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

Oğuz Yağcı

Oğuz Yağcı

Department of Mathematics, Faculty of Art and Sciences, Kırıkkale UniversityKırıkkale, Türkiye
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Yağcı, Oğuz
, 
Recep Şahin

Recep Şahin

Department of Mathematics, Faculty of Art and Sciences, Kırıkkale UniversityKırıkkale, Türkiye
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Şahin, Recep
 and 
Kottakkaran Sooppy Nisar

Kottakkaran Sooppy Nisar

Department of Mathematics, College of Science and Humanities in Alkharj, Prince Sattam Bin Abdulaziz UniversityAlkharj, Saudi Arabia
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Nisar, Kottakkaran Sooppy
  
Jan 10, 2024
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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
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© 2024 Oğuz Yağcı et al., published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.

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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