This article is an analysis of fractional nonlinear convection–reaction–diffusion equations involving the Atangana–Baleanu and Caputo derivatives. An efficient Aboodh homotopy perturbation transform method, which combines method with transformation, applied to investigate this fractional-order proposed model, analytically. A modified technique known as formulated approximate these The analytica...

The monkeypox virus causes a respiratory illness called monkeypox, which belongs to the Poxviridae family and Orthopoxvirus genus. Although initially endemic in Africa, it has recently become global threat with cases worldwide. Using Antangana–Baleanu fractional order approach, this study aims propose new transmission model that represents interaction between infected human rodent populations. ...

Abstract In this work, we establish some necessary results about existence theory to a class of boundary value problems (BVPs) hybrid fractional differential equations (HFDEs) in the frame Atangana–Baleanu–Caputo ( ABC ) derivative. Making use Krasnoselskii and Banach theorems, obtain required conditions. Some appropriate Hyers–Ulam (H–U) stability corresponding considered problem are also esta...

Abstract Smoking is the most lethal social poisoning event. The World Health Organization defines smoking as important preventable cause of disease. Around 4.9 million people worldwide die from every year. In order to analysis this matter, we aim investigate an e-cigarette model with Atangana-Baleanu fractional derivative. We obtain existence conditions solution for utilizing fixed-point theory...

This communication addresses a comparison of newly presented non-integer order derivatives with and without singular kernel, namely Michele Caputo–Mauro Fabrizio (CF) CF(∂β/∂tβ) and Atangana–Baleanu (AB) AB(∂α/∂tα) fractional derivatives. For this purpose, second grade fluids flow with combined gradients of mass concentration and temperature distribution over a vertical flat plate is considered...