In this paper we consider a Caputo type fractional derivative with respect to another function.
Some properties, like the semigroup law, a relationship between the fractional derivative …

On a new class of fractional operators | Advances in Continuous and Discrete Models Skip to
main content SpringerLink Account Menu Find a journal Publish with us Track your research …

In this paper, we discuss the conditions of existence and uniqueness of solutions to a certain
class of ordinary differential equations involving Atangana–Baleanu fractional derivative …

The recent studies on fractional differential equations indicate that a variety of interesting
and important results concerning existence and uniqueness of solutions, stability properties …

This paper is devoted to the study of the initial value problem of nonlinear fractional
differential equations involving a Caputo‐type fractional derivative with respect to another …

It is known that Laplace transform converges for functions of exponential order. In order to
extend the possibility of working in a large class of functions, we present a modified Laplace …

We propose a new fractional derivative, the Hilfer–Katugampola fractional derivative.
Motivated by the Hilfer derivative this formulation interpolates the well-known fractional …

Fractional derivatives hold memory effects, and they are extensively used in various real-
world applications. However, they also need large storage space and cause poor efficiency …

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 paper, a discrete fractional Susceptible-Infected-Treatment-Recovered-Susceptible
(SITRS) model for simulating the coronavirus (COVID-19) pandemic is presented. The …