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

An epidemic system of HIV/AIDS transmission is examined in this paper. The classical time
derivative is modelled with the Atangana-Baleanu nonlocal and nonsingular fractional …

The classical p-Laplace equation is one of the special and significant second-order ODEs.
The fractional-order p-Laplace ODE is an important generalization. In this paper, we mainly …

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 …

In this paper, we investigate a new fractional derivative with Mittag Leffler kernels (AB-
derivative) to the fractional neutral integro-differential equations in Banach spaces. 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 …

In this paper, we consider a fractional-order eco-epidemic model based on the Rosenzweig–
MacArthur predator–prey model. The model is derived by assuming that the prey may be …

We show an application of a subdiffusion equation with Caputo fractional time derivative
with respect to another function g to describe subdiffusion in a medium having a structure …

In this paper, a competition model which describes the spatial interaction among three
species in nonlinear fashion is considered. In the model, the standard time derivative is …

The B-spline function is made up of a set of smooth piecewise polynomials that are
controlled by a set of control points. A linear combination of B-spline basis of a particular …