Analytic solutions to the fractional kinetic equation involving the generalized Mittag-Leffler function using the degenerate Laplace type integral approach

Y Almalki, M Abdalla - The European Physical Journal Special Topics, 2023 - Springer
Recently, several fractional kinetic equations involving various special functions have been
widely and usefully used in describing and solving diverse important problems in physics …

Application of the pathway-type transform to a new form of a fractional kinetic equation involving the generalized incomplete Wright hypergeometric functions

MZ Alqarni, A Bakhet, M Abdalla - Fractal and Fractional, 2023 - mdpi.com
We present in this paper a generalization of the fractional kinetic equation using the
generalized incomplete Wright hypergeometric function. The pathway-type transform …

Novel Kinds of Fractional λ–Kinetic Equations Involving the Generalized Degenerate Hypergeometric Functions and Their Solutions Using the Pathway-Type Integral

MZ Alqarni, M Abdalla - Mathematics, 2023 - mdpi.com
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 …

Solutions of Fractional Kinetic Equations using the -Extended τ -Gauss Hypergeometric Function

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) …

ON THE CONSTRUCTION OF -HYPERGEOMETRIC FUNCTION AND APPLICATIONS

F He, A Bakhet, M Hidan, H Abd-Elmageed - Fractals, 2022 - World Scientific
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 …

Fractional integration and differentiation of the (pq)-extended -hypergeometric function and related Jacobi transforms

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 …

Results on the modified degenerate Laplace-type integral associated with applications involving fractional kinetic equations

Y Almalki, M Abdalla, H Abd-Elmageed - Demonstratio Mathematica, 2023 - degruyter.com
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 …

[PDF][PDF] The solutions of fractional kinetic equations involve extended special functions

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 …

[PDF][PDF] Novel Kinds of Fractional L–Kinetic Equations Involving the Generalized Degenerate Hypergeometric Functions and Their Solutions Using the Pathway-Type …

MZ Alqarni, M Abdalla - 2023 - researchgate.net
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 …

FRACTIONAL INTEGRAL OF WHITTAKER k-FUNCTION AND ITS PROPERTIES.

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 …