ScholarLens Back to search
2013•Unpublished venueRequires access

Generalized Laplace-Fractional Mellin Transform and Operators

Vidya Dev Sharma, M. M. Thakare

Open publisher page 3 citations

Abstract

Abstract: The theory of integral transforms is presented a direct and systematic technique for the presentation of classical and distribution theory. The main view of our work is the generalization of Laplace-Fractional Mellin transform to distribution of compact support using kernel method. Definition of Distributional Generalized Laplace fractional Mellin Transform (LMrT) is given. Some operators and properties for the Generalized Laplace fractional Mellin transform are proved.

About this research paper

What this paper is about

Abstract: The theory of integral transforms is presented a direct and systematic technique for the presentation of classical and distribution theory. The main view of our work is the generalization of Laplace-Fractional Mellin transform to distribution of compact support using kernel method. Definition of Distributional Generalized Laplace fractional Mellin Transform (LMrT) is given. Some operators and properties for the Generalized Laplace fractional Mellin transform are proved.

Why it matters

OpenAlex reports 3 citations for this work. Citation counts describe recorded attention and do not establish research quality.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

Abstract: The theory of integral transforms is presented a direct and systematic technique for the presentation of classical and distribution theory. The main view of our work is the generalization of Laplace-Fractional Mellin transform to distribution of compact support using kernel method. Definition of Distributional Generalized Laplace fractional Mellin Transform (LMrT) is given. Some operators and properties for the Generalized Laplace fractional Mellin transform are proved.

Key concepts: Mellin transform, Two-sided Laplace transform, Laplace transform, Mellin inversion theorem, Laplace transform applied to differential equations, Laplace–Stieltjes transform, Mathematics, Generalization

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
Generalized Laplace-Fractional Mellin Transform and Operators — Research Paper | ScholarLens