Results 51 to 60 of about 171,468 (355)

On Novel Fractional Integral and Differential Operators and Their Properties

Journal of Mathematics, 2023
The main goal of this paper is to describe the new version of extended Bessel–Maitland function and discuss its special cases. Then, using the aforementioned function as their kernels, we develop the generalized fractional integral and differential ...
Shahid Mubeen, Rana Safdar Ali, Yasser Elmasry, Ebenezer Bonyah, Artion Kashuri, Gauhar Rahman, Çetin Yildiz   +6 more
doaj   +1 more source

New Investigation on the Generalized K-Fractional Integral Operators

Frontiers of Physics, 2020
The main objective of this paper is to develop a novel framework to study a new fractional operator depending on a parameter K > 0, known as the generalized K-fractional integral operator.
S. Rashid, Z. Hammouch, H. Kalsoom, Rehana Ashraf, Y. Chu   +4 more
semanticscholar   +1 more source

An extension problem related to the fractional Branson-Gover operators

, 2019
The Branson-Gover operators are conformally invariant differential operators of even degree acting on differential forms. They can be interpolated by a holomorphic family of conformally invariant integral operators called fractional Branson-Gover ...
Frahm, Jan, Zhang, Genkai, Ørsted, Bent
core   +1 more source

An Application of Multiple Erdélyi–Kober Fractional Integral Operators to Establish New Inequalities Involving a General Class of Functions

Fractal and Fractional
This research aims to develop generalized fractional integral inequalities by utilizing multiple Erdélyi–Kober (E–K) fractional integral operators. Using a set of j, with (j∈N) positively continuous and decaying functions in the finite interval a≤t≤x ...
Asifa Tassaddiq, R. Srivastava, Rabab Alharbi, R. Kasmani, Sania Qureshi   +4 more
semanticscholar   +1 more source

On Weyl fractional integral operators

Tamkang Journal of Mathematics, 2004
In this paper, we first establish an interesting theorem exhibiting a relationship existing between the Laplace transform and Weyl fractional integral operator of related functions. This theorem is sufficiently general in nature as it contains $n$ series involving arbitrary complex numbers $ \Omega(r_1,\ldots r_n) $.
Jain, Rashmi, Pathan, M. A.
openaire   +3 more sources

On Weighted (k, s)-Riemann-Liouville Fractional Operators and Solution of Fractional Kinetic Equation

Fractal and Fractional, 2021
In this article, we establish the weighted (k,s)-Riemann-Liouville fractional integral and differential operators. Some certain properties of the operators and the weighted generalized Laplace transform of the new operators are part of the paper.
Muhammad Samraiz, Muhammad Umer, Artion Kashuri, Thabet Abdeljawad, Sajid Iqbal, Nabil Mlaiki   +5 more
doaj   +1 more source

On generalized fractal-fractional derivative and integral operators associated with generalized Mittag-Leffler function. [PDF]

Heliyon
Khan H, Rahman G, Samraiz M, Shah K, Abdeljawad T.   +4 more
europepmc   +2 more sources

On Fractional Integral Inequalities Involving Hypergeometric Operators [PDF]

Chinese Journal of Mathematics, 2014
Here we aim at establishing certain new fractional integral inequalities involving the Gauss hypergeometric function for synchronous functions which are related to the Chebyshev functional. Several special cases as fractional integral inequalities involving Saigo, Erdélyi-Kober, and Riemann-Liouville type fractional integral operators are presented in ...
Baleanu, D., Purohit, S. D., Agarwal, Praveen   +2 more
openaire   +1 more source

Generalized fractional maximal and integral operators on Orlicz and generalized Orlicz--Morrey spaces of the third kind

, 2018
In the present paper, we will characterize the boundedness of the generalized fractional integral operators $I_{\rho}$ and the generalized fractional maximal operators $M_{\rho}$ on Orlicz spaces, respectively.
Deringoz, Fatih, Guliyev, Vagif S., Nakai, Eiichi, Sawano, Yoshihiro, Shi, Minglei   +4 more
core   +1 more source

Chebyshev type inequalities involving extended generalized fractional integral operators

AIMS Mathematics, 2020
In this paper, mainly by using the extended generalized fractional integral operator that involve a further extension of Mittag-Leffler function in the kernel, we obtain several fractional Chebyshev type integral inequalities.
E. Set, M. Özdemir, Sevdenur Demirbaş
semanticscholar   +1 more source