MMN-4099
A new generalized Laplace transform and its applications to fractional Bagley-Torvik and fractional harmonic vibration problems
Enes Ata; İ. Onur Kıymaz;Abstract
In this paper, a new generalized Laplace transform (L_n transform) is defined and its certain properties are given. Then, the solutions of fractional Bagley-Torvik and fractional Harmonic vibration problems are obtained by using the new transformas as applications. Also transforms of some functions and the relationships between the new transform with some other transforms are given in separate tables. Finally, generalized Laplace transform is applied to cos(t), sin(t) and exp(t) functions and the graphs of Sawi transform for n=-1, classical Laplace transform for n=1 and HY transform for n=2 are observed and presented.
Vol. 24 (2023), No. 2, pp. 597-610
DOI: 10.18514/MMN.2023.4099