In this article, we study the fractional SIR epidemic model with Atangana–Baleanu–Caputo operator. We explore properties and applicability of ZZ transformation on operator as transform derivative. This is an application two power methods. obtain a special solution homotopy perturbation method (HPM) combined scheme; then present problem existence solution, also apply new to solving ABC The solut...

Abstract A mathematical model for the dynamic systems of $\mathbb{SMA}$ SMA involving $\mathbb{ABC}$ ABC -fractional derivative is considered in this manuscript. We examine basic reproduction number and analyze stability equilibrium points. prove theoretical results existence Ulam’s solutions...

Abstract In this work, a coupled system of time-fractional modified Burgers’ equations is considered. Three different fractional operators: Caputo, Caputo-Fabrizio and Atangana-Baleanu operators are implemented for the equations. Also, two scenarios examined each operator: when initial conditions u(x, y, 0) = sin(xy), v(x, they e {−kxy} , where k, α some positive constants. With aid computable ...

The aim of this paper is to establish certain subordination results for analytic functions involving Atangana–Baleanu fractional integral Bessel functions. Studying properties by using various types operators a technique that widely used.

Abstract This paper is about to formulate a design of predator–prey model with constant and time fractional variable order. The predator prey act as agents in an ecosystem this simulation. We focus on order Atangana–Baleanu operator the sense Liouville–Caputo. Due nonlocality method, generated by using another FO derivative developed kernel based generalized Mittag-Leffler function. Two fractio...

In this article, the generalized Jacobi elliptic function expansion method with four new functions was used to fractional (3 + 1)-dimensional Kadomtsev–Petviashvili (GFKP) equation Atangana-Baleanu-Riemann derivative, and abundant types of analytical solutions GFKP were obtained. It is well known that there a tight connection between symmetry travelling wave solutions. Most existing techniques ...

Abstract This article presents the mathematical formulation for monkeypox infection using Mittag–Leffler kernel. A detailed of fractional-order Atangana-Baleanu derivative is given. The existence and uniqueness results system established. local asymptotical stability disease-free case, when <m:mi class="MJX-tex-caligraphic"...

We use a new integral transform approach to solve the fractional Harry Dym equation and Rosenau-Hyman in this work. The Elzaki transformation are combined suggested method (ET). To handle two nonlinear problems, we first construct transforms of Caputo derivative (CFD) Atangana-Baleanu (ABFD). ultimate purpose study is find an error analysis that demonstrates our final result converges exact app...

Abstract The classical $\mathcalligra{p}$ p -Laplace equation is one of the special and significant second-order ODEs. fractional-order ODE an important generalization. In this paper, we mainly treat with a nonlinear coupling $(\mathcalligra{p}_{1},\mathcalligra{p}_{2})$ ( ...