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 …

In this paper we introduce a new fractional derivative with respect to another function the so-
called ψ-Hilfer fractional derivative. We discuss some properties and important results of the …

This paper is concerned with the existence results of Ψ‐Hilfer fractional impulsive integro‐
differential equations involving almost sectorial operators. The mild solutions of the …

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In this paper, we investigate the sufficient conditions for existence and uniqueness of
solutions and δ-Ulam–Hyers–Rassias stability of an impulsive fractional differential equation …

We study the existence and uniqueness of solution of a nonlinear Cauchy problem involving
the ψ ψ-Hilfer fractional derivative. In addition, we discuss the Ulam–Hyers and Ulam–Hyers …

In this paper, we generalize the ψ-Hilfer fractional derivative and discuss some of its
properties. We prove existence, uniqueness and stability results for a class of initial value …

This paper is concerned with a boundary value problem for a nonlinear fractional differential
equation involving a general form of Caputo fractional derivative operator with respect to …

In the current paper, we present the most generalized variant of the Hilfer derivative so-
called (k, Ψ)-Hilfer fractional derivative operator. The (k, Ψ)-Riemann-Liouville and (k, Ψ) …

Considering a fractional integro-differential equation involving a general form of Hilfer
fractional derivative with respect to another function. We show that weighted Cauchy-type …