Certain results of Aleph-Function based on natural transform of fractional order

Article Sidebar

Annals of Mathematics and Physics volume6-issue1 articles
PDF HTML
Submitted: April 13, 2023
Published: Apr 25, 2023
DOI: 10.17352/amp.000078
Keywords:
N-transform of fractional order, L-transform of fractional order, S-transform of fractional order, Aleph-function

Main Article Content

Aarti Pathak
School of Mathematics and Allied Sciences, Jiwaji University, Gwalior, MP, India
Rajshree Mishra
Department of Mathematics, Government Model Science College, Gwalior, MP India
DK Jain
Department of Engineering Mathematics Computing, MITS, Gwalior, MP India
Farooq Ahmad
Department of Mathematics, Govt. College for Women Nawakadal, J&K, India
Altaf Ahmad Bhat*
Department of General Requirements, University of Technology and Applied Sciences, Salalah, Oman

Abstract

In this research article, a new type of fractional integral transform namely the N-transform of fractional order is proposed, and derived a number of useful results of a more generalized function (Aleph-function) of fractional calculus by making use of the N-transform of fractional order. Further, the relation between it and other fractional transforms is given and some special cases have also been discussed.

Downloads

Download data is not yet available.

Article Details

Pathak, A., Mishra, R., Jain, D., Ahmad, F., & Bhat, A. A. (2023). Certain results of Aleph-Function based on natural transform of fractional order. Annals of Mathematics and Physics, 6(1), 052–057. https://doi.org/10.17352/amp.000078
Research Articles

Copyright (c) 2023 Pathak A, et al.

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Khan ZH, Khan WA. N-transform-properties and applications. NUST Journal of Engineering Sciences. 2008; 1:127-133.

Al-Omari SKQ. On the application of natural transforms. International Journal of Pure and Applied Mathematics. 2013; 84: 729–744.

Belgacem FBM, Silambarasan R. Theoretical investigations of the natural transform. Progress In Electromagnetics Research Symposium Proceedings. Suzhou. 2011.

Belgacem FBM, Silambarasan R. Advances in the natural transform. AIP Conference Proceedings. 2012; 1493: 106.

Belgacem FBM, Silambarasan R. Theory of natural transform. Mathematics In Engineering Science and Aerospace. 2012; 3: 105–135.

Belgacem FBM, Silambarasan R. Maxwell’s equations solutions through the natural transform. Mathematics in Engineering, Science and Aerospace. 2012; 3: 313–323.

Duffy DG. Transform methods for solving partial differential equations, Second edition, Chapman & Hall/CRC, BocaRaton, FL, 2004.

Estrin TA, Higgins TJ. The solution of boundary value problems by multiple Laplace transformations. J Franklin Inst 1951; 252: 153–167

Spiegel MR. Schaum’s outline of theory and problems of Laplace transforms, McGraw-Hill, New York. 1965.

Saxena RK, Ram J, Kumar D. Generalized fractional differentiation for Saigo operators involving Aleph-Function. J Indian Acad Math. 2012; 34(1): 109-115.

Sharma SK, Shekhawat AS, Integral Transform and the Solution of Fractional Kinetic Equation Involving Some Special Functions. IJMTT Journal. 55(2).