<abstract xmlns="http://www.w3.org/1999/xhtml">
<p>Fractional Kinetic equations (FKEs) including a wide variety of special functions are widely and successfully applied in describing and solving many important problems of physics and astrophysics. In this work, the solutions of the FKEs of the generalized Hurwitz-Lerch Zeta function using the Laplace transform are derived and examined.</p>
</abstract>

Fractional Kinetic equations (FKEs) including a wide variety of special functions are widely and successfully applied in describing and solving many important problems of physics and astrophysics. In this work, the solutions of the FKEs of the generalized Hurwitz-Lerch Zeta function using the Laplace transform are derived and examined.

New results for generalized Hurwitz-Lerch Zeta functions using Laplace transform

Department of Mathematics, Faculty of Art and Sciences

Department of Mathematics, College of Science and Humanities in Alkharj

International Journal of Mathematics and Computer in Engineering

This work is licensed under the Creative Commons Attribution 4.0 International License.

{"article-title":"New results for generalized Hurwitz-Lerch Zeta functions using Laplace transform"}

Fractional Kinetic equations (FKEs) including a wide variety of special functions are widely and successfully applied in describing and solving many important...

New results for generalized Hurwitz-Lerch Zeta functions using Laplace transform

Article Category: Original Study

Published Online: Jan 10, 2024

Page range: 223 - 232

Received: Jun 26, 2023

Accepted: Oct 06, 2023

DOI: https://doi.org/10.2478/ijmce-2024-0017

Keywords
Hurwitz-Lerch Zeta function, generalized Hurwitz-Lerch Zeta function, fractional Kinetic equation, Mittag-Leffler function, Laplace transform

© 2024 Oğuz Yağcı et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

New results for generalized Hurwitz-Lerch Zeta functions using Laplace transform

Article Category: Original Study

Published Online: Jan 10, 2024

Page range: 223 - 232

Received: Jun 26, 2023

Accepted: Oct 06, 2023

DOI: https://doi.org/10.2478/ijmce-2024-0017

KeywordsHurwitz-Lerch Zeta function, generalized Hurwitz-Lerch Zeta function, fractional Kinetic equation, Mittag-Leffler function, Laplace transform

© 2024 Oğuz Yağcı et al., published by Sciendo

This work is licensed under the Creative Commons Attribution 4.0 International License.

Fig. 1

Keywords
Hurwitz-Lerch Zeta function, generalized Hurwitz-Lerch Zeta function, fractional Kinetic equation, Mittag-Leffler function, Laplace transform