Ezgi ERDOĞAN, Selcan KOCABAŞ, Nese DERNEK

Some Results on the Generalized Mellin Transforms and Applications

This paper discusses the generalized Mellin transforms and their properties with examples and applications to integral and partial differential equations. Several simple lemmas and theorems dealing with general properties of the generalized Mellin transform are proved. The main focus of this paper is to develop the method of the generalized Mellin transform to solve partial differential equations and integral equations in applied mathematics.

Keywords:

Fourier transforms, Mellin transforms generalized Mellin transforms, integral, partial differential equations,

PDF

___

[1] D. Brown, N. Dernek and O. Yürekli, Identities for the L2;1 Transform and Their Applications, Appl. Math. Comput., 187, (2007), 1557-1566.
[2] L. Debnath, D. Bhatta, Integral Transforms and Their Applications Second Edition, Chapman&Hall, 2006.
[3] L. Debnath, The Double Laplace Transforms and Their Properties with Applications to Functional, Integral and Partial Differential Equations, Int. J. Appl. Comput. Math., 2 (2016), 223-241.
[4] N. Dernek, F. Aylıkçıand O. Yürekli, New Identities on the Generalized Exponential and Mellin Integral transformatons and Their Applications(to appear)
[5] N. Dernek, F. Aylıkçı and S. Kıvrak, An Alternative Technique for Solving Ordinary Differential Equations, Konuralp J. Math., Vol 4:1 (2016), 68-79.
[6] A. Erdelyi, W. Magnus, F. Oberhettinger, and G. Tricomi, Tables of Integral Transforms, Vol. I, Vol. II, New York: McGraw Hill, 1954.
[7] N. Lebedev, Special Functions and Their Applications, Prentice Hall, 1965.

Yayın Aralığı: Yılda 2 Sayı
Başlangıç: 2013
Yayıncı: Mehmet Zeki SARIKAYA

Arşiv