Work

Solution of Fractional Kinetic Equations Involving New Extended Incomplete Second Appell Hypergeometric Matrix Functions

Year: 2025

Type: article

Abstract: In this paper, we introduce a new extension of the incomplete second Appell hypergeometric matrix functions (EISAHMFs) and extension of the second Appell hypergeometric matrix functions (ESAHMFs) in terms of the extended incomplete Pochhammer matrix symbols and extended Pochhammer matrix symbols, respectively. Firstly, we define an extension of the EISAHMFs and ESAHMFs. Subsequently, we investigate integral representations, differential formulas, transformation formulas, and recurrence relations pertaining to EISAHMFs. Then, we present the Mellin matrix transform of the ESAHMFs. Finally, a new result regarding the solution of the fractional kinetic equations in the terms of newly ESAHMFs is discussed.

Source: Journal of Function Spaces

DOI: 10.1155/jofs/9578749

Authors: Muneera Abdullah Qadha, Sarah Abdullah Qadha

Institutions: Central South University, Sana'a University

Language: English

Topic: Mathematical functions and polynomials

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $2,830

OpenAlex ID: W4409433011

FWCI: 5.657

Cites: 51

Cited by: 3

Related to: 10