Results 41 to 50 of about 41,489 (237)

The Nehari manifold for a boundary value problem involving Riemann–Liouville fractional derivative

Advances in Difference Equations, 2018
We aim to investigate the following nonlinear boundary value problems of fractional differential equations: (Pλ){−tD1α(|0Dtα(u(t))|p−20Dtαu(t))=f(t,u(t))+λg(t)|u(t)|q−2u(t)(t∈(0,1)),u(0)=u(1)=0, $$\begin{aligned} (\mathrm{P}_{\lambda}) \left ...
Kamel Saoudi, Praveen Agarwal, Poom Kumam, Abdeljabbar Ghanmi, Phatiphat Thounthong   +4 more
doaj   +1 more source

Comparative Efficacy of Fractional CO₂ Laser and Q-Switched Nd:YAG Laser in Combination Therapy with Tranexamic Acid in Refractory Melasma: Results of a Prospective Clinical Trial

Cosmetics, 2021
Melasma manifests as hyperpigmented macules and patches, usually affecting the face, neck, and rarely upper limbs. This study evaluated comparative efficacy of a fractional CO2 laser with a Q-Switched Nd:YAG laser in combination therapy with tranexamic ...
Amir Mohammad Beyzaee, Anant Patil, Mohamad Goldust, Marjan Moslemi, Armaghan Kazeminejad, Ghasem Rahmatpour Rokni   +5 more
doaj   +1 more source

Certain Novel p,q‐Fractional Integral Inequalities of Grüss and Chebyshev‐Type on Finite Intervals

Journal of Mathematics
In this article, we investigate certain novel Grüss and Chebyshev‐type integral inequalities via fractional ‐calculus on finite intervals. Then, some new Pólya–Szegö–type ‐fractional integral inequalities are also presented. The main findings of this article can be seen as the generalizations and extensions of a large number of existing results in the ...
Xiaohong Zuo, Wengui Yang
openaire   +2 more sources

Neurochemical Endpoints to Inform Early‐Stage Trials of Spinocerebellar Ataxia 2 and 3 in a Multisite Setting

Annals of Clinical and Translational Neurology, EarlyView.
ABSTRACT Objective Neurochemical levels measured by brain MR spectroscopy (MRS) have been proposed as endpoints for clinical trials in early‐stage spinocerebellar ataxia (SCA) trials. We tested their trial‐readiness by quantifying neurochemicals in three affected brain regions in early‐stage cohorts of SCA2 and SCA3, examining their reproducibility in ...
James M. Joers, Yaqiao Wei, Dinesh K. Deelchand, Adam Berrington, Young Woo Park, Guita Banan, Michal Povazan, Jens T. Rosenberg, André J. W. van der Kouwe, Tetsuo Ashizawa, Khalaf O. Bushara, Chiadi U. Onyike, Sub H. Subramony, Jeremy D. Schmahmann, Brian J. Soher, Peter B. Barker, Thomas H. Mareci, Eva‐Maria Ratai, Lynn E. Eberly, Gülin Öz   +19 more
wiley   +1 more source

Phase Field Failure Modeling: Brittle‐Ductile Dual‐Phase Microstructures under Compressive Loading

Advanced Engineering Materials, EarlyView.
The approach by Amor and the approach by Miehe and Zhang for asymmetric damage behavior in the phase field method for fracture are compared regarding their fitness for microcrack‐based failure modeling. The comparison is performed for the case of a dual‐phase microstructure with a brittle and a ductile constituent.
Jakob Huber, Jan Torgersen, Ewald Werner
wiley   +1 more source

Existence of nontrivial solutions for a fractional p & q $p\&q$ -Laplacian equation with sandwich-type and sign-changing nonlinearities

Journal of Inequalities and Applications
In this paper, we deal with the following fractional p & q $p\&q$ -Laplacian problem: { ( − Δ ) p s u + ( − Δ ) q s u = λ a ( x ) | u | θ − 2 u + μ b ( x ) | u | r − 2 u in Ω , u ( x ) = 0 in R N ∖ Ω , $$ \left \{ \textstyle\begin{array}{l@{\quad }l ...
Qin Li, Zonghu Xiu, Lin Chen
doaj   +1 more source

Morrey spaces related to certain nonnegative potentials and fractional integrals on the Heisenberg groups

Journal of Inequalities and Applications, 2019
Let L=−ΔHn+V $\mathcal{L}=-\Delta _{\mathbb{H}^{n}}+V$ be a Schrödinger operator on the Heisenberg group Hn $\mathbb{H}^{n}$, where ΔHn $\Delta _{\mathbb{H}^{n}}$ is the sub-Laplacian on Hn $\mathbb{H}^{n}$ and the nonnegative potential V belongs to the ...
Hua Wang
doaj   +1 more source

Control of Polarization and Polar Helicity in BiFeO3 by Epitaxial Strain and Interfacial Chemistry

Advanced Functional Materials, EarlyView.
In BiFeO3 thin films, the interplay of interfacial chemistry, electrostatics, and epitaxial strain is engineered to stabilize homohelicity in polarization textures at the domain scale. The synergistic use of a Bi2O2‐terminated Aurivillius buffer layer and a highly anisotropic compressive epitaxial strain offers new routes to control the polar‐texture ...
Elzbieta Gradauskaite, Lilia Huynh, Natascha Gray, Quintin N. Meier, Marta D. Rossell, Morgan Trassin   +5 more
wiley   +1 more source

Construction of New Fractional Repetition Codes from Relative Difference Sets with λ=1

Entropy, 2017
Fractional repetition (FR) codes are a class of distributed storage codes that replicate and distribute information data over several nodes for easy repair, as well as efficient reconstruction.
Young-Sik Kim, Hosung Park, Jong-Seon No
doaj   +1 more source

Multiple solutions for fractional p-Laplace equation with concave-convex nonlinearities

Boundary Value Problems, 2020
In this paper, we investigate the existence of solutions for the fractional p-Laplace equation ( − Δ ) p s u + V ( x ) | u | p − 2 u = h 1 ( x ) | u | q − 2 u + h 2 ( x ) | u | r − 2 u in  R N , $$ (-\Delta)_{p}^{s}u+V(x) \vert u \vert ^{p-2}u=h_{1}(x ...
Qiang Chen, Caisheng Chen, Yanling Shi
doaj   +1 more source