The main purpose of this research is to present a generalization of Ψ–Hilfer fractional
derivative, called as regularized Ψ–Hilfer, and study some of its basic characteristics. In this …

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 …

In this paper we define a new type of the fractional derivative, which we call tempered Ψ−
Caputo fractional derivative. It is a generalization of the tempered Caputo fractional …

In this paper, we present results on the existence, uniqueness, and Ulam–Hyers–Mittag-
Leffler stability of solutions to a class of ψ-Hilfer fractional-order delay differential equations …

The study of existence of solution ensures the essential conditions required for a solution.
Kee** the importance of the study, we initiate the existence, uniqueness and data …

We consider the nonlinear Cauchy problem for\varPsi Ψ-Hilfer fractional differential
equations and investigate the existence, interval of existence and uniqueness of solution in …

We establish sufficient conditions for the existence and uniqueness of solutions for a class of
nonlinear fractional integrodifferential equations with boundary conditions involving ψ ψ …

In this paper, we introduce the ψ ψ-Hilfer pseudo-fractional operator, motivated by the ψ ψ-
Hilfer fractional derivative and the theory of pseudo-analysis. We investigate a wide class of …

This paper is devoted to exploring a new class of ψ-Hilfer fractional integro-differential
systems under the influence of impulses. Using semigroup theory, fixed-point technique, and …

In this paper, we derive the equivalent fractional integral equation to the nonlinear implicit
fractional differential equations involving Ψ‐Hilfer fractional derivative subject to nonlocal …