κ-FRACTIONAL DERIVATIVE OPERATOR AND SOLUTION OF FRACTIONAL KINETIC EQUATIONS INVOLVING (κ,ð ” )-SECOND APPELL HYPERGEOMETRIC MATRIX FUNCTIONS WITH THE TWO VARIABLES

Muneera Abdullah Qadha, Sarah Abdullah Qadha and Mohamed Abdalla ()
Additional contact information
Muneera Abdullah Qadha: School of Mathematics and Statistics, Central South University, Changsha 410083, P. R. China†Department of Mathematics, Faculty of Education at Al-Mahweet, Sana’a University, Al-Mahweet, Yemen
Sarah Abdullah Qadha: School of Mathematics and Statistics, Central South University, Changsha 410083, P. R. China†Department of Mathematics, Faculty of Education at Al-Mahweet, Sana’a University, Al-Mahweet, Yemen
Mohamed Abdalla: ��Department of Mathematics, College of Science, King Khalid University, Abha 61413, Saudi Arabia

FRACTALS (fractals), 2025, vol. 33, issue 03, 1-14

Abstract: In this study, we present a new definition of (κ, ð ” )-second Appell hypergeometric matrix functions ((κ, ð ” )-SAHMFs). Then, we investigate analytical properties related to the novel matrix function such as derivative formulas and integral representations, and the κ-fractional derivative operators. Additionally, we obtain bilinear and linear generating relations for the (κ, ð ” )-SAHMFs. This work presents novel results regarding (κ, ð ” )-SAHMFs to solve the fractional kinetic equations.

Keywords: Second Appell Hypergeometric Matrix Functions; κ-gamma Matrix Function; Integral Representations; κ-fractional Derivative Operators; Fractional Kinetic Equation (search for similar items in EconPapers)
Date: 2025
References: Add references at CitEc
Citations:

Downloads: (external link)
http://www.worldscientific.com/doi/abs/10.1142/S0218348X24501469
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:33:y:2025:i:03:n:s0218348x24501469

Ordering information: This journal article can be ordered from

DOI: 10.1142/S0218348X24501469

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 ().