Mahgoub Transform on Boehmians
DOI:
https://doi.org/10.23755/rm.v37i0.468Keywords:
Mahgoub Transform, the SpaceB(X), the SpaceB(X^M), Boehmian Spaces.Abstract
Boehmian’s space is established utilizing an algebraic way that approximate identities or delta sequences and appropriate convolution. The space of distributions can be related to the proper subspace. In this paper, firstly we establish the appropriate Boehmian space, on which the Mahgoub Transformation can be described& function space K can be embedded. We add to more in this, our definitions enhance Mahgoub transform to progressively wide spaces. We additionally explain the functional axioms of Mahgoub transform on Boehmians. Lastly toward the finishing of topic, we analyze with specify axioms and properties for continuity and the enlarged Mahgoub transform, also its inverse regards to∆- convergence and δ.References
Al-Omari, S., Kılıçman, A. An estimate of Sumudu transforms for Boehmians. Advances in Difference Equations , 77(1),1-10.2013.
Boehme, T.K: The support of Mikusinski operators. Trans. Am. Math. Soc., 1973.
Zemanian, A.H. Generalized Integral Transformation. Dover, New York, 1987.
Mikusinski, P. Fourier transform for integrable Boehmians. Rocky Mt. J. Math.,17(3),1987.
Mikusinski, P. Tempered Boehmians and ultra distributions. Proc. Am. Math. Soc.,123(3),813-817.1995.
Roopkumar, R. Mellin transform for Boehmians. Bull. Inst. Math. Acad. Sin., 4(1),75-96.2009.
Eltayeb, H., Kılıçman, A.Fisher, B. A new integral transform and associated distributions. Integral Transforms and Special Functions .,21(5),367-379.2009.
Mahgoub , A,M. The new Integral transform Mahgoub transform. Adva. in Theoretical and Applied Math., 11(4),391-398.2016.
Khandelwal,Y., Umar, B,A., Kumawat ,P . Solution of the Blasius Equation by using Adomain Mahgoub transform. International Journal of Mathematics Trends and Technology., 56(5),303-306.2018
Khandelwal, R.,Khandelwal,Y., Chanchal,P. Mahgoub deterioration method and its application in solving duo-combination of nonlinear PDE’s.Math. J. Inter discip. Sci., 7(1), 37–44.2018.
Khandelwal, Y.,Singh,S., Khandelwal,R. Solution of fractional ordinary differential equation by Mahgoub transform. Inte. Jour. of Crea. Rese. Thou., 6(1),1494-1499.2018.
Chaudhary,P.,Chanchal,P.,Khandelwal,Y. Duality of Some Famous Integral Transforms from the polynomial Integral Transform. International Journal of Mathematics Trends and Technology., 55(5), 345-349.2018
Downloads
Published
Issue
Section
License
This journal provides immediate open access to its content on the principle that making research freely available to the public supports a greater global exchange of knowledge. The journal is committed to real and immediate open access for academic work. All of the journal articles are free to access immediately from the date of publication. There are no charge for readers to download articles and reviews for their own scholarly use. Benefits of open access for authors, include:
- Free access for all users worldwide
- Increased visibility and readership
- Rapid publication
- No spatial constraints
- Authors can share their research papers on their personal web-pages (i.e. ResearchGate, etc.)
Ratio Mathematica publishes open access articles under the terms of the Creative Commons Attribution (CC BY) License. The Creative Commons Attribution License (CC-BY) allows users to copy, distribute and transmit an article, adapt the article and make commercial use of the article. The CC BY license permits commercial and non-commercial re-use of an open access article, as long as the author is properly attributed. Copyright on any research article published by Ratio Mathematica is retained by the author(s). Authors grant Ratio Mathematica a license to publish the article and identify itself as the original publisher. Authors also grant any third party the right to use the article freely as long as its original authors, citation details and publisher are identified.
For further information visit: https://creativecommons.org/licenses/by/3.0/. The following logo will appear in any paper that will be published from the volume number 31/2016 onwards.