The present article aims to examine the heat and mass distribution in a free convection flow of electrically conducted, generalized Jeffrey nanofluid heated rotatory system. analysis is considered presence thermal radiation transverse magnetic field strength B0. medium porous accepting Darcy’s law. motion fluid due cosine oscillations plate. Nanofluid has been formed by uniform dispersing Silve...

The term “optical thermoelasticity” is used to describe how the optical properties of a material change when it heated or deformed mechanically. issues effective elastic and heat transfer symmetry are given particular focus. This study gives new nonlocal theoretical formulation for thermo-optical that can be thermomechanical waves plasma relate semiconductor materials such as silicon germanium....

In this study, we develop a theory for the nonlocal hybrid boundary value problem fractional integro-differential equations featuring Atangana–Baleanu derivatives. The corresponding integral equation is presented. Then, establish existence results using Dhage’s fixed point theorem sum of three operators. We also offer additional exceptional cases and similar outcomes. order to demonstrate verif...

In this paper, we introduce controlled S-metric-type spaces and give some of their properties examples. Moreover, prove the Banach fixed point theorem a more general in new space. Finally, using results, two applications on Riemann–Liouville fractional integrals Atangana–Baleanu integrals.

In this article, we analysed the approximate solutions of time-fractional Kawahara equation and modified equation, which describe propagation signals in transmission lines formation nonlinear water waves long wavelength region. An efficient technique, namely natural transform decomposition method, is used present study. Fractional derivatives are considered Caputo, Caputo–Fabrizio, Atangana–Bal...

In this article, we solve nonlinear systems of third order KdV Equations and the coupled Burgers equations in one two dimensions with help different methods. The suggested techniques addition Laplace transform Atangana–Baleanu fractional derivative operator are implemented to four systems. obtained results by implementing proposed methods compared exact solution. convergence method is successfu...

In the sense of distributions, derivative Heaviside unit step function $H(t)$ is a generalized Dirac-$\delta$ distribution. If velocity $V(t)$ flat plate impulsive, as $V(t)=H(t)$ (i.e., it suddenly set into motion with at $t=0^+$), then its acceleration $V'(t)=\delta(t)$. The distribution has no point values. However, when forcing term an ODE (in $t$), contributes to solution. recently publish...