Stability and controllability of -Caputo fractional stochastic differential systems driven by Rosenblatt process with impulses

R Dhayal, JF Gómez-Aguilar… - International Journal of …, 2024 - Springer
Many real-life problem is mathematically modeled by differential equations, there are always
intrinsic phenomena that are not taken into account and can affect the behavior of such a …

A method for solving time-fractional initial boundary value problems of variable order

K Abuasbeh, A Kanwal, R Shafqat, B Taufeeq… - Symmetry, 2023 - mdpi.com
Various scholars have lately employed a wide range of strategies to resolve specific types of
symmetrical fractional differential equations. This paper introduces a new implicit finite …

A mathematical theoretical study of a coupled fully hybrid (k, Φ)-fractional order system of BVPs in generalized Banach spaces

A Boutiara, S Etemad, STM Thabet, SK Ntouyas… - Symmetry, 2023 - mdpi.com
In this paper, we study a coupled fully hybrid system of (k, Φ)–Hilfer fractional differential
equations equipped with non-symmetric (k, Φ)–Riemann-Liouville (RL) integral conditions …

Advanced stability analysis of a fractional delay differential system with stochastic phenomena using spectral collocation method

M Xie, SU Khan, W Sumelka, AM Alamri… - Scientific Reports, 2024 - nature.com
In recent years, there has been a growing interest in incorporating fractional calculus into
stochastic delay systems due to its ability to model complex phenomena with uncertainties …

On a System of Sequential Caputo-Type p-Laplacian Fractional BVPs with Stability Analysis

H Waheed, A Zada, IL Popa, S Etemad… - Qualitative Theory of …, 2024 - Springer
The main purpose of the paper is to study the qualitative theory of the solutions of a multi-
point sequential Caputo–type p–Laplacian coupled system. The existence and uniqueness …

Approximate controllability of fractional stochastic evolution inclusions with non-local conditions

K Abuasbeh, AUK Niazi, HM Arshad, M Awadalla… - Fractal and …, 2023 - mdpi.com
This article investigates the approximate controllability of non-linear fractional stochastic
differential inclusions with non-local conditions. We establish a set of sufficient conditions for …

[HTML][HTML] Controllability of Hilfer fractional neutral impulsive stochastic delayed differential equations with nonlocal conditions

S Hussain, M Sarwar, K Abodayeh, C Promsakon… - Chaos, Solitons & …, 2024 - Elsevier
In this paper, the controllability for Hilfer fractional neutral stochastic differential equations
with infinite delay and nonlocal conditions has been investigated. Using concepts from …

A study of time-fractional model for atmospheric internal waves with Caputo-Fabrizio derivative

M Vivas-Cortez, M Sadaf, Z Perveen, G Akram… - PloS one, 2024 - journals.plos.org
The internal atmospheric waves are gravity waves and occur in the inner part of the fluid
system. In this study, a time-fractional model for internal atmospheric waves is investigated …

Results for a Control Problem for a SIS Epidemic Reaction–Diffusion Model

A Coronel, F Huancas, E Lozada, M Rojas-Medar - Symmetry, 2023 - mdpi.com
This article is focused on investigating the mathematical model calibration of a reaction–
diffusion system arising in the mathematical model of the spread of an epidemic in a society …

[PDF][PDF] A Method for Solving Time-Fractional Initial Boundary Value Problems of Variable Order. Symmetry 2023, 15, 519

K Abuasbeh, A Kanwal, R Shafqat, B Taufeeq… - 2023 - researchgate.net
Various scholars have lately employed a wide range of strategies to resolve specific types of
symmetrical fractional differential equations. This paper introduces a new implicit finite …