Motivated by the importance of study on the complex behaviors, which may be exhibited by
fractional order differential equations, this review paper focuses on dynamical fractional …

Distinct fractional models of falling object with linear and quadratic air resistive forces are
explored under Caputo fractional derivative. Analytical solutions to each model are extracted …

The main goal of this work is to find the solutions of linear and nonlinear fractional
differential equations with the Mittag-Leffler nonsingular kernel. An accurate numerical …

This paper involves complex valued versions of Riemann-Liouville integral, Atangana-
Baleanu integral operator and non-linear Telegraph equation. Under various suitable …

In this paper, we present a calcium dynamics model that firmly orchestrates exchanges of
calcium flux through intracellular/extracellular sources of calcium to investigate cellular …

The current paper uses the cubic B-spline functions and θ-weighted scheme to achieve
numerical solutions of the time fractional Burgers' equation with Atangana–Baleanu …

This paper aims to present a novel study on the dynamics of a fractional predator–prey–
pathogen model to investigate the existence of the chaos in the model. We applied the …

In this paper, we study the solvability and generalized Ulam–Hyers (UH) stability of a
nonlinear Atangana–Baleanu–Caputo (ABC) fractional coupled system with a Laplacian …

Suggested independently with different definitions, fractal derivative and conformable
derivative are α proportional. They have been applied in quit a few problems in many field of …

In this article, we introduce an extended F-metric and proved related fixed point results.
Subsequently, we mainly focus on (a): Solution for the Atangana-Baleanu fractional integral …