Analysis and some applications of a regularized ψ–Hilfer fractional derivative
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 …
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 …
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 …
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
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 …
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
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 …
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 …
Caputo fractional derivative. It is a generalization of the tempered Caputo fractional …
Nonlocal boundary value problem for generalized Hilfer implicit fractional differential equations
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 …
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 …
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
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 …
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 …
systems under the influence of impulses. Using semigroup theory, fixed-point technique, and …