In this paper, we propose the approximate solution of fractional diffusion equation described by a non-singular derivative. We use Atangana-Baleanu-Caputo derivative in our studies. The integral balance methods as heat method introduced Goodman and double developed Hristov have been used for getting solution. existence uniqueness provided. analyze impact operator process. represent graphically ...

In this study, the suggested q-homotopy analysis transform method is used to compute a numerical solution of fractional parabolic equation, and obtained in fast convergent series. The leverage efficacy technique are demonstrated by test examples provided. results that were acquired graphically displayed. series sizable admissible domain handled an extreme way current method. It provides us with...

In this study, we solve the fractional advection–dispersion equation (FADE) by applying Laplace transform decomposition method (LTDM) and variational iteration (VITM). The Atangana–Baleanu (AB) sense is used to describe derivative. This utilized determine solute transport in groundwater soils. FADE converted into a system of non-linear algebraic equations whose solution leads approximate for us...

Analytical solution of thermo diffusion effect on magnetohydrodynamics flow fractionalized Cassonfluid over a vertical plate immersed in porous media is obtained. Moreover, the model problem, additional effects, like chemical reaction, heat source/sink, and thermal radiation are also considered.The solved by three approaches, namely, Atangana-Baleanu, Caputo-Fabrizio, Caputo fractionalderivativ...

In recent years Atangana and Baleanu proposed a new fractional derivative with non-singular non-local kernel, this paper formulate fragmentary request numerical TB model AtanganaBaleanu (AB derivative). We figured the basic reproduction number ( R0 ) assessment of boundary dependent on genuine information Khyber Pakhtunkhwa Pakistan, Initially we present fundamental properties model, existence ...

In this paper, we develop the theory of nonlinear hybrid fractional differential equations involving Atangana-Baleanu-Caputo (ABC) derivative. We construct equivalent integral equation and establish existence results through it. Further, build up inequalities for ABC-hybrid use it to examine uniqueness, a maximal minimal solution comparison results.

In the current paper, we consider multi-derivative nonlinear fractional differential equations involving Atangana-Baleanu derivative. We investigate fundamental results about existence, uniqueness, boundedness and dependence of solution on various data. The analysis is based a integral operator due to T. R. Prabhakar generalized Mittag-Leffler function, Krasnoselskii’s fixed point theorem Gronw...

In this article, we have investigated the fractional-order Burgers equation via Natural decomposition method with nonsingular kernel derivatives. The two types of fractional derivatives are used in article Caputo–Fabrizio and Atangana–Baleanu derivative. We employed transform on followed by inverse transform, to achieve result equations. To validate method, considered a examples compared exact ...

It is possible to produce mobile phone worms, which are computer viruses with the ability command running of cell phones by taking advantage their flaws, be transmitted from one device other increasing numbers. In our day, services gain currency for circulating these malignant worms SMS. The distinctions computers devices render existing propagation models unable start operating instantaneously...