SOME MATRIX FAMILIES OF THE HURWITZ–LERCH -FUNCTIONS AND ASSOCIATED FRACTIONAL KINETIC EQUATIONS

M Hidan, M Akel, H Abd-Elmageed, M Abdalla - Fractals, 2022 - World Scientific
This research paper aims to introduce an extension of the k-Hurwitz–Lerch ζ-function of
matrix arguments and interpret its several properties, like generating matrix relations …

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 …

On solution of fractional kinetic equation involving Riemann xi function via Sumudu transform

M Aychluh - International Journal of Mathematics for Industry, 2023 - World Scientific
Several significant questions of mathematics and mathematical physics have been
effectively explained and answered through the use of fractional kinetic equations …

[PDF][PDF] New results for generalized Hurwitz-Lerch Zeta functions using laplace transform

O Yağcı, R Şahin, KS Nisar - … Journal of Mathematics and Computer in … - sciendo.com
Abstract Fractional Kinetic equations (FKEs) including a wide variety of special functions are
widely and successfully applied in describing and solving many important problems of …

FRACTIONAL CALCULUS AND FRACTIONAL KINETIC EQUATION INVOLVING EXTENDED HYPERGEOMETRIC FUNCTION.

ML Kaurangini, MP Chaudhary, E Ata… - … of Mathematics & …, 2023 - search.ebscohost.com
In this article, generalized pathway integral operator with the classical Gauss
hypergeometric function kernel and the fractional differential operators are used to studied …

[PDF][PDF] Accepted Manuscript Fractals

Q Haidong, MU Rahman, M Arfan, G Laouini… - researchgate.net
The current paper discussed a new operator known as a fractal-fractional, considered in the
Caputo sense. We have investigated the fractional mathematical model of Tuberculosis (TB) …