<abstract><p>In this paper, we find the solution of time-fractional Newell-Whitehead-Segel equation with help two different methods. The newell-Whitehead-Segel plays an efficient role in nonlinear systems, describing stripe patterns' appearance two-dimensional systems. Four case study problems are solved by proposed methods aid Antagana-Baleanu fractional derivative operator and Laplace transform. numerical results obtained suggested techniques compared exact solution. To show...

This study aims to investigate the effect of fractional order on a novel cancer treatment model in Caputo sense with chemotherapy and stem cell therapy. The existence positive solutions, equilibria, linear stability are examined. Ulam-Hyers system is investigated. An optimal schedule developed obtain combined therapy model. analytical results verified through numerical examples. It has been observed that effector cells alone cannot eradicate tumor effectively. However, presence optimally...

Abstract In biological systems, the MHD boundary layer bioconvection flow through permeable surface has several applications, including electronic gadgets, heating building thermal insulation, geological renewable energy, electromagnetism and nuclear waste. The caused by hydromagnetic of a special form water-based nanoliquid motile microorganisms nanoparticles across porous upright moving is investigated in this report. combination microbes causes nanofluid studied under cumulative impact...

We present a theory for the interfacial wetting phase behavior of binary liquid mixtures on rigid solid substrates, applicable to both miscible and immiscible mixtures. In particular, we calculate binding potential as function adsorptions, i.e., excess amounts each two liquids at substrate. The fully describes corresponding thermodynamics. Our approach is based classical density functional theory. Binary can exhibit complex bulk behavior, including liquid-liquid vapor-liquid separation,...

Many years have passed since the model that outlined connection between sugar and insulin was developed, a great deal of study investigation has subsequently been done on it. In this work, we investigated disparities in Modified Bergman's glucose–insulin Yang–Abdel–Cattani derivative Caputo–Fabrizio derivative. With our improvements, prior now includes diet, which is crucial component blood glucose model. Based results, new outperforms previous one terms accuracy. To highlight significance...

In this study, we employed the M-truncated fractional singular manifold meth?od to analytically address (2+1)-dimensional Burgers equation. This approach involves reformulating original differen?tial equation into a more tractable form through introduction of manifold. transformation simplifies problem and often leads analytical solutions. We derive general solution expressed in terms arbitrary functions, which enables us accommodate variations system parameters or initial condi?tions....

Several types of solitary wave solutions (3 + 1)-dimensional nonlinear extended and modified quantum Zakharov–Kuznetsov equations are established successfully via the implantation three mathematical methods. The concerned models have many fruitful applications to describe waves in electron–positron–ion magnetoplasmas weakly ion-acoustic plasma. derived results MEAEM method, ESE F-expansion been retrieved will be expedient future illuminate collaboration between lower waves. For physical...

We propose in this study a combined expression mainly based on the double transformation of Laplace and Sumudu (DLST), by developing some results associated with proposed transformation. can apply to certain functions achieve interesting which be used solve classes fractional partial differential equations (FPDE). The numerical show that lead an exact solution linear FPDEs. Laplace-Sumudu transform; Fractional equations.

<abstract><p>In this article, we prove some results on existence and uniqueness of fixed points for an almost $ \phi $-contraction mapping defined a metric space endowed with amorphous relation. Our generalize improve several well known point theorems the existing literature. To substantiate credibility our results, construct examples. We also apply to determine unique solution boundary value problem associated nonlinear elastic beam equations.</p></abstract>

We have investigated wave solutions of the Predator–Prey (PP) model with fractional derivative order by novel three modified mathematical methods help Mathematica platform. The derived are in form distinct functions such as trigonometric, hyperbolic, exponential and rational functional. For physical phenomena model, some plotted 2-dimensional 3-dimensional inserting specific values to attached parameters under sufficient condition on each solution. Hence, proposed schemes enormously superbly...

Abstract This paper analyzes the two-dimensional chlorine-transport model in pipes. The studied is form of a second-order partial differential equation with set boundary conditions. Obtaining exact solution for current challenge due to nature involved conditions, especially, when applying Laplace transform. However, such difficulties are solved via implementing method residues. obtained terms Bessel functions. expression dimensionless cup-mixing average concentration also derived...

The heat and mass transfer in magnetized non-Newtonian Williamson nanofluid flow, saturated by gyrotactic microorganisms due to a stretched sheet, is debated here. rough sheet subjected uniform flux, its velocity proportional distance from the slit. Nanofluid viscosity thermal conductivity are temperature-dependent, but microbe diffusivity Brownian motion concentration-dependent. Through similarity transformation, system of modeled equations reduced dimensionless differential equations. We...

The reasons why the model of non-Newtonian nanofluids is more applicable than other models, particularly those that take porous medium into account, are studied here. Thus, we looked at heat and mass transfer features a Williamson nanofluid flow due to stretched sheet under impact chemical reactions, slip velocity, viscous dissipation, magnetic field in this article. main focus on situation which properties nanofluid, such as viscosity thermal conductivity, change with temperature. After...

Time dilation (TD) is a principal concept in the special theory of relativity (STR). The Einstein TD formula relation between proper time t0 measured moving frame reference with velocity v and dilated t by stationary observer. In this paper, an integral approach firstly presented to rededuce formula. Then, introduced examined view fractional calculus (FC) means Caputo derivative definition (CFD). contrast explicit standard formula, it found that (FTD) governed transcendental equation terms...

In this paper, a novel technique called the Elzaki decomposition method has been using to solve fractional-order multi-dimensional dispersive partial differential equations. results for both integer and fractional orders are achieved in series form, providing higher convergence rate suggested technique. Illustrative problems defined confirm validity of current It is also researched that conclusions convergent an integer-order result. Moreover, proposed compared with exact solution problems,...

Due to the numerous applications of Nizhnik-Novikov-Veselov system (NNVS) in fluid mechanics, thus, current investigation is focused on studying fractional form this model reveal ambiguity around many nonlinear phenomena that arise different medias. Accordingly, we aim derive several families symmetric solitons and traveling wave solutions (2 + 1)-dimensional asymmetric NNVS (FANNVS), defined conformable derivatives’ sense. For purpose, a groundbreaking analytical technique known as modified...

<abstract><p>The COVID-19 pandemic still gains the attention of many researchers worldwide. Over past few months, China faced a new wave this which increases risk its spread to rest world. Therefore, there has become an urgent demand know expected behavior in coming period. In regard, are mathematical models from we may obtain accurate predictions about pandemic. Such target be achieved via updating taking into account memory effect fractional calculus. This paper generalizes...

We present a theory for the interfacial wetting phase behaviour of binary liquid mixtures on rigid solid substrates, applicable to both miscible and immiscible mixtures. In particular, we calculate binding potential as function adsorptions, i.e. excess amounts each two liquids at substrate. The fully describes corresponding thermodynamics. Our approach is based classical density functional theory. Binary can exhibit complex bulk behaviour, including liquid-liquid vapour-liquid separation,...

In this paper, we introduce a modified method which is constructed by mixing the residual power series and Elzaki transformation. Precisely, provide details of implementing suggested technique to investigate fractional-order nonlinear models. Second, test efficiency validity on Navier-Stokes Then, apply new analyze system Finally, 3-D graphical plots support impact fractional derivative acting behavior obtained profile solutions

Motivated by the wide-spread of both integer and fractional third-order dispersive Korteweg-de Vries (KdV) equations in explaining many nonlinear phenomena a plasma other fluid models, thus, this article, we constructed system for calculating an analytical solution to fuzzy KdV problems. We implemented Shehu transformation iterative technique under Atangana-Baleanu derivative. The achieved series result was contacted determined analytic value suggested models. For confirmation our system,...