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 …

In this article, we study generalized fractional derivatives that contain kernels depending on
a function on the space of absolute continuous functions. We generalize the Laplace …

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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 …

In this manuscript, we define the generalized fractional derivative on AC (gamma)(n)[a, b],
the space of functions defined on [a, b] such that gamma (n-1) f is an element of AC [a, b] …

In this article, we consider integro-differential equations involving the recently explored
Atangana–Baleanu fractional derivatives which contain the generalized Mittag-Leffler …

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 …

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 …