Analysis and some applications of a regularized ψ–Hilfer fractional derivative

A Jajarmi, D Baleanu, SS Sajjadi, JJ Nieto - Journal of Computational and …, 2022 - Elsevier
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 …

Almost sectorial operators on Ψ‐Hilfer derivative fractional impulsive integro‐differential equations

K Karthikeyan, P Karthikeyan… - … Methods in the …, 2022 - Wiley Online Library
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 …

Ulam–Hyers–Mittag-Leffler stability for ψ-Hilfer fractional-order delay differential equations

K Liu, JR Wang, D O'Regan - Advances in Difference Equations, 2019 - Springer
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 …

Existence and data dependence theorems for solutions of an ABC-fractional order impulsive system

H Khan, A Khan, F Jarad, A Shah - Chaos, Solitons & Fractals, 2020 - Elsevier
The study of existence of solution ensures the essential conditions required for a solution.
Keeping the importance of the study, we initiate the existence, uniqueness and data …

The existence and Ulam–Hyers stability results for -Hilfer fractional integrodifferential equations

MS Abdo, STM Thabet, B Ahmad - Journal of Pseudo-Differential …, 2020 - Springer
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 …

Differential equations with tempered ψ-Caputo fractional derivative

M Medveď, E Brestovanská - Mathematical Modelling and …, 2021 - journals.vilniustech.lt
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 …

Nonlocal boundary value problem for generalized Hilfer implicit fractional differential equations

AD Mali, KD Kucche - Mathematical Methods in the Applied …, 2020 - Wiley Online Library
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 …

On the impulsive implicit ψ‐Hilfer fractional differential equations with delay

JP Kharade, KD Kucche - Mathematical Methods in the Applied …, 2020 - Wiley Online Library
In this paper, we investigate the existence and uniqueness of solutions and derive the Ulam‐
Hyers‐Mittag‐Leffler stability results for impulsive implicit Ψ‐Hilfer fractional differential …

A survey on non-instantaneous impulsive fuzzy differential equations involving the generalized Caputo fractional derivative in the short memory case

TV An, ND Phu, N Van Hoa - Fuzzy Sets and Systems, 2022 - Elsevier
In this paper, the existence results of the solution and the finite-time stability (FTS) are
focused for fractional fuzzy differential equations (FFDEs) involving non-instantaneous …

Stability and controllability results of ψ-Hilfer fractional integro-differential systems under the influence of impulses

R Dhayal, Q Zhu - Chaos, Solitons & Fractals, 2023 - Elsevier
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 …