Results 51 to 60 of about 7,145,429 (257)

On a Fractional Operator Combining Proportional and Classical Differintegrals

Mathematics, 2020
The Caputo fractional derivative has been one of the most useful operators for modelling non-local behaviours by fractional differential equations. It is defined, for a differentiable function f ( t ) , by a fractional integral operator applied to
Dumitru Baleanu, Arran Fernandez, Ali Akgül   +2 more
doaj   +1 more source

Metastatic niche shaped by host factors influences disseminated cancer cell fate

FEBS Letters, EarlyView.
Metastasis is shaped not only by cancer cells but also by the environments they encounter. This review explores how factors such as aging, diet, the microbiome, lifestyle, and environmental exposures remodel organ‐specific niches in the lung, liver, bone, and brain, influencing where metastatic cells survive, remain dormant, or grow, and ultimately ...
Gwennan Delyth Ward, Álvaro Ruiz‐Tabas, Patricia Altea‐Manzano   +2 more
wiley   +1 more source

Some Integral Inequalities for Local Fractional Integrals

International Journal of Analysis and Applications, 2017
In this paper, firstly we extend some generalization of the Hermite-Hadamard inequality and Bullen inequality to generalized convex functions. Then, we give some important integral inequalities related to these inequalities.
M. Zeki Sarikaya, samet Erden, Hüseyin Budak   +2 more
doaj   +2 more sources

Generalized Fractional Integral Operators on Generalized Local Morrey Spaces

Journal of Function Spaces, 2015
We study the continuity properties of the generalized fractional integral operator Iρ on the generalized local Morrey spaces LMp,φ{x0} and generalized Morrey spaces Mp,φ. We find conditions on the triple (φ1,φ2,ρ) which ensure the Spanne-type boundedness
V. S. Guliyev, A. F. Ismayilova, A. Kucukaslan, A. Serbetci   +3 more
doaj   +1 more source

Membrane composition and thermodynamic identity as boundaries of life for synthetic cell research

FEBS Letters, EarlyView.
What makes a cell a cell? The boundary of a living cell is not just a wall. Read as a Markov blanket, the membrane separates internal from external states, generating identity and non‐equilibrium order. Can this identity be rebuilt from scratch in a synthetic cell?
Caterina Presutti, Bert Poolman
wiley   +1 more source

Lp-solutions for fractional integral equations

, 2014
In this article, we examine L (p) -solutions of fractional integral equations in Banach spaces involving the Riemann-Liouville integral operator. Using a compactness type condition, we obtain local and global existence of solutions.
Arshad, Sadia, O’Regan, Donal, Lupulescu, Vasile   +2 more
core   +1 more source

The inhomogeneous fractional stochastic heat equation driven by fractional Brownian motion [PDF]

Arab Journal of Mathematical Sciences
PurposeThe primary objective of this paper is to address a fractional Hardy-Hénon equation driven by fractional Brownian noise. By imposing appropriate conditions on the equation’s parameters, a local well-posedness result has been successfully ...
Rasha Alessa, Reem Al Subaie, Maram Alwohaibi, Mohamed Majdoub, Ezzedine Mliki   +4 more
doaj   +1 more source

Developmental programmes drive cellular plasticity, disease progression and therapy resistance in lung adenocarcinoma

Molecular Oncology, EarlyView.
This study shows that lung adenocarcinomas exploit developmental branching morphogenesis to acquire a therapy resistant basal‐like tumour cell state. This process was found to be regulated by combined TP53 loss‐of‐function and type‐I interferon signalling, identifying a novel axis for biomarker and therapeutic target discovery.
Kamila J Bienkowska, Stephany Gallardo, Nur S. Zainal, Leena Arora, Matthew Ellis, Maria‐Antoinette Lopez, Judith Austine, Sai Pittla, Serena J Chee, Aiman Alzetani, Emily C Shaw, Christian H Ottensmeier, Gareth J Thomas, Christopher J Hanley   +13 more
wiley   +1 more source

Efficient solution of a wave equation with fractional-order dissipative terms [PDF]

, 2009
We consider a wave equation with fractional-order dissipative terms modeling viscothermal losses on the lateral walls of a duct, namely the Webster-Lokshin model.
Haddar, Houssem, Li, J.-R., Li, Jing Rebeca, Matignon, Denis, Li, Jing-Rebecca, Haddar, H., Matignon, D.   +6 more
core   +1 more source

Solving Undamped and Damped Fractional Oscillators via Integral Rohit Transform

Al-Mustansiriyah Journal of Science
Background: The dynamics of fractional oscillators are generally described by fractional differential equations, which include the fractional derivative of the Caputo or Riemann-Liouville type.
Rohit Gupta, Rahul Gupta, Dinesh Verma
doaj   +1 more source