Results 81 to 90 of about 191,994 (333)

On the fractional differential equations with not instantaneous impulses

Open Physics, 2016
AbstractBased on some previous works, an equivalent equations is obtained for the differential equations of fractional-orderq∈(1, 2) with non-instantaneous impulses, which shows that there exists the general solution for this impulsive fractional-order systems. Next, an example is used to illustrate the conclusion.
Zhang, Xianmin, Agarwal, Praveen, Liu, Zuohua, Zhang, Xianzhen, Ding, Wenbin, Ciancio, Armando   +5 more
openaire   +4 more sources

Tumor clusters with divergent inflammation and human retroelement expression determine the clinical outcome of patients with serous ovarian cancer

Molecular Oncology, EarlyView.
Analysis of treatment‐naïve high‐grade serous ovarian carcinoma (HGSOC) and control tissues for ERVs, LINE‐1 (L1), inflammation, and immune checkpoints identified five clusters with diverse patient recurrence‐free survivals. An inflammation score was calculated and correlated with retroelement expression, where one novel cluster (Triple‐I) with high ...
Laura Glossner, Markus Eckstein, Christoph Mark, Matthias W. Beckmann, Arndt Hartmann, Pamela L. Strissel, Reiner Strick   +6 more
wiley   +1 more source

Finite element approximations for second order stochastic differential equation driven by fractional Brownian motion

, 2017
We consider finite element approximations for a one dimensional second order stochastic differential equation of boundary value type driven by a fractional Brownian motion with Hurst index $H\le 1/2$.
Cao, Yanzhao, Hong, Jialin, Liu, Zhihui
core   +2 more sources

Converting fractional differential equations into partial differential equations

Thermal Science, 2012
A transform is suggested in this paper to convert fractional differential equations with the modified Riemann-Liouville derivative into partial differential equations, and it is concluded that the fractional order in fractional differential equations is equivalent to the fractal dimension.
Zheng-Biao Li, Ji-Huan He
openaire   +2 more sources

EGFR‐STAT3 activation provides a therapeutic rationale for targeting aggressive ETV1‐positive prostate cancer

Molecular Oncology, EarlyView.
Cotargeting EGFR and STAT3 with Erlotinib and TTI‐101 impairs both 2D and 3D growth of ETV1‐overexpressing prostate cancer cells by disrupting a self‐sustaining ETV1–EGFR positive feedback loop that promotes EGFR and STAT3 expression and phosphorylation (activation).
Elsa Gomes Paiva, Bernardo Orr, Ana Azeredo, Andreia Brandão, Manuel R. Teixeira, Paula Paulo   +5 more
wiley   +1 more source

Solutions of the Fractional Reaction Equation and the Fractional Diffusion Equation

, 2009
In view of the role of reaction equations in physical problems, the authors derive the explicit solution of a fractional reaction equation of general character, that unifies and extends earlier results.
Haubold, H. J., Mathai, A. M., Saxena, R. K.   +2 more
core   +1 more source

Fractional complex transforms for fractional differential equations [PDF]

Advances in Difference Equations, 2012
The fractional complex transform is employed to convert fractional differential equations analytically in the sense of the Srivastava-Owa fractional operator and its generalization in the unit disk. Examples are illustrated to elucidate the solution procedure including the space-time fractional differential equation in complex domain, singular problems
openaire   +2 more sources

Inequalities for fractional differential equations [PDF]

Mathematical Inequalities & Applications, 2009
We consider some differential inequalities involving fractional derivatives in the sense of Riemann-Liouville. Bounds for theses fractional differential inequalities are found using desingularization techniques combined with some generalizations of Bihari-type inequalities. Some applications illustrating the usefulness of our results are also provided.
N. E. T Atar, G. Anastassiou, Khaled M. Furati   +2 more
openaire   +1 more source

Cytomegalovirus infection is common in prostate cancer and antiviral therapies inhibit progression in disease models

Molecular Oncology, EarlyView.
Human cytomegalovirus infection is common in normal prostate epithelium, prostate tumor tissue, and prostate cancer cell lines. CMV promotes cell survival, proliferation, and androgen receptor signaling. Anti‐CMV pharmaceutical compounds in clinical use inhibited cell expansion in prostate cancer models in vitro and in vivo, motivating investigation ...
Johanna Classon, Moa Stenudd, Margherita Zamboni, Kanar Alkass, Carl‐Johan Eriksson, Lars Pedersen, Alrik Schörling, Anna Thoss, Anders Bergh, Pernilla Wikström, Hans‐Olov Adami, Henrik Toft Sørensen, Henrik Druid, Jonas Frisén   +13 more
wiley   +1 more source

( k , φ ) $(\mathtt{k},\varphi )$ -Hilfer fractional Langevin differential equation having multipoint boundary conditions

Boundary Value Problems
The primary objective of this manuscript is to investigate the existence and uniqueness of solutions for the Langevin ( k , φ ) $(\mathtt{k},\varphi )$ -Hilfer fractional differential equation of different orders with multipoint nonlocal fractional ...
HuiYan Cheng, Naila, Akbar Zada, Ioan-Lucian Popa, Afef Kallekh   +4 more
doaj   +1 more source