Ulam-Hyers stability of caputo type fuzzy fractional differential equations with time-delays
X Wang, D Luo, Q Zhu - Chaos, Solitons & Fractals, 2022 - Elsevier
This paper is concerned with the Ulam-Hyers stability (UHs) of Caputo type fuzzy fractional
differential equations (FFDEs) with time-delays. By applying Schauder's fixed point theorem …
differential equations (FFDEs) with time-delays. By applying Schauder's fixed point theorem …
Ulam–Hyers stability of Caputo-type fractional fuzzy stochastic differential equations with delay
D Luo, X Wang, T Caraballo, Q Zhu - Communications in Nonlinear Science …, 2023 - Elsevier
We explore a new kind of Caputo-type fractional fuzzy stochastic differential equations
(FFSDEs) with delay. We establish the existence result of FFSDEs with delay by monotone …
(FFSDEs) with delay. We establish the existence result of FFSDEs with delay by monotone …
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 …
Ulam–Hyers Stability of Fuzzy Fractional Non-instantaneous Impulsive Switched Differential Equations Under Generalized Hukuhara Differentiability
J Huang, D Luo - International Journal of Fuzzy Systems, 2024 - Springer
This paper is devoted to studying a class of fuzzy fractional switched implicit differential
equations (FFSIDEs) with non-instantaneous impulses that there are few papers considering …
equations (FFSIDEs) with non-instantaneous impulses that there are few papers considering …
[PDF][PDF] Fractional calculus for type 2 interval-valued functions
This paper presents a contemporary introduction of fractional calculus for Type 2 interval-
valued functions. Type 2 interval uncertainty involves interval uncertainty with the goal of …
valued functions. Type 2 interval uncertainty involves interval uncertainty with the goal of …
On the stop** time problem of interval-valued differential equations under generalized Hukuhara differentiability
In this paper, we introduce the definitions of stop** time, forward and backward solutions
to interval-valued differential equations under generalized Hukuhara differentiability, which …
to interval-valued differential equations under generalized Hukuhara differentiability, which …
Qualitative results for nonlinear integro-dynamic equations via integral inequalities
In this paper, a nonlinear integro-dynamic equation on time scales with local initial condition
is considered. The purpose of this paper is to prove existence and uniqueness of solutions …
is considered. The purpose of this paper is to prove existence and uniqueness of solutions …
[PDF][PDF] Metric Space and Calculus of Type-2 Interval-Valued Functions
The rationale and philosophy behind various physical processes and decision-making
scenarios are represented through mathematical modeling of those occurrences. A …
scenarios are represented through mathematical modeling of those occurrences. A …
[HTML][HTML] An Infinite System of Fractional Order with p-Laplacian Operator in a Tempered Sequence Space via Measure of Noncompactness Technique
A Salem, L Almaghamsi, F Alzahrani - Fractal and Fractional, 2021 - mdpi.com
In the current study, a new class of an infinite system of two distinct fractional orders with p-
Laplacian operator is presented. Our mathematical model is introduced with the Caputo …
Laplacian operator is presented. Our mathematical model is introduced with the Caputo …
Non-Instantaneous Impulsive BVPs Involving Generalized Liouville–Caputo Derivative
A Salem, S Abdullah - Mathematics, 2022 - mdpi.com
This manuscript investigates the existence, uniqueness and Ulam–Hyers stability (UH) of
solution to fractional differential equations with non-instantaneous impulses on an arbitrary …
solution to fractional differential equations with non-instantaneous impulses on an arbitrary …