A Fractional Order Hepatitis C Mathematical Model with Mittag‐Leffler Kernel

HM Alshehri, A Khan - Journal of Function Spaces, 2021 - Wiley Online Library
In this paper, a mathematical fractional order Hepatitis C virus (HCV) spread model is
presented for an analytical and numerical study. The model is a fractional order extension of …

A generalized study of the distribution of buffer over calcium on a fractional dimension

S Bhatter, K Jangid, S Kumawat… - … in Science and …, 2023 - Taylor & Francis
Calcium is an essential element in our body and plays a vital role in moderating calcium
signalling. Calcium is also called the second messenger. Calcium signalling depends on …

A comparative study on generating function relations for generalized hypergeometric functions via generalized fractional operators

A Çetinkaya, IO Kıymaz, P Agarwal… - Advances in Difference …, 2018 - Springer
In this paper, we present further generalizations of the beta function; Riemann–Liouville,
Caputo and Kober–Erdelyi fractional operators by using confluent hypergeometric function …

[PDF][PDF] A study of extended beta and associated functions connected to Fox-Wright function

UM Abubakar - 12th Symposium of the Fractional Calculus and …, 2021 - jfca.journals.ekb.eg
In this talk, we study extended beta and associated functions (Gauss hypergeometric and
confluent hypergeometric functions) connected to Fox-Wright function. For the newly …

A remark on the q-fractional order differential equations

Y Tang, T Zhang - Applied Mathematics and Computation, 2019 - Elsevier
An analytical method to obtain the exact solution of q-fractional order differential equations
was presented in article Koca (2015) which shows that:“Solving a q-fractional order …

[PDF][PDF] New generalized beta function associated with the Fox-Wright function

UM Abubakar - Journal of Fractional Calculus and Application, 2021 - journals.ekb.eg
Many researchers proposed generalized gamma and beta functions by considering variants
kernel such as exponential, Mittag-Leffler, Macdonald, Bessel-Struve, confluent …

New approaches for the solution of space-time fractional Schrödinger equation

A Demir, MA Bayrak, E Ozbilge - Advances in Difference Equations, 2020 - Springer
The aim of this study is to establish the solution of the time-space fractional Schrödinger
equation subject to initial and boundary conditions which has many applications in science …

A new extension of modified gamma and beta functions

UM Abubakar, SR Kabara, MA Lawan… - … University Journal of …, 2021 - dergipark.org.tr
In this research paper, a new extension of modified Gamma and Beta functions is presented
and various functional, symmetric, first and second summation relations, Mellin transforms …

A further extension of the extended Riemann-Liouville fractional derivative operator

M Bohner, G Rahman, S Mubeen… - Turkish Journal of …, 2018 - journals.tubitak.gov.tr
The main objective of this paper is to establish the extension of an extended fractional
derivative operator by using an extended beta function recently defined by Parmar et al. by …

A comparative analysis of modified extended fractional derivative and integral operators via modified extended beta function with applications to generating functions

UM Abubakar - Çankaya University Journal of Science and …, 2022 - dergipark.org.tr
This article object is to introduce new extension of the extended beta, Gauss
hypergeometric, Appell hypergeometric and Lauricella hypergeometric functions. The new …