Results 81 to 90 of about 537,797 (362)

On the Stability of a Hyperbolic Fractional Partial Differential Equation [PDF]

Differential Equations and Dynamical Systems, 2018
In this paper, the $$\psi $$ ψ -Riemann–Liouville fractional partial integral and the $$\psi $$ ψ -Hilfer fractional partial derivative are introduced and some of its particular cases are recovered.
J. Vanterler, Danilo C. Sousa, E. C. Oliveira   +2 more
semanticscholar   +1 more source

ON THE FRACTIONAL RICCATI DIFFERENTIAL EQUATION [PDF]

International Journal of Pure and Apllied Mathematics, 2016
In this paper, We tried to find an analytical solution of nonlinear Riccati con- formable fractional differential equation. Fractional derivatives are described in the con- formable derivative. The behavior of the solutions and the effects of different values of frac- tional orderare presented graphically and table.
Mehmet Merdan, Tahir Khaniyev
openaire   +1 more source

A large‐scale retrospective study in metastatic breast cancer patients using circulating tumour DNA and machine learning to predict treatment outcome and progression‐free survival

Molecular Oncology, EarlyView.
There is an unmet need in metastatic breast cancer patients to monitor therapy response in real time. In this study, we show how a noninvasive and affordable strategy based on sequencing of plasma samples with longitudinal tracking of tumour fraction paired with a statistical model provides valuable information on treatment response in advance of the ...
Emma J. Beddowes, Mario Ortega Duran, Solon Karapanagiotis, Alistair Martin, Meiling Gao, Riccardo Masina, Ramona Woitek, James Tanner, Fleur Tippin, Justine Kane, Jonathan Lay, Anja Brouwer, Stephen‐John Sammut, Suet‐Feung Chin, Davina Gale, Dana W. Y. Tsui, Sarah‐Jane Dawson, Nitzan Rosenfeld, Maurizio Callari, Oscar M. Rueda, Carlos Caldas   +20 more
wiley   +1 more source

Oscillation of solutions to nonlinear forced fractional differential equations

Electronic Journal of Differential Equations, 2013
In this article, we study the oscillation of solutions to a nonlinear forced fractional differential equation. The fractional derivative is defined in the sense of the modified Riemann-Liouville derivative.
Qinghua Feng, Fanwei Meng
doaj  

( 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

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

Escape from TGF‐β‐induced senescence promotes aggressive hallmarks in epithelial hepatocellular carcinoma cells

Molecular Oncology, EarlyView.
Chronic TGF‐β exposure drives epithelial HCC cells from a senescent state to a TGF‐β resistant mesenchymal phenotype. This transition is characterized by the loss of Smad3‐mediated signaling, escape from senescence, enhanced invasiveness and metastatic potential, and upregulation of key resistance modulators such as MARK1 and GRM8, ultimately promoting
Minenur Kalyoncu, Dilara Demirci, Sude Eris, Bengisu Dayanc, Ece Cakiroglu, Merve Basol, Merve Uysal, Gulcin Cakan‐Akdogan, Fang Liu, Mehmet Ozturk, Gökhan Karakülah, Serif Senturk   +11 more
wiley   +1 more source

Numerical solution for a class of multi-order fractional differential equations with error correction and convergence analysis

Advances in Difference Equations, 2018
In this article, we investigate numerical solution of a class of multi-order fractional differential equations with error correction and convergence analysis.
Wei Han, Yi-Ming Chen, Da-Yan Liu, Xiao-Lin Li, Driss Boutat   +4 more
doaj   +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

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