Results 51 to 60 of about 1,541 (214)

Existence and uniqueness results for the coupled systems of implicit fractional differential equations with periodic boundary conditions

Advances in Difference Equations, 2018
In this paper, we study the periodic boundary value problems for the coupled systems of fractional implicit differential equations. Basing on the coincidence degree theory, we establish the existence and uniqueness theorems.
Wei Zhang, Wenbin Liu, Tingting Xue
doaj   +1 more source

Thermodynamic Limits to Molecular Doping in Conjugated Polymers: A Perspective on Phase Behavior and Miscibility

Advanced Materials, EarlyView.
Molecular doping of conjugated polymers is fundamentally constrained by thermodynamic phase behavior. This Perspective reframes doping efficiency and stability in terms of miscibility limits, binodals, and solvus boundaries, highlighting the role of effective interaction parameters and charge transfer.
Somayeh Kashani, Justin Neu, Sung‐Joo Kwon, Runqio Song, Zixuan Chen, Tajah Trapier, Paschalis Gkoupidenis, David Ginger, Wei You, Jasper J. Michels, Harald Ade   +10 more
wiley   +1 more source

Nonlinear implicit differential equations of fractional order at resonance

Electronic Journal of Differential Equations, 2016
In this article, we obtain an existence result for periodic solutions to nonlinear implicit fractional differential equations with Caputo fractional derivatives. Our main tools is coincidence degree theory, which was first introduced by Mawhin.
Mouffak Benchohra, Soufyane Bouriah, John R. Graef   +2 more
doaj  

Some novel existence and stability results for a nonlinear implicit fractional differential equation with non-local boundary conditions

Partial Differential Equations in Applied Mathematics
This paper investigates nonlinear implicit fractional differential equations involving Hilfer-Katugampola fractional derivatives. Novel techniques are developed to establish the existence and uniqueness of solutions for the proposed problem using fixed ...
Rahman Ullah Khan, Ioan-Lucian Popa
doaj   +1 more source

Side‐Chain‐Induced Interlayer Slipping in Metalloporphyrin COFs Enables Microenvironment and Spin‐State Regulation for Photocatalytic CO2 Reduction

Advanced Materials, EarlyView.
Alkoxy chain length drives a continuous transition from eclipsed AA to a serrated, slipped AA* configuration over Co‐porphyrin COFs. A moderate slip both contracts the pore channel to enrich CO2 and suppress hydrogen evolution, and enhances collective high‐spin of Co sites, which delivers a record CO production rate with high selectivity.
Jie He, Qingxuan Chen, Minxian Zhang, Wenhao Zhao, Aoni Xu, Jinqiang Zhang, Hongqi Sun, Shaobin Wang, Xiaoguang Duan   +8 more
wiley   +1 more source

Decoding Synergistic Pathways in Bimetallic MOFs for Advanced Oxidation Processes

Advanced Materials, EarlyView.
This review presents a unified framework linking metal pairing and framework design with electronic structure, redox cycling, oxidant activation, reactive‐species generation, and catalytic performance across photocatalytic and oxidant‐based BMOF‐AOPs. The resulting design principles guide the development of hydrolytically stable and efficient BMOFs for
Karim El‐Naggar, Huayang Zhang, Shaobin Wang   +2 more
wiley   +1 more source

Inverse Design of Nanoparticulate Materials

Advanced Materials, EarlyView.
Inverse design shifts nanomaterial development from empirical trial‐and‐error to predictive model‐driven strategies. It can rely on knowledge‐based, data‐based, or hybrid process and property functions. This perspective article provides a practical framework for applying inverse design based on instructive examples. It discusses which modeling approach
Nabi Etienne Traoré, Annika Mauch, Michelle Berthold, Lukas Pflug, Wolfgang Peukert, Nicolas Vogel   +5 more
wiley   +1 more source

Ulam stability and solution behavior of implicit fractional Volterra-Fredholm equations via generalized Hilfer-Katugampola calculus

Boundary Value Problems
This article investigates the existence, uniqueness, and stability of solutions for a class of nonlinear implicit fractional Volterra-Fredholm integro-differential equations involving the Hilfer-Katugampola fractional derivative.
Maha M. Hamood, Abdulrahman A. Sharif, Kirtiwant P. Ghadle   +2 more
doaj   +1 more source

Analysis of coupled systems of implicit impulsive fractional differential equations involving Hadamard derivatives

Advances in Difference Equations, 2019
We present some results on the existence, uniqueness and Hyers–Ulam stability to the solution of an implicit coupled system of impulsive fractional differential equations having Hadamard type fractional derivative.
Usman Riaz, Akbar Zada, Zeeshan Ali, Yujun Cui, Jiafa Xu   +4 more
doaj   +1 more source

Stability analysis for a class of implicit fractional differential equations involving Atangana-Baleanu fractional derivative. [PDF]

Adv Differ Equ, 2021
Asma, Shabbir S, Shah K, Abdeljawad T.
europepmc   +1 more source