The present article studies the agitation scenario of SARS‐CoV‐2 (COVID‐19), current pandemic around globe, by applying Atangana–Baleanu–Caputo derivative operator where . Using classical notions, we study various qualitative features, like existence, uniqueness and investigate Hyers–Ulam stability analysis model under consideration. Lagrange's polynomial approach is used for approximation nonl...

Integral identities created in inequality theory studies help to prove many inequalities. Recently, different fractional integral and derivative operators have been used achieve these identities. In this article, with the of Atangana-Baleanu operators, an identity was first obtained various inequalities for convex functions proved using identity. last part simulation graphs are given reveal con...

This study focused on the existence and uniqueness(EU) stability of solution for a system fractional differential equations(FDEs) via Atangana-Baleanu derivative in sense Caputo (ABC) with \(\phi_{p}\)-Laplacian operator. Green function \( \mathcal{G}^{\eth}(t,s)\), \(m<\eth<m+1\), \(m\geq4\) used converting suggested problem to an integral equation. Guo-Krasnoselskii theorem proving EU problem...

This article proposed two novel techniques for solving the fractional-order Boussinesq equation. Several new approximate analytical solutions of second- and fourth-order time-fractional equation are derived using Laplace transform Atangana–Baleanu fractional derivative operator. We give some graphical tabular representations exact method results, which strongly agree with each other, to demonst...

Fractional integrals and inequalities have recently become quite popular been the prime consideration for many studies. The results of different types studied by launching innovative analytical techniques applications. These Hermite–Hadamard are discovered in this study using Atangana–Baleanu integral operators, which provide both practical powerful results. In paper, a symmetric type is provid...

Applications of the Atangana–Baleanu fractional integral were considered in recent studies related to geometric function theory obtain interesting differential subordinations. Additionally, multiplier transformation was used many studies, providing elegant results. In this paper, a new operator is defined by combining those two prolific functions. The newly applied for introducing subclass anal...

In this research, we provide a mathematical analysis for the novel coronavirus responsible COVID-19, which continues to be big source of threat humanity. Our fractional-order is carried out using non-singular kernel type operator known as Atangana--Baleanu--Caputo (ABC) derivative. We parametrize model adopting available information disease from Pakistan in period 9th April 2nd June 2020. obtai...

Physical phenomena and natural disasters, such as tsunamis floods, are caused due to dispersive water waves shallow by earthquakes. In order analyze minimize damaging effects of situations, mathematical models presented different researchers. The Wu–Zhang (WZ) system is one model that describes long waves. this regard, the current study focuses on a non-linear (2 + 1)-dimensional time-fractiona...