The present study investigates the unsteady flow of a non-Newtonian Casson nanofluid in terms its thermal transport as well entropy. impact slip condition and solar thremal convection regarding has been investigated thoroughly. To behaviors transport, is subjected to slippery surface that under convective heat. modeled equations heat transfer are abridged by assuming boundary layer along with Roseland approximations. Partial differential (PDEs) used formulate governing defining problem....

Due to the highly competitive marketing economy, for different kinds of products' related suppliers confer various incentives their respective retailers with certain terms and conditions. Even though may require advance payments before delivering products, they incentivize scheme by offering instant price-discounts, maybe some other additional benefits we have constructed an inventory-model consisting two-warehouses mathematically deteriorating products. In this proposed model, offer...

The (2 + 1)-dimensional Konopelchenko-Dubrovsky (KD) equation and the Landau-Ginzburg-Higgs (LGH) describe nonlinear waves with weak scattering long-range interactions between tropical, mid-latitude troposphere, interaction of equatorial Rossby etc. This article studies KD LGH models stated earlier using generalized Kudryashov technique. We obtained a variety analytical solutions including unknown parameters. figures some are sketched certain derived results demonstrate efficiency...

Heat transmission is inevitable in industrial and manufacturing processes. The hybrid nanofluid with its advanced thermal exponent due to the two-part nanoparticle which helps boost transfer capacity of standard nanofluids achieve it. flow transference properties such kind via a slippery surface has investigated this study. pore mediums, heat source, viscous dissipation, conducting variants, radiative impacts were explored. controlled equations are solved using finite difference numerical...

In this work, the finite element method is employed to simulate heat transfer and irreversibilities in a mixed convection two-phase flow through wavy enclosure filled with water-alumina nanoliquid contains rotating solid cylinder presence of uniform magnetic field. Impact variations undulations number (0 ≤ N 5), Ra (10

The model based upon the Poiseiulle flow of hybrid nanofluid within a micro channel for inclusion varying viscosity and thermal conductivity. suggested is designed use variable properties embedding with metal oxide nanoparticles such as Cu Al2O3 submerged in base fluids i.e. water Ethylene glycol (EG). For preparation fluid contains combination 20% 80% EG. In addition to that, interpretation entropy generation due irreversibility process system conducted. suitable choice similarity...

A mathematical model describing the HIV/AIDS transmission dynamics in existence of an aware community using fractional differential operator having Mittag–Leffler kernel is presented and investigated this paper. By fixed point theorem, uniqueness conditions are obtained. We have used a novel technique known as iterative Laplace transform approach to obtain approximate solution based on Atagana-Baleanu operator.We investigate necessary for disease control order determine role unaware...

Gross Domestic Product (GDP) is one of the key macroeconomic aggregates that measures added value produced in a country during period. In contemporary world, uncertainty, among others due to COVID-19 pandemic and conflict Ukraine, GDP prediction remain important goals public policy making. This study aims predict Benin's through unidimensional statistical approach machine learning techniques. For this purpose, data were collected from Central Bank West African States (BCEAO) website 1960...

We deal with the Wick-type stochastic fractional Korteweg de–Vries (KdV) equation conformable derivatives. With aid of Exp-function method, white noise theory, and Hermite transform, we produce a novel set exact soliton periodic wave solutions to KdV help inverse get Eventually, by an application example, show how can be given as Brownian motion functional solutions.

Abstract In this paper we consider the Cauchy problem for stochastic modified Kawahara equation, which is a fifth-order shallow water wave equation. We prove local well-posedness data in $H^{s}(\mathbb{R})$ <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML"><mml:msup><mml:mi>H</mml:mi><mml:mi>s</mml:mi></mml:msup><mml:mo>(</mml:mo><mml:mi>R</mml:mi><mml:mo>)</mml:mo></mml:math> , $s\geq -1/4$...

Using progressive Type-II censoring data, this study deals with the estimation of parameters Unit-Weibull distribution using two classical methods and Bayesian method. In methods, maximum likelihood product spacing (MPS) are used to obtain model by utilizing Newton–Raphson On basis observed Fisher information matrix, approximate confidence intervals for unknown obtained. addition, bootstrap model. estimation, we have considered both function as well estimate parameters. Bayes estimators...

&lt;abstract&gt;&lt;p&gt;In this article, we considered the nonlinear time-fractional Jaulent–Miodek model (FJMM), which is applied to modeling many applications in basic sciences and engineering, especially physical phenomena such as plasma physics, fluid dynamics, electromagnetic waves media, other applications. The Caputo fractional derivative (CFD) was express operator mathematical formalism of FJMM. We implemented modified generalized Mittag-Leffler method (MGMLFM) show analytical...

This paper investigates the asymptotic and oscillatory properties of a distinctive class third-order linear differential equations characterized by multiple delays in noncanonical case. Employing comparative method Riccati method, we introduce novel rigorous criteria to discern whether solutions examined equation exhibit behavior or tend toward zero. Our study contributes existing literature presenting theories that extend refine understanding these specified context. To validate our...

The stochastic dynamical ϕ4 equation is obtained by adding a multiplicative noise term to the classical equation. represents random fluctuations that are present in system and modeled Wiener process. powerful tool for modeling behavior of complex systems exhibit randomness nonlinearity. It has wide range applications physics, chemistry, biology, finance. Our goal this paper use new extended direct algebraic method find traveling wave solutions We explore trigonometric, hyperbolic, rational...

&lt;p&gt;Some new reverse versions of Hilbert-type inequalities are studied in this paper. The results established by applying the time scale Hölder's inequality, Jensen's chain rule on scales, and mean inequality. As applications, some particular (when $ \mathbb{T = N} R} $) considered. Our provide estimates for these types improve those recently published literature.&lt;/p&gt;

In this article, we prove some new fractional dynamic inequalities on time scales via conformable calculus. By using chain rule and Hölder’s inequality timescales establish the main results. When α = 1 obtain well-known time-scale due to Hardy, Copson, Bennett Leindler inequalities.

The current analysis deals with radiative aspects of magnetohydrodynamic boundary layer flow heat mass transfer features on electrically conductive Williamson nanofluid by a stretching surface. impact variable thickness and thermal conductivity characteristics in view melting are examined. mathematical formulation is based theory pioneered Prandtl. idea yields constitutive laws partial differential equations (PDEs) made dimensionless then reduce to ordinary nonlinear (ODEs) versus...

This paper provides novel generalizations by considering the generalized conformable fractional integrals for reverse Copson’s type inequalities on time scales. The main results will be proved using a general algebraic inequality, chain rule, Hölder’s and integration parts Our investigations unify extend some continuous their corresponding discrete analogues. In addition, when α = 1, we obtain well-known scale due to Hardy, Copson, Bennett, Leindler inequalities.

Since standard distributions do not fundamentally have an acceptable fit to all types of data sets, it is necessary construct extensions increase their capability in modeling. As a result this shortage old ones, we proposed novel generator based on the trigonometric function (Arctan). We selected Frechet distribution as baseline for generator's applicability. This produces "new Arctan distribution" (NATFD). The fundamental properties been taken into consideration. Estimating given...

&lt;p&gt;This study explores the nonlinear Peyrard-Bishop DNA dynamic model, a evolution equation that describes behavior of molecules by considering hydrogen bonds between base pairs and stacking interactions adjacent pairs. The primary objective is to derive analytical solutions this model using Khater Ⅲ improved Kudryashov methods. Subsequently, stability these analyzed through Hamiltonian system characterization. pivotal in biophysics, offering insights into dynamics their responses...

In this paper, we investigate the Wick-type stochastic (3+1)-dimensional modified Benjamin–Bona–Mahony (BBM) equations. We present a generalised version of tanh–coth method. Using generalised, method, white noise theory, and Hermite transform, produce new set exact travelling wave solutions for BBM This includes exponential, hyperbolic, trigonometric types. With help inverse obtained Eventually, by application example, show how can be given as functional solutions.

This paper is concerned with deriving some new dynamic Hilbert-type inequalities on time scales. The basic idea in proving the results using algebraic inequalities, Hölder’s inequality and Jensen’s inequality, As a special case of our results, we will obtain integrals their corresponding discrete Hilbert’s type.

<abstract> The quantum calculus has emerged as a connection between mathematics and physics. It wide applications, particularly in mechanics, analytic number theory, combinatorial analysis, operation theory etc. $ q $-calculus, which serves powerful tool to model computing, drawn attention of many researchers the field special functions result $-analogues certain functions, especially hypergeometric function, 1-variable Hermite polynomials, Appell polynomials etc., are introduced studied. In...