[PDF][PDF] Existence, uniqueness, and stability of a nonlinear tripled fractional order differential system

YA Madani, MNA Rabih, FA Alqarni, Z Ali… - Fractal and …, 2024 - researchgate.net
This manuscript investigates the existence, uniqueness, and different forms of Ulam stability
for a system of three coupled differential equations involving the Riemann–Liouville (RL) …

Dynamical behavior of a fractional order model for within-host SARS-CoV-2

K Dehingia, AA Mohsen, SA Alharbi, RD Alsemiry… - Mathematics, 2022 - mdpi.com
The prime objective of the current study is to propose a novel mathematical framework under
the fractional-order derivative, which describes the complex within-host behavior of SARS …

Qualitative Analyses of Fractional Integrodifferential Equations with a Variable Order under the Mittag‐Leffler Power Law

MB Jeelani, AS Alnahdi, MA Almalahi… - Journal of Function …, 2022 - Wiley Online Library
This research paper intends to study some qualitative analyses for a nonlinear fractional
integrodifferential equation with a variable order in the frame of a Mittag‐Leffler power law …

On the Generalized Liouville–Caputo Type Fractional Differential Equations Supplemented with Katugampola Integral Boundary Conditions

M Awadalla, M Subramanian, K Abuasbeh… - Symmetry, 2022 - mdpi.com
In this study, we examine the existence and Hyers–Ulam stability of a coupled system of
generalized Liouville–Caputo fractional order differential equations with integral boundary …

On boundary value problems of Caputo fractional differential equation of variable order via Kuratowski MNC technique

A Benkerrouche, MS Souid, F Jarad… - Advances in Continuous …, 2022 - Springer
In this manuscript, we examine both the existence and the stability of solutions to the
boundary value problem of Caputo fractional differential equations of variable order by …

On Hilfer‐Type Fractional Impulsive Differential Equations

C Metpattarahiran, K Karthikeyan… - International Journal …, 2022 - Wiley Online Library
Using the Schauder fixed point theorem, we prove the existence of impulsive fractional
differential equations using Hilfer fractional derivative and nearly sectorial operators in this …

Analyzing Single and Multi-valued Nonlinear Caputo Two-Term Fractional Differential Equation With Integral Boundary Conditions

RK Vats, K Dhawan, V Vijayakumar - Qualitative Theory of Dynamical …, 2024 - Springer
This article primarily focuses on the single-valued and multi-valued cases of the class of
nonlinear Caputo two-term fractional differential equation with three-point integral boundary …

Stability, Periodicity, and Related Problems in Fractional-Order Systems

M Fečkan, MF Danca - Mathematics, 2022 - mdpi.com
This Special Issue aims to collect new perspectives on the trends in both theory and
applications of stability of fractional order continuous and discrete systems, analytical and …

A Study of ψ-Hilfer Fractional Boundary Value Problem via Nonlinear Integral Conditions Describing Navier Model

S Pleumpreedaporn, W Sudsutad, C Thaiprayoon… - Mathematics, 2021 - mdpi.com
This paper investigates existence, uniqueness, and Ulam's stability results for a nonlinear
implicit ψ-Hilfer FBVP describing Navier model with NIBC s. By Banach's fixed point …

On solution for fractional differential equations using upper and lower solutions method

R Chirouf - 2023 - dspace.univ-guelma.dz
We are interested in this memory in nonlinear differential equations, this type of equations
describes many phenomena. The objective of this memory is to study the approximate …