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 …

Mild Solutions for w-Weighted, Φ-Hilfer, Non-Instantaneous, Impulsive, w-Weighted, Fractional, Semilinear Differential Inclusions of Order μ ∈ (1, 2) in Banach …

Z Alsheekhhussain, AG Ibrahim, MM Al-Sawalha… - Fractal and …, 2024 - mdpi.com
The aim of this work is to obtain novel and interesting results for mild solutions to a
semilinear differential inclusion involving aw-weighted, Φ-Hilfer, fractional derivative of order …

[HTML][HTML] Existence and Stability of Solutions for p-Proportional ω-Weighted κ-Hilfer Fractional Differential Inclusions in the Presence of Non-Instantaneous Impulses …

F Aladsani, AG Ibrahim - Fractal and Fractional, 2024 - mdpi.com
In this work, we introduce a new definition for the fractional differential operator that
generalizes several well-known fractional differential operators. In fact, we introduce the …

[PDF][PDF] The weighted generalized Atangana-Baleanu fractional derivative in banach spaces-definition and applications

MAL Nuwairan, AG Ibrahim - AIMS Mathematics, 2024 - aimspress.com
In this paper, we introduce the concept of the weighted generalized Atangana-Baleanu
fractional derivative. We prove the existence of the stability of solutions of non-local …

EXISTENCE OF NONTRIVIAL SOLUTIONS FOR AN INTEGRAL BOUNDARY VALUE PROBLEM INVOLVING THE CAPUTO-FABRIZIO-TYPE FRACTIONAL …

L Xue, Q Sun, D O'Regan, J Xu - Journal of Applied Analysis & …, 2025 - jaac-online.com
In this work we study the existence of nontrivial solutions for a Caputo-Fabrizio-type
fractional integral boundary value problem. We first construct a new linear operator, which …