We present in this paper a generalization of the fractional kinetic equation using the generalized incomplete Wright hypergeometric function. The pathway-type transform …
In recent years, fractional kinetic equations (FKEs) involving various special functions have been widely used to describe and solve significant problems in control theory, biology …
UM Abubakar - Journal of New Theory, 2022 - dergipark.org.tr
The main objective of this paper is to use the newly proposed $(p, q; l) $-extended beta function to introduce the $(p, q; l) $-extended $ τ $-Gauss hypergeometric and the $(p, q; l) …
In this paper, we construct a (p, k)-hypergeometric function by using the Hadamard product, which we call the generalized (p, k)-hypergeometric function. Several properties, namely …
M Gupta, K Modi, NS Solanki, S Ali - The Journal of Analysis, 2022 - Springer
The area of fractional calculus (FC) has been fast developing and is presently being applied in all scientific fields. Therefore, it is of key relevance to assess the present state of …
Recently, integral transforms are a powerful tool used in many areas of mathematics, physics, engineering, and other fields and disciplines. This article is devoted to the study of …
UM Abubakar - preprint, doi, 2022 - researchgate.net
Recently, the applications of the special functions of mathematics have developed significantly in such fields as fractional calculus, approximation theory, mathematical …
In recent years, fractional kinetic equations (FKEs) involving various special functions have been widely used to describe and solve significant problems in control theory, biology …
S Panwar, P Rai - South East Asian Journal of Mathematics …, 2022 - search.ebscohost.com
In this paper, we introduce a generalized form of Whittaker function with the help of generalized conuent k-hypergeometric function. We establish several interesting properties …