On New Matrix Version Extension of the Incomplete Wright Hypergeometric Functions and Their Fractional Calculus

Ahmed Bakhet, Abd-Allah Hyder, Areej A. Almoneef (), Mohamed Niyaz and Ahmed H. Soliman
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Ahmed Bakhet: Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt
Abd-Allah Hyder: Department of Mathematics, College of Science, King Khalid University, P.O. Box 9004, Abha 61413, Saudi Arabia
Areej A. Almoneef: Department of Mathematical Sciences, College of Science, Princess Nourah Bint Abdulrahman University, P.O. Box 84428, Riyadh 11671, Saudi Arabia
Mohamed Niyaz: Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt
Ahmed H. Soliman: Department of Mathematics, Faculty of Science, Al-Azhar University, Assiut 71524, Egypt

Mathematics, 2022, vol. 10, issue 22, 1-14

Abstract: Through this article, we will discuss a new extension of the incomplete Wright hypergeometric matrix function by using the extended incomplete Pochhammer matrix symbol. First, we give a generalization of the extended incomplete Wright hypergeometric matrix function and state some integral equations and differential formulas about it. Next, we obtain some results about fractional calculus of these extended incomplete Wright hypergeometric matrix functions. Finally, we discuss an application of the extended incomplete Wright hypergeometric matrix function in the kinetic equations.

Keywords: incomplete wright hypergeometric function; integral representation; fractional calculus; kinetic equation; pochhammer matrix symbol (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
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