The flow of an electroconductive incompressible ternary hybrid nanofluid with heat conduction in a boundary layer including metallic nanoparticles (NPs) over extended cylindrical magnetic induction effects is reported this research. has been synthesized the dispersion titanium dioxide, cobalt ferrite, and magnesium oxide NPs base fluid water. For range economical biological applications, computational model designed to augment mass energy conveyance rate promote performance efficiency...

The existing article explores the attributes of convection and Joule heating across a magnetohydrodynamics two-dimensional stagnation point flow nano liquid depending on permeable curved stretching/shrinking surface mass suction. Applying non-dimensional variables, basic model partial differential equations (PDEs) is converted to dimensionless ordinary (ODEs), which are solved through bvp4c method (bult-in function in MATLAB). Multiple graphical results have been examined observe effect...

The computational solutions for the fractional mathematical system form of HIV-1 infection CD4+ T-cells are investigated by employing three recent analytical schemes along Atangana–Baleanu (ABF) derivative. This model is affected antiviral drug therapy, making it an accurate to predict evolution dynamic population systems involving virus particles. modified Khater (MKhat), sech–tanh expansion (STE), extended simplest equation (ESE) methods handled and obtained many novel solutions....

The mixed convection flow of carbon nanotubes due to porous vertical plate has been presented via fractional simulations. single and multi-wall are used observe the thermal aspect hybrid nanofluid model. blood is treated as base material. shear thinning thickening predicted by using Casson fluid comparative observations with (MWCNTs) single-wall (SWCNTs) reported. Prabhakar derivative simulations performed analyze physical pattern problem. Laplace transformations implemented integrating...

This manuscript uses the generalized Khater (GK) method and trigonometric quintic B-spline (TQBS) scheme to study calculations approximate solutions of complex nonlinear Fokas–Lenells (FL) equations. model describes propagation short pulses in optical fibers. Many novel computing have been obtained. The absolute, real, imaginary values some are plotted two three-dimensional density graphs explain dynamic behavior fiber. use constructed analytical evaluate initial boundary conditions allows...

Recently, home automation system has getting significant attention because of the fast and advanced technology, making daily living more convenient. Almost everything been digitalized automated. The development will become easier popular use Internet Things (IoT). This paper described various interconnection systems actuators, sensors to enable multiple implementations. is known as HAS (Home system). It operates by connecting robust Application Programming Interface (API), which key a...

<abstract> In this manuscript, two recent numerical schemes (the trigonometric quintic and exponential cubic B-spline schemes) are employed for evaluating the approximate solutions of nonlinear Klein-Gordon-Zakharov model. This model describes interaction between Langmuir wave ion-acoustic in a high-frequency plasma. The initial boundary conditions constructed via novel general computational scheme. ^{[<xref ref-type="bibr" rid="b1">1</xref>]} has used five different schemes, such as...

The analytical and semi-analytical solutions to the quadratic–cubic fractional nonlinear Schrödinger equation are discussed in this research article. model’s formula is transformed into an integer-order model by using a new operator. theoretical computational approaches can now be applied models, thanks transition. application of two separate computing schemes yields large number novel strategies. obtained secure original boundary conditions, which used create Adomian decomposition process,...

Abstract The numerical wave solutions of two fractional biomathematical and statistical physics models (the Kolmogorov—Petrovskii - Piskunov (KPP) equation the (2 + 1)-dimensional Zoomeron (Z) equation) are investigated in this manuscript. Many novel analytical different mathematical formulations such as trigonometric, hyperbolic, exponential, so on can be constructed using generalized Riccati—expansion scheme Caputo—Fabrizio derivative. nonlinear evolution is converted into an ordinary...

Abstract The impact of Marangoni convection has noteworthy applications in nanotechnology, atomic reactor, silicon wafers, semiconductor processing, soap films, materials sciences, thin-film stretching, crystal growth, and melting welding processes. On the other hand, thermophoretic particle deposition (TPD) a significant application building ventilation systems, crushed coal burners, thermal exchangers, air cleaners. Inspired by these applications, present work mainly concentrates on flow...

In this paper, we define the classes $F(p,q,s)$ of quaternion-valued functions, then characterize quaternion Bloch functions by in unit ball $\mathbb{R}^3$. Further, some important basic properties these are also considered.

The aim of this paper is twofold. First, we introduce the concept quaternion metric spaces which generalizes both real and complex spaces. Further, establish some fixed point theorems in setting. Secondly, prove a theorem normal cone for four self-maps satisfying general contraction condition.

In this article we give the definition of Bp, q spaces hyperholomorphic functions. Then, characterize hypercomplex Bloch space by these spaces. One main results is a general Besov-type characterization for quaternionic functions that generalizes Stroethoff theorem. Furthermore, some important basic properties are also considered.

Flow around circular cylinder has been extensively studied by researchers for several decades due to its wide range of engineering applications such as in heat exchangers, marine cables, high rise building, chimneys, and offshore structures. The lack clear understanding the unsteady flow dynamics wake computational cost are still an area interest amongst researchers. aim current study is investigate effect variation spanwise length grid resolution direction on recirculation length,...

Abstract The main theme of this article is to obtain characterizations B p,q -functions by the coefficients certain lacunary series expansions in quaternionic sense. Moreover, we consider a scale weighted spaces quaternion-valued functions three real variables. This generalizes idea Besov space complex function theory. Finally, prove that inclusions from are strict inclusions. Keywords: quaternion analysis spacesHadamard gapsAMS Subject Classifications: 46E1530G35 Acknowledgements author...

Abstract In this paper, we give the definitions of weighted α-Besov-type spaces and α-Bloch quaternion-valued functions, then obtain characterizations these quaternion by spaces. Relations between Q p norms α-Besov are also considered. The role ρℬα sequences in securing non-Bloch functions is highlighted sense. Keywords: Quaternionic analysisQuaternion B α q spacesAMS Subject Classification: 46E1530G35 ACKNOWLEDGMENTS author would like to thank referees for their careful reading manuscript...

Abstract The goal of this article is two-fold. First, we consider a class hyperholomorphic functions, the so called B p, q (G) space in ℝ3. Then, use to characterize α-Bloch space. Second, obtain characterizations weighted (G)-functions by coefficients certain lacunary series expansions Clifford Analysis. Keywords: spaceHyperholomorphic functionsLacunary spacesAMS Subject Classification: 46E1530G35

We prove an interesting result on convergence of positive solutions to a nonlinear second‐order difference equation interest some two‐periodic the equation, improving previous result, and leave open problem. also present method for unified treatment closely related equations, which appear from time in literature.