Results 51 to 60 of about 1,761,784 (288)

On Certain Analogues of Noor Integral Operators Associated with Fractional Integrals

Journal of Function Spaces
In this paper, we employ a q-Noor integral operator to perform a q-analogue of certain fractional integral operator defined on an open unit disc. Then, we make use of the Hadamard convolution product to discuss several related results.
Mojtaba Fardi, Ebrahim Amini, Shrideh Al-Omari   +2 more
doaj   +1 more source

Optimal control of fractional systems: a diffusive formulation [PDF]

, 2010
Optimal control of fractional linear systems on a finite horizon can be classically formulated using the adjoint system. But the adjoint of a causal fractional integral or derivative operator happens to be an anti-causal operator: hence, the adjoint ...
Matignon, Denis
core  

Liver organoids: modelling complexity in homeostasis and disease

FEBS Letters, EarlyView.
Studying liver in vitro has been challenging because simple 2D cell cultures fail to capture liver's cellular and architectural complexity. To bridge this gap, scientists increasingly use organoids, 3D liver models which better mimic liver composition and function. This review examines recent advances in liver organoid complexity and realism, discusses
Anna M. Dowbaj, Meritxell Huch
wiley   +1 more source

On the Composition Structures of Certain Fractional Integral Operators

Symmetry, 2022
This paper investigates the composition structures of certain fractional integral operators whose kernels are certain types of generalized hypergeometric functions. It is shown how composition formulas of these operators can be closely related to the various Erdélyi-type hypergeometric integrals.
Min-Jie Luo, Ravinder Krishna Raina
openaire   +2 more sources

Golgi enzymes are retrieved from the plasma membrane to the trans‐Golgi network

FEBS Letters, EarlyView.
Golgi enzymes are traditionally considered resident proteins retained within the Golgi apparatus. Here, we demonstrate that a subset transiently reaches the cell surface and is subsequently retrieved to the trans‐Golgi network via retrograde transport. Using a nanobody‐based toolkit, we uncover a dynamic trafficking cycle of several Golgi enzymes.
Dominik P. Buser, Tina Junne
wiley   +1 more source

Weak Type Inequalities for Some Integral Operators on Generalized Nonhomogeneous Morrey Spaces

Journal of Function Spaces and Applications, 2013
We prove weak type inequalities for some integral operators, especially generalized fractional integral operators, on generalized Morrey spaces of nonhomogeneous type.
Hendra Gunawan, Denny Ivanal Hakim, Yoshihiro Sawano, Idha Sihwaningrum   +3 more
doaj   +1 more source

Analytic Normalized Solutions of 2D Fractional Saint-Venant Equations of a Complex Variable

Journal of Function Spaces, 2021
Saint-Venant equations describe the flow below a pressure surface in a fluid. We aim to generalize this class of equations using fractional calculus of a complex variable.
Najla M. Alarifi, Rabha W. Ibrahim
doaj   +1 more source

Integral representation for fractional Laplace–Beltrami operators [PDF]

Advances in Mathematics, 2018
In this paper we provide an integral representation of the fractional Laplace-Beltrami operator for general riemannian manifolds which has several interesting applications. We give two different proofs, in two different scenarios, of essentially the same result. One of them deals with compact manifolds with or without boundary, while the other approach
Alonso-Orán, Diego, Cordoba Barba, Antonio, Martínez, Ángel D.   +2 more
openaire   +4 more sources

Methods for Solving Some Fractional Integral

, 2023
: In this paper, based on Jumarie’s modified Riemann-Liouville (R-L) fractional calculus, we evaluate some fractional integral. The main methods we used are fractional L’Hospital’s rule, integration by parts for fractional calculus, and a new ...
Chii-Huei Yu
core   +1 more source

Ligand‐dependent transcriptional heterogeneity in cell cycle gene expression delays G1/S entry

FEBS Letters, EarlyView.
EGF and HRG induce distinct G1/S progression programs in ErbB2‐amplified BT474 breast cancer cells. Despite activating the potent ErbB2–ErbB3 heterodimer, HRG does not accelerate cell‐cycle entry. Instead, EGF promotes earlier restriction‐point passage via ERK–FOS signaling, whereas HRG activates the AKT–MYC axis, driving transcriptional heterogeneity ...
Ririn Rahmala Febri, Ayaka Nagasato‐Ichikawa, Keita Iida, Shuhei Kimura, Akira Imamoto, Mariko Okada   +5 more
wiley   +1 more source