SOME MATRIX FAMILIES OF THE HURWITZ–LERCH ζ-FUNCTIONS AND ASSOCIATED FRACTIONAL KINETIC EQUATIONS

Muajebah Hidan, Mohamed Akel, Hala Abd-Elmageed and Mohamed Abdalla
Additional contact information
Muajebah Hidan: Department of Mathematics, Faculty of Science, King Khalid University, Abha 61471, Saudi Arabia
Mohamed Akel: ��Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt
Hala Abd-Elmageed: ��Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt
Mohamed Abdalla: Department of Mathematics, Faculty of Science, King Khalid University, Abha 61471, Saudi Arabia†Department of Mathematics, Faculty of Science, South Valley University, Qena 83523, Egypt

FRACTALS (fractals), 2022, vol. 30, issue 10, 1-12

Abstract: This research paper aims to introduce an extension of the k-Hurwitz–Lerch ζ-function of matrix arguments and interpret its several properties, like generating matrix relations, derivative formulae, Mellin transforms and integral representations. Further, we discuss the solution of the fractional kinetic equations (FKEs) involving an extended k-Hurwitz–Lerch ζ-function of matrix arguments. In addition, the results investigated in view of an extended k-Hurwitz–Lerch ζ-matrix function are rather general in nature and can easily give various known and novel FKEs.

Keywords: Riemann ζ-Function; Extended k-Lerch ζ-Matrix Function; Extended k-Hypergeometric Matrix Function; Fractional Kinetic Equations (search for similar items in EconPapers)
Date: 2022
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X22401995
Access to full text is restricted to subscribers

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:wsi:fracta:v:30:y:2022:i:10:n:s0218348x22401995

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X22401995

Access Statistics for this article

FRACTALS (fractals) is currently edited by Tara Taylor

More articles in FRACTALS (fractals) from World Scientific Publishing Co. Pte. Ltd.
Bibliographic data for series maintained by Tai Tone Lim ().