Double a-g-Transformation and Its Properties
DOI:
https://doi.org/10.29304/jqcm.2022.14.3.993Keywords:
integral transform, double transformation, mittage-Leffler, expontial function, g-transformAbstract
In this paper, we introduce a new transformation , namely , a-g-transformation and denote it as . This transformation consider as generalized to double g-transformation. We defined it as the following form :
Downloads
Download data is not yet available.
References
1. Apelblat , "Differentiation of the Mittag-Leffler Functions with Respect to Parameters in the Laplace Transform Approach", J.Mathematics 8(657), 1-22 (2020).
2. G. Jumarie , "Laplace's transform of fractional order via the Mittag-Leffler function and modified Riemann-Liouville derivative", J.Applied Mathematics Letters 22 (2009) , 1659-1664 (2009).
3. G. D. Medina at el , "Fractional Laplace Transform and Fractional Calculus", J.International Mathematical Forum, 991-999 (2017).
4. H.Jafari , "Yang Xiao-Jun, 2021, Towards new general double integral transform and its applications to differential equations", J.Mathematical Methods in the Applied Sciences 2021(1), 1-8(2021).
5. H. J. Haubold , "Mittag-Leffler Functions and Their Applications", J.Hindawi Publishing Corporation, Journal of Applied Mathematics 1(2011), 1-51(2011).
6. J. West et al. , "Physics of Fractal Operators" ,© Springer-Verlag (New York), Inc., (2003).
7. M. A. Khan and S. Ahmed , "On some properties of the generalized Mittag-Leffler function", Springer Plus (2013).
2. G. Jumarie , "Laplace's transform of fractional order via the Mittag-Leffler function and modified Riemann-Liouville derivative", J.Applied Mathematics Letters 22 (2009) , 1659-1664 (2009).
3. G. D. Medina at el , "Fractional Laplace Transform and Fractional Calculus", J.International Mathematical Forum, 991-999 (2017).
4. H.Jafari , "Yang Xiao-Jun, 2021, Towards new general double integral transform and its applications to differential equations", J.Mathematical Methods in the Applied Sciences 2021(1), 1-8(2021).
5. H. J. Haubold , "Mittag-Leffler Functions and Their Applications", J.Hindawi Publishing Corporation, Journal of Applied Mathematics 1(2011), 1-51(2011).
6. J. West et al. , "Physics of Fractal Operators" ,© Springer-Verlag (New York), Inc., (2003).
7. M. A. Khan and S. Ahmed , "On some properties of the generalized Mittag-Leffler function", Springer Plus (2013).
Downloads
Published
2022-08-12
How to Cite
Abbood, A. M., & Geem, M. H. (2022). Double a-g-Transformation and Its Properties. Journal of Al-Qadisiyah for Computer Science and Mathematics, 14(3), Math Page 33–41. https://doi.org/10.29304/jqcm.2022.14.3.993
Issue
Section
Math Articles
