Results 111 to 120 of about 697,977 (380)

Existence results for impulsive nonlinear fractional differential equation with mixed boundary conditions

, 2016
In this paper, the existence and uniqueness of solutions for an impulsive mixed boundary value problem of nonlinear differential equations of fractional order are obtained. Our results are based on some fixed point theorems.
Zhanbing Bai, Xiaoyu Dong, Chuntao Yin
semanticscholar   +1 more source

Circulating tumor DNA monitoring and blood tumor mutational burden in patients with metastatic solid tumors treated with atezolizumab

Molecular Oncology, EarlyView.
In patients treated with atezolizumab as a part of the MyPathway (NCT02091141) trial, pre‐treatment ctDNA tumor fraction at high levels was associated with poor outcomes (radiographic response, progression‐free survival, and overall survival) but better sensitivity for blood tumor mutational burden (bTMB).
Charles Swanton, Russell W. Madison, Candice Francheska B. Tambaoan, Funda Meric‐Bernstam, Christopher J. Sweeney, Razelle Kurzrock, Howard A. Burris III, David R. Spigel, Hanna Tukachinsky, Jason Hughes, Julia Malato, Bongin Yoo, Tania Szado, Cheryl Schwab, Lincoln W. Pasquina, Amaya Gasco, Katja Schulze, Claire F. Friedman   +17 more
wiley   +1 more source

Equations of Mathematical Physics and Compositions of Brownian and Cauchy processes

, 2010
We consider different types of processes obtained by composing Brownian motion $B(t)$, fractional Brownian motion $B_{H}(t)$ and Cauchy processes $% C(t)$ in different manners. We study also multidimensional iterated processes in $\mathbb{R}^{d},$ like,
Beghin, Luisa, Orsingher, Enzo, Sakhno, Lyudmyla   +2 more
core   +1 more source

Fractional Sobolev’s Spaces on Time Scales via Conformable Fractional Calculus and Their Application to a Fractional Differential Equation on Time Scales

, 2016
Using conformable fractional calculus on time scales, we first introduce fractional Sobolev spaces on time scales, characterize them, and define weak conformable fractional derivatives.
Yanning Wang, Jianwen Zhou, Yongkun Li
semanticscholar   +1 more source

On Analytical Solutions of the Fractional Differential Equation with Uncertainty: Application to the Basset Problem

Entropy, 2015
In this paper, we apply the concept of Caputo’s H-differentiability, constructed based on the generalized Hukuhara difference, to solve the fuzzy fractional differential equation (FFDE) with uncertainty. This is in contrast to conventional solutions that
S. Salahshour, A. Ahmadian, N. Senu, D. Baleanu, P. Agarwal   +4 more
semanticscholar   +1 more source

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

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

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

( 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

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