Laplace-Carson transform of fractional order

T. G. Thange; A. R. Gade

doi:10.26637/MJM0804/0158

Abstract

In this paper, we proposed new generalized Laplace-Carson transform of fractional order called Fractional Laplace-Carson transform of order \(0<\alpha<1\). This transform is applying for functions which are differentiable but by fractional order. By using the definition of fractional order Laplace-Carson transform we prove fundamental properties of this integral transform. Finally, we have obtained convolution and inversion.

Keywords:

Laplace-Carson transform, Laplace transform, Mittag-Leffler function, Generalization function, Fractional Derivative and Fractional Integration

Mathematics Subject Classification:

Mathematics

Authors Imprint References Funding Related Articles Downloads

T. G. Thange Department of Mathematics, Yogeshwari Mahavidyalaya Ambajogai, Beed, MH, India.
A. R. Gade Department of Mathematics, Arts Commerce and Science College Kille-Dharur, Beed, MH, India.

Pages: 2253-2258
Date Published: 01-10-2020
Vol. 8 No. 04 (2020): Malaya Journal of Matematik (MJM)

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