Given the increasing number of proposals and definitions of operators in the scope of
fractional calculus, it is important to introduce a systematic classification. Nonetheless, many …

In this article, we study different types of fractional-order logistic models in the frame of
Caputo type fractional operators generated by conformable derivatives (Caputo CFDs). We …

In this review paper, we are mainly concerned with the numerical methods for solving
fractional equations, which are divided into the fractional differential equations (FDEs), time …

This manuscript predicts the change in temperature at a different epilimnion to the change in
temperature at a different hypolimnion. The fractional analysis on rotational second-grade …

The main goal of this paper is to discover some new analytical solutions of a fractional form
of the Bogoyavlensky–Konopelchenko equation via two new analytical schemes. This model …

In this study, the acoustic nonlinear equation namely the confirmable time-fractional
Westervelt equation is under consideration analytically. This equation is applicable in the …

We prove that conformable “fractional” differentiability of a function f: 0, ∞\, ⟶ R f: 0,∞⟶ R is
nothing else than the classical differentiability. More precisely, the conformable α α …

In this paper, we investigate the existence of mild solutions for neutral Hilfer fractional
evolution equations with noninstantaneous impulsive conditions in a Banach space. We …

A new auxiliary result based on a three step quadratic kernel utilizing the concepts of local
fractional calculus is obtained. Using this new auxiliary result we have several new Newton …

In this paper, we study an initial value problem for the time diffusion equation C∂ β∂ t β u+
A u= F, 0< β≤ 1, on Ω×(0, T), where the time derivative is the conformable derivative. We …