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

Oguz Yagcı; Recep Şahin; Kottakkaran Sooppy Nisar

doi:10.2478/ijmce-2024-0017

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

Oguz Yagcı
, Recep Şahin
, Kottakkaran Sooppy Nisar

Mathematics

Kirikkale University

Research output: Contribution to journal › Article › peer-review

3 Scopus citations

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.

Original language	English
Pages (from-to)	223-232
Number of pages	10
Journal	International Journal of Mathematics and Computer in Engineering
Volume	2
Issue number	2
DOIs	https://doi.org/10.2478/ijmce-2024-0017
State	Published - 1 Dec 2024

Keywords

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

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10.2478/ijmce-2024-0017

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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.",

keywords = "fractional Kinetic equation, generalized Hurwitz-Lerch Zeta function, Hurwitz-Lerch Zeta function, Laplace transform, Mittag-Leffler function",

author = "Oguz Yagcı and Recep {\c S}ahin and Nisar, \{Kottakkaran Sooppy\}",

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AU - Yagcı, Oguz

AU - Şahin, Recep

AU - Nisar, Kottakkaran Sooppy

PY - 2024/12/1

Y1 - 2024/12/1

N2 - 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.

AB - 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.

KW - fractional Kinetic equation

KW - generalized Hurwitz-Lerch Zeta function

KW - Hurwitz-Lerch Zeta function

KW - Laplace transform

KW - Mittag-Leffler function

UR - https://www.scopus.com/pages/publications/105002805206

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DO - 10.2478/ijmce-2024-0017

M3 - Article

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JO - International Journal of Mathematics and Computer in Engineering

JF - International Journal of Mathematics and Computer in Engineering

IS - 2

ER -

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

Abstract

Keywords

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