Results 41 to 50 of about 103,871 (266)

EXISTENCE AND UNIQUENESS THEOREMS FOR NONLINEAR FRACTIONAL DIFFERENTIAL EQUATIONS

Demonstratio Mathematica, 2000
Summary: The authors study the following Cauchy-type problem for the nonlinear differential equation of fractional order \(\alpha\in \mathbb{C}\), \(\text{Re}(\alpha)> 0\), \[ (D^\alpha_{a+}y)(x)= f[x, y(x)],\quad n-1< \text{Re}(\alpha)\leq n,\quad n= -[-\text{Re}(\alpha)], \] \[ (D^{\alpha- k}_{a+} y)(a+)= b_k,\quad b_k\in \mathbb{C},\quad k= 1,2 ...
Kilbas, A. A., Bonilla, B., Trujillo, J. J.   +2 more
openaire   +2 more sources

Low‐Symmetry Weyl Semimetals: A Path to Ideal Topological States

Advanced Functional Materials, EarlyView.
This study presents a theoretical framework for realizing ideal Weyl semimetals, where Weyl nodes are well‐isolated at the Fermi level. The approach is exemplified in the low‐symmetry material Cu2SnSe3, which exhibits tunable topological phases, current‐induced orbital magnetization, and a strong circular photogalvanic effect, making it a promising ...
Darius‐Alexandru Deaconu, Varun Shah, Rodion Vladimirovich Belosludov, Mohammad Saeed Bahramy   +3 more
wiley   +1 more source

On Cauchy problems for fuzzy differential equations

International Journal of Mathematics and Mathematical Sciences, 2004
Existence and uniqueness theorems are proved for Cauchy problems of second-order fuzzy differential equations.
D. N. Georgiou, I. E. Kougias
doaj   +1 more source

On State-Dependent Delay Intuitionistic Fuzzy Partial Functional Differential Equations with Integral Boundary Conditions

Journal of Mathematics, 2021
This paper addresses the issue of the existence and uniqueness of intuitionistic fuzzy solutions for some classes of partial functional differential equations with state-dependent delay in a new weighted complete metric space.
Bouchra Ben Amma, Said Melliani, Lalla Saadia Chadli   +2 more
doaj   +1 more source

Wavelength‐Dependent Differential Amplification of Raman Scattering by Chiral Gold Nanorods for Multiplexed Encoding

Advanced Functional Materials, EarlyView.
The SERS spectra of reporter molecules adsorbed on chiral gold nanorods depends on the handedness of circularly polarized light (CPL‐SERS). The bisignate plasmonic CD spectra of chiral nanorods provides wavelength‐dependent CPL‐SERS. Selective discrimination of chiral nanorod handedness and different Raman reporters allow highly sensitive codification ...
Andrés Serrano‐Freijeiro, Carlos Renero‐Lecuna, Manuel Obelleiro‐Liz, Víctor F. Martín, Diptesh Dey, José M. Taboada, George C. Schatz, Isabel Pastoriza‐Santos, Jorge Pérez‐Juste, Luis M. Liz‐Marzán   +9 more
wiley   +1 more source

Positive solutions for nonlinear Hadamard fractional differential equations with integral boundary conditions

AIMS Mathematics, 2019
In this paper, we prove the existence and uniqueness of a positive solution of nonlinear Hadamard fractional differential equations with integral boundary conditions. In the process we employ the Schauder and Banach fixed point theorems and the method of
Abdelouaheb Ardjouni
doaj   +1 more source

Some fixed point theorems for mappings satisfying rational inequality in modular metric spaces with applications

Heliyon, 2020
We prove some theorems on the existence and uniqueness of fixed point for Reich-type contraction mappings and Geraghty-type mappings satisfying rational inequalities in modular metric spaces.
Godwin Amechi Okeke, Daniel Francis, Manuel de la Sen   +2 more
doaj   +1 more source

Mechanical Properties of Architected Polymer Lattice Materials: A Comparative Study of Additive Manufacturing and CAD Using FEM and µ‐CT

Advanced Functional Materials, EarlyView.
This study examines how pore shape and manufacturing‐induced deviations affect the mechanical properties of 3D‐printed lattice materials with constant porosity. Combining µ‐CT analysis, FEM, and compression testing, the authors show that structural imperfections reduce stiffness and strength, while bulk material inhomogeneities probably enhance ...
Oliver Walker, Thierry Roland, Damien Favier, Antoine Egele, Michael Heymann, Cosima Stubenrauch   +5 more
wiley   +1 more source

Boundary value problem for Caputo-Hadamard fractional differential equations [PDF]

Surveys in Mathematics and its Applications, 2017
The aim of this work is to study the existence and uniqueness solutions for boundary value problem of nonlinear fractional differential equations with Caputo-Hadamard derivative in bounded domain.
Yacine Arioua , Nouredine Benhamidouche
doaj  

An Exact Perturbative Existence and Uniqueness Theorem

, 2022
Significant changes: the paper has been corrected and made much shorter, simpler, and more streamlined.
openaire   +2 more sources