Abstract This research paper investigates the SIZR model related to Zombie infection outbreaks according a time-dependent rate. The proposed is extended fractional order using different derivative operators. solution of by numerical schemes, briefed. Graphical representations provide us with better understanding this mathematical model. Lastly, as observed in movies, we conclude that infections can generate destruction and collapse human development it paramount importance deal Zombies early...

Estimates for second and third Maclaurin coefficients of certain bi-univalent functions in the open unit disk defined by convolution are determined. Certain special cases also indicated.

In our research work, we suggest the modified minimal model of fractional order and analyze it using homotopy decomposition method (HDM). The is quite a useful mathematical which describes behavior glucose-insulin metabolism. original was given in 80s has been updated over different period. this model, add one-factor diet plays an important role blood-glucose analysis. We obtained numerical results by method. HDM extremely useful, significant, very simple. also discuss existence uniqueness model.

In this paper, a deep artificial neural network technique is proposed to solve the coupled system of Emden-Fowler equations. A vectorized form algorithm developed. Implementation and simulation performed using Python code. This implemented in various numerical examples, simulations are conducted. We have shown graphically how accurately method works. comparison solution exact error tables. also conducted comparative analysis our with alternative methods, including Bernstein collocation...

Numerous novel concepts in fractional mathematics have been created to provide numerical models for a variety of real-world, engineering, and scientific challenges because the kernel's memory non-local effects. In this post, we looked at deadly illness known as rabies. For our analysis, employed Atangana–Baleanu derivative Caputo sense. Additionally, mathematical answer was obtained by applying Laplace transform. Our approach is distinct, illustrated vital role immunizations play limiting...

The paper aims to extend the model of Ebola virus in bats mathematical fractional order using Atangana- Baleanu derivative operator. A detailed proof for existence, uniqueness, and stability solution is presented. numerical approach used find stated results are represented graphically.

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 paper, we solve the [Formula: see text]-Generalized KdV equation by local fractional homotopy analysis method (LFHAM). Further, analyze approximate solution in form of non-differentiable generalized functions defined on Cantor sets. Some examples and special cases main results are also discussed.

The world is grappled with an unprecedented challenges due to Corona virus. We are all battling this epidemic together, but we have not been able defeat yet. A new variant of virus, named ‘Omicron’ spreading these days. fractional differential equations providing us better tools study the mathematical model memory effects. In paper, will consider extended SER quarantined and vaccinated compartment speculate Omicron variant. This Susceptible Exposed Infected Recovered involves that associate...

This paper proposes an artificial neural network (ANN) architecture for solving nonlinear fractional differential equations. The proposed ANN algorithm is based on a truncated power series expansion to substitute the unknown functions in equations this approach. Then, set of algebraic resolved using technique iterative minimization process. Finally, numerical examples are provided demonstrate usefulness architectures. results verify that suggested achieves high accuracy and good stability.

In this paper, we consider the time-fractional two-mode coupled Burgers equation with Caputo fractional derivative. A modified homotopy perturbation method Laplace transform (He-Laplace method) is applied to find its approximate analytical solution. The decompose into a series of linear equations, which can be effectively and easily solved by transform. solution process illustrated step step, results show that present extremely powerful for differential equations.

In this paper, a modified method is used to approximate the solution time-fractional n-dimensional Navier–Stokes equation. The Variational Iteration Transform Method, which implemented in equation whose fractional order derivative described Caputo sense. proposed method's findings are presented and examined using figures. It demonstrated that efficient, dependable, simple apply various science engineering applications.

In this paper, we extend the Burger's equation to time-fractional based on different derivative operators as Yang-Abdel-Cattani, Atangana-Baleanu, Caputo-Fabrizio, and Liouville-Caputo. The analytical solutions for these are determined by employing δ-Homotopy Analysis Transform Method. Further, study comparison of obtained from numerically graphically.

The whole world is suffering from a pandemic virus known as COVID-19 nowadays. This also novel corona virus. There are various statements coming out regarding its generation but till now one thing that origin place seems to be lab somewhere in Wuhan city of China. It said off and on the record covid-19 came into existence near November 2019 record, WHO office (China) reported 31st December an unknown detected city. On 7th January 2020, Chinese authorities announced about this At initial...

In this article, we investigate the solution of fractional multidimensional Navier–Stokes equation based on Caputo derivative operator. The behavior regarding system using Sumudu transform approach is discussed analytically and further graphically.

The integral-order derivative is not suitable where infinite variances are expected, and the fractional manages to consider effects with more precision; therefore, we considered timefractional Emden–Fowler-type equations solved them using rational homotopy perturbation method (RHPM). RHPM based on two power series in form. existence uniqueness of equation proved Banach fixed-point theorem. Furthermore, approximate term h(z) a polynomial degree then solve system proposed obtain an symmetric...

In this study we have proposed the SIAQR model with time-dependent infection rate. The model's well-posedness is demonstrated, and then extended to fractional mathematical by employing Caputo-Fabrizio derivative operator. We also used Lipschitz condition linear growth determine conditions under which has a unique solution. numerical solutions are presented. Furthermore, using graphical representations will see how number of infected, recovered individuals vary as order varies.

In the present paper, we use analytical techniques to solve fractional nonlinear differential equations systems that arise in Bergman’s minimal model, used describe blood glucose and insulin metabolism, after intravenous tolerance testing. We also discuss stability uniqueness of solution.

Here we investigate a majorization problem involving starlike meromorphic functions of complex order belonging to certain subclass univalent defined by an integral operator introduced recently Lashin.

In the paper, (n+1)-dimensional fractional M-Burgers equation with a force term in sense of Caputo derivative is considered. We solve this using homotopy perturbation method (HPM) and find its approximate analytical solution. illustrate some concrete examples. also provide graphical representation solutions. This paper extends known results obtained by Sripacharasakullert et al. (2019).

This paper presents a new method to solve the local fractional partial differential equations (LFPDEs) describing fractal vehicular traffic flow. Firstly, existence and uniqueness of solutions LFPDEs were proved then two schemes known as basic (BM) modified variational iteration (LFVIM) developed PDEs. Multiple studies have been reported in literature these problems using iterative methods which are time‐consuming prone errors. For linear problems, was found highly accurate computationally...

In this paper, we will study about Fractional-order partial differential equations in Mathematical Science and introduce analyse fractional calculus with an integral operator that contains the Caputo- Fabrizio's fractional-order derivative. The advanced method is appropriate union of new transform named as 'Mohand transform' homotopy perturbation method. Some numerical examples are used to communicate generality clarity proposed method.We also find analytical solution linear non-linear Klein...

This paper presents a restricted SIR mathematical model to analyze the evolution of contagious infectious disease outbreak (COVID-19) using available data.The new focuses on two main concepts: first, it can present multiple waves disease, and second, analyzes how far an infection be eradicated with help vaccination.The stability analysis equilibrium points for suggested is initially investigated by identifying matching examining their stability.The basic reproduction number calculated,...