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 …
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 …
[HTML][HTML] Optimal and total controllability approach of non-instantaneous Hilfer fractional derivative with integral boundary condition
The focus of this work is on the absolute controllability of Hilfer impulsive non-instantaneous
neutral derivative (HINND) with integral boundary condition of any order. Total controllability …
neutral derivative (HINND) with integral boundary condition of any order. Total controllability …
[HTML][HTML] Analysis and Optimal Control of φ-Hilfer Fractional Semilinear Equations Involving Nonlocal Impulsive Conditions
The goal of this paper is to consider a new class of φ-Hilfer fractional differential equations
with impulses and nonlocal conditions. By using fractional calculus, semigroup theory, and …
with impulses and nonlocal conditions. By using fractional calculus, semigroup theory, and …
-Hilfer impulsive variational problem
CET Ledesma, N Nyamoradi - Revista de la Real Academia de Ciencias …, 2023 - Springer
In this paper, we study a fractional impulsive differential equation with the (k, ψ)-Hilfer
fractional derivative operator. Some properties of the (k, ψ)-Riemann-Liouville fractional …
fractional derivative operator. Some properties of the (k, ψ)-Riemann-Liouville fractional …
[HTML][HTML] The Right Equivalent Integral Equation of Impulsive Caputo Fractional-Order System of Order ϵ∈(1,2)
X Zhang, Z Liu, S Yang, Z Peng, Y He, L Wei - Fractal and Fractional, 2022 - mdpi.com
For the impulsive fractional-order system (IFrOS) of order ϵ∈(1, 2), there have appeared
some conflicting equivalent integral equations in existing studies. However, we find two …
some conflicting equivalent integral equations in existing studies. However, we find two …
[HTML][HTML] The Existence of Solutions for w-Weighted ψ-Hilfer Fractional Differential Inclusions of Order μ ∈ (1, 2) with Non-Instantaneous Impulses in Banach Spaces
Z Alsheekhhussain, AG Ibrahim, MM Al-Sawalha… - Fractal and …, 2024 - mdpi.com
In this research, we obtain the sufficient conditions that guarantee that the set of solutions for
an impulsive fractional differential inclusion involving aw-weighted ψ-Hilfer fractional …
an impulsive fractional differential inclusion involving aw-weighted ψ-Hilfer fractional …
Case study on total controllability and optimal control of Hilfer neutral non-instantaneous fractional derivative
The aim of the study is to discuss the controllability results of Hilfer neutral non-
instantaneous impulsive fractional integro-differential equations (HNNIIFIE). Total …
instantaneous impulsive fractional integro-differential equations (HNNIIFIE). Total …
[HTML][HTML] On ψ-Hilfer fractional integro-differential equations with non-instantaneous impulsive conditions
We establish sufficient conditions for the existence of solutions of an integral boundary value
problem for a Ψ-Hilfer fractional integro-differential equations with non-instantaneous …
problem for a Ψ-Hilfer fractional integro-differential equations with non-instantaneous …
[HTML][HTML] Nonlocal Impulsive Fractional Integral Boundary Value Problem for (ρk,ϕk)-Hilfer Fractional Integro-Differential Equations
M Kaewsuwan, R Phuwapathanapun, W Sudsutad… - Mathematics, 2022 - mdpi.com
In this paper, we establish the existence and stability results for the (ρ k, ϕ k)-Hilfer fractional
integro-differential equations under instantaneous impulse with non-local multi-point …
integro-differential equations under instantaneous impulse with non-local multi-point …