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

Oğuz Yağcı; Recep Şahin; Kottakkaran Sooppy Nisar

doi:10.2478/ijmce-2024-0017

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

International Journal of Mathematics and Computer in Engineering

Volume 2 (2024): Issue 2 (December 2024)

By: Oğuz Yağcı, Recep Şahin and Kottakkaran Sooppy Nisar

Open Access

|Jan 2024

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.

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Articles in this issue

DOI: https://doi.org/10.2478/ijmce-2024-0017 | Journal eISSN: 2956-7068

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Language: English

Page range: 223 - 232

Submitted on: Jun 26, 2023

Accepted on: Oct 6, 2023

Published on: Jan 10, 2024

Published by: Harran University

In partnership with: Paradigm Publishing Services

Publication frequency: 2 issues per year

Keywords:

Hurwitz-Lerch Zeta function,

generalized Hurwitz-Lerch Zeta function,

fractional Kinetic equation,

Mittag-Leffler function,

Laplace transform

Related subjects:

Computer sciences,

Computer sciences, other,

Engineering,

Introductions and overviews,

Physics,

© 2024 Oğuz Yağcı, Recep Şahin, Kottakkaran Sooppy Nisar, published by Harran University
This work is licensed under the Creative Commons Attribution 4.0 License.

Volume 2 (2024): Issue 2 (December 2024)