This study focused on the existence and uniqueness(EU) stability of solution for a system fractional differential equations(FDEs) via Atangana-Baleanu derivative in sense Caputo (ABC) with φ p -Laplacian operator.Green function G ð (t, s), m < + 1, 4 used converting suggested problem to an integral equation.Guo-Krasnoselskii theorem proving EU problem.The was derived by Hyers-Ulam method(HUS).One illustrative example is manifesting results.

Infection with the hepatitis B virus (HBV) is a global health problem and may be controlled via appropriate treatment. We use fractional models to understand infectious diseases because help us treatments' effects on better than integer‐order models. In this article, we introduce new mathematical model for HBV based fractal–fractional derivative generalized Mittag–Leffler kernel. Firstly, discuss fundamental properties, like equilibria of primary reproduction number. Then, investigate...

In this research, zinc nanoparticles were prepared using pulsed laser ablation in liquids. A Nd+:YAG with wavelength (532 nm) was applied to a pure target immersed deionized water, and the structural optical properties of studied. The behavior UV absorption spectra studied as function pulse number energy. UV-vis showed peaks ultraviolet region visible region, latter being responsible for formation nanoparticles, an increase intensity increasing pulses observed. Scanning electron microscopy...

Resource management for ad hoc grids is challenging due to the participation of heterogeneous, dynamic, autonomous and ephemeral nodes. Different underlying network infrastructures, varying use access policies make resource even more complex. Therefore it required develop such a mechanism that will enable grid self-organize according workload manager. The proposed based on emergent behavior participating nodes adapts with respect changes in environment. Scalability robustness tested by...

Nodes in an ad hoc grid are characterized by heterogeneity, autonomy, and volatility. These characteristics result varying workload of the resource manager grid. Therefore it is required to develop a al-location mechanism that can balance there source manager, hereafter referred as matchmaker, enable self-organize itself. In this paper, we define dynamically promotes demotes nodes matchmaker(s) matchmakers back normal environment. The proposed uses matchmaker basic criterion for promotion...

The growth of the world population’s number leads to increasing food needs. However, plant diseases can decrease production and quality agricultural harvests. Mathematical models are widely used model interpret diseases, showing viruses’ transmission dynamics effects. In this paper, we investigate treatments via Atangana–Baleanu derivative in sense Caputo (ABC). We study existence uniqueness solutions curative preventive treatment fractional for disease. By using Lagrange interpolation, give...

We investigate the appropriate and sufficient conditions for existence uniqueness of a solution coupled system Atangana–Baleanu fractional equations with p-Laplacian operator. also study HU-stability by using Atangana–Baleanu–Caputo (ABC) derivative. To achieve these goals, we convert into an integral equation form help Green functions. The is proven topological degree theory Banach’s fixed point theorem, which analyze solution’s continuity, equicontinuity boundedness. Then, use...

Food security is a basic human right that guarantees humans an adequate amount of nutritious food. However, plant viruses and agricultural pests cause real damage to food sources, leading negative impacts on meeting the obtaining sufficient Understanding infectious disease dynamics can help us design appropriate control prevention strategies. Although cassava among most produced consumed crops greatly contributes security, mosaic causes decrease in photosynthesis reduces yield, resulting...

In this paper, we have developed a theory that describes the propagation of nonlinear helicon waves in layered structure. The reductive perturbation method is used to derive nonlinear-evolution equation. We shown equation has one-soliton solution and been derived. Periodic-boundary conditions expressions relating different quantities layers derived, thus indicating how nonlinear-dispersion relation for medium may be obtained.

In this literature, we are investigating the existence and uniqueness of solutions for a coupled system hybrid differential equations with p-Laplacian operator involving fractional derivatives Caputo Riemann–Liouville various orders. For purpose, proposed problem will be converted into integral by using two Green functions Gσ(ζ,ϑ),Gλ(ζ,ϑ) σ,λ∈(k−1,k], where k≥4. The solution is proved topological degree Leray–Schauder fixed point theorems. Uniqueness obtained help Banach principle. Some...

We investigate the effects of introducing a defect layer in one-dimensional photonic crystal containing single negative material layers on transmission properties. The width is taken to be same or smaller than period structure. Different cases being linear nonlinear and double positive are discussed. It found that only gives rises localized mode within zero-φeff gap this kind also shown important characteristics such as its frequency, FWHM threshold associated bistability can controlled by...

We present a scheme to realize both the zero-n and zero-ϕ eff gap in one-dimensional photonic band structure containing metamaterials. The frequency dispersion of effective electric permittivity magnetic permeability metamaterials adjacent layers one period are represented by Drude model resonant model. chosen is composed alternate double-negative double-positive which exhibit certain range whereas higher it behaves as negative gap. Some properties benefits having same physical system discussed.

Using the Krylov-Bogoliubov-Mitropolskii perturbative technique authors have established a standard nonlinear Schrodinger equation (NLS) to govern propagation of acoustic waves in piezoelectric semiconductor. They included electrostriction and confined themselves one-dimensional analysis. It is found that resultant NLS equation, which has solitary-wave solution, describes modulated behaviour waves.

In this literature, we study the existence and stability of solution boundary value problem fractional differential equations with Φp-Laplacian operator. Our is based on Caputo derivative orders σ, ϵ, where k − 1 < ϵ ≤ k, ≥ 3. By using Schauder fixed point theory properties Green function, some conditions are established which show criterion non-existence for proposed problem. We also investigate adequate Hyers-Ulam solution. Illustrated examples given as an application our result.

SARS-CoV-2 can survive in different environments and remain infectious for several days, which presents challenges to eliminating diseases. It encourages researchers study the effects of SARS CoV-2 on environment. In this paper, we formulate an epidemic model SARS-CoV-2, focuses transmission virus under environmental conditions. Two distributed delays are introduced describe probability exposed infected individuals infection periods based Th positivity boundedness solutions derived. The...