A5101706628- Nonlinear Differential Equations Analysis
- Differential Equations and Boundary Problems
- Fractional Differential Equations Solutions
- Differential Equations and Numerical Methods
- nanoparticles nucleation surface interactions
- Climate change and permafrost
- Matrix Theory and Algorithms
- Radical Photochemical Reactions
- Catalytic C–H Functionalization Methods
- Fixed Point Theorems Analysis
- Advanced Mathematical Modeling in Engineering
- Mathematical and Theoretical Epidemiology and Ecology Models
- Cryospheric studies and observations
- Surface Modification and Superhydrophobicity
- Geotechnical Engineering and Analysis
- Functional Equations Stability Results
- Spectral Theory in Mathematical Physics
- Synthesis and Biological Evaluation
- Vibrio bacteria research studies
- Carbon Nanotubes in Composites
- COVID-19 epidemiological studies
- Stability and Controllability of Differential Equations
- Numerical methods for differential equations
Qufu Normal University
2008-2024
Shandong University of Science and Technology
2019
Cangzhou Normal University
2019
Qingdao University
2015
A convenient and practical metal-free visible-light-promoted method to synthesize 3-oxyalkylated quinoxalin-2(1H)-ones was developed at room temperature. The present transformation could be accomplished through Rose Bengal-catalyzed C–H/C–H cross-dehydrogenative-coupling of quinoxalin-2(H)-ones with simple ethers, providing an efficient operationally access various moderate good yields.
In this paper, by using the properties of Green function, $u_{0}$ -positive operator and Gelfand's formula, some first eigenvalue corresponding to relevant are obtained. Based on these properties, fixed point index nonlinear is calculated explicitly sufficient conditions for existence uniqueness results positive solution established.
In this paper, we investigate an initial value problem for a nonlinear fractional differential equation on infinite interval. The operator is taken in the Hadamard sense and term involves two lower-order derivatives of unknown function. order to establish global existence criteria, first verify that there exists unique positive solution integral based class new inequality. Next, construct locally convex space, which metrizable complete. On applying Schäuder’s fixed point theorem, obtain at...
In this paper, by using the spectral analysis of relevant linear operator and Gelfand’s formula, some properties first eigenvalue a fractional differential equation were obtained; combining fixed point index theorem, sufficient conditions for existence positive solutions are established. An example is given to demonstrate application our main results.
Abstract We consider the existence of solutions for following Hadamard-type fractional differential equations: $$ \textstyle\begin{cases} {}^{H}D^{\alpha }u(t)+q(t)f(t,u(t), {}^{H}D^{\beta _{1}}u(t),{}^{H}D^{ \beta _{2}}u(t))=0,\quad 1< t< +\infty , \\ u(1)=0, -2}u(1)=\int ^{+\infty }_{1}g_{1}(s)u(s)\frac{ds}{s}, -1}u(+\infty )=\int }_{1}g_{2}(s)u(s) \frac{ds}{s}, \end{cases} <mml:math...
This paper investigates global dynamics of an infection age-space structured cholera model. The model describes the vibrio cholerae transmission in human population, where infection-age structure and infectious individuals are incorporated to measure infectivity during different stage disease transmission. is described by reaction–diffusion models involving spatial dispersal vibrios mobility populations same domain Ω ⊂ ℝ n . We first give well-posedness converting a two Volterra integral...
We begin by introducing some function spaces Lcp(R+),Xcp(J) made up of integrable functions with exponent or power weights defined on infinite intervals, and then we investigate the properties Mellin convolution operators mapping these spaces, next, derive new boundedness continuity Hadamard integral Xcp(J) Xp(J). Based this, a class boundary value problems for fractional differential equations conditions disturbance parameters, obtain uniqueness results positive solutions to problem under...
In 1805, Thomas Young was the first to propose an equation (Young's equation) predict value of equilibrium contact angle a liquid on solid.On basis our predecessors, we further clarify that in Young's refers super-nano angle.Whether is applicable nanoscale systems remains open question.Zhu et al. [College Phys. 4 7 (1985)] obtained most simple and convenient approximate formula, known as Zhu-Qian formula equation.Here, using molecular dynamics simulation, test its applicability for...
This research work is dedicated to an investigation for a new kind of boundary value problem nonlinear fractional differential equation supplemented with general condition. A full analysis existence and uniqueness positive solutions respectively proved by Leray–Schauder alternative theorem Boyd–Wong’s contraction principles. Furthermore, we prove the Hyers–Ulam (HU) stability Hyers–Ulam–Rassias (HUR) solutions. An example illustrating validity result also discussed.
The stability problem of the bi-additive functional equation has been studied by Krzysztof Ciepli ski. In this paper, we will investigate on a restricted domain.
This paper deals with the study of existence positive solutions for a class nonlinear higher-order fractional differential equations in which term contains multi-term lower-order derivatives. By reducing order highest derivative, equation is transformed into equation. Then, combining properties left-sided Riemann–Liouville integral operators, we obtain utilizing some weaker conditions. Furthermore, examples are given to demonstrate validity our main results.