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 …

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 …

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 …

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 …

[PDF][PDF] Fractional calculus for type 2 interval-valued functions

M Rahaman, D Chalishajar, KH Gazi, S Alam… - Fractal and …, 2025 - researchgate.net
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 …

On the stop** time problem of interval-valued differential equations under generalized Hukuhara differentiability

H Wang, R Rodríguez-López, A Khastan - Information Sciences, 2021 - Elsevier
In this paper, we introduce the definitions of stop** time, forward and backward solutions
to interval-valued differential equations under generalized Hukuhara differentiability, which …

Qualitative results for nonlinear integro-dynamic equations via integral inequalities

M Bohner, PS Scindia, S Tikare - Qualitative theory of dynamical systems, 2022 - Springer
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 …

[PDF][PDF] Metric Space and Calculus of Type-2 Interval-Valued Functions

M Rahaman, M Das, S Alam… - Journal of Uncertain …, 2024 - researchgate.net
The rationale and philosophy behind various physical processes and decision-making
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 …

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 …