2025-06-27
- DOI
- https://doi.org/10.3126/nmsr.v42i1.80569
- Primary Topic
- Fractional Differential Equations Solutions
- Type
- article
- Field-Weighted Citation Impact
- 0.00