Application of Fractional $SPR$ Psychological Disease Model in Turkey and Stability Analysis

Application of Fractional $SPR$ Psychological Disease Model in Turkey and Stability Analysis

Psychological diseases and their treatment are problems related to public health. According to data from the World Health Organization, about a billion people have either mental illness or substance use disorder problems in 2017. Mental, neurological diseases and substance use disorders account for...

Full description

Bibliographic Details
Main Authors:	Sezer Sorgun, Halis Bilgil, Zafer Öztürk
Format:	Article
Language:	English
Published:	Mahmut Akyigit 2023-08-01
Series:	Journal of Mathematical Sciences and Modelling
Subjects:	fractional psychological disease model mathematical modeling euler method caputo derivative stability analysis.
Online Access:	https://dergipark.org.tr/tr/download/article-file/2740577

Similar Items

Application of Fractional SIQRV Model for SARS-CoV-2 and Stability Analysis
by: Zafer Öztürk, et al.
Published: (2023-05-01)

A Fractional-order mathematical model to analyze the stability and develop a sterilization strategy for the habitat of stray dogs
by: Zafer Öztürk, et al.
Published: (2024-03-01)

Stability Analysis of a Fractional-Order Linear System Described by the Caputo–Fabrizio Derivative
by: Hong Li, et al.
Published: (2019-02-01)

New Algorithms for Dealing with Fractional Initial Value Problems
by: Iqbal M. Batiha, et al.
Published: (2023-05-01)

Stability Analysis of Fractional-Order Predator-Prey System with Consuming Food Resource
by: Muhammad Shoaib Arif, et al.
Published: (2023-01-01)

Studying of COVID-19 fractional model: Stability analysis
by: Sanaa L. Khalaf, et al.
Published: (2023-06-01)

Stability of solutions of Caputo fractional stochastic differential equations
by: Guanli Xiao, et al.
Published: (2021-07-01)

A Numerical Confirmation of a Fractional-Order COVID-19 Model’s Efficiency
by: Iqbal M. Batiha, et al.
Published: (2022-12-01)

A new study on two different vaccinated fractional-order COVID-19 models via numerical algorithms
by: Anwar Zeb, et al.
Published: (2022-06-01)

Two new approximations for generalized Caputo fractional derivative and their application in solving generalized fractional sub-diffusion equations
by: Li, Xuhao, et al.
Published: (2024)

Stability analysis of a fractional-order two-species facultative mutualism model with harvesting
by: Nattakan Supajaidee, et al.
Published: (2017-11-01)

Fractional dynamics of a Chikungunya transmission model
by: Joseph Yangla, et al.
Published: (2023-09-01)

Mathematical modeling and stability analysis of the novel fractional model in the Caputo derivative operator: A case study
by: Rania Saadeh, et al.
Published: (2024-03-01)

Investigation of the dynamics of COVID-19 with a fractional mathematical model: A comparative study with actual data
by: Ismail Gad Ameen, et al.
Published: (2021-04-01)

Stability and Convergence of Explicit Difference Method for Solving the 3-Dimensional Two-Sided Fractional Diffusion Equation
by: Iman Isho Gorial
Published: (2012-03-01)

Stability analysis of linear conformable fractional differential equations system with time delays
by: Vahid Mohammadnezhad, et al.
Published: (2019-05-01)

Stability Properties of Multi-Term Fractional-Differential Equations
by: Oana Brandibur, et al.
Published: (2023-01-01)

A Fractional Atmospheric Circulation System under the Influence of a Sliding Mode Controller
by: Ramapura N. Premakumari, et al.
Published: (2022-12-01)

A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers–Ulam stability
by: Mehboob Alam, et al.
Published: (2021-08-01)

Fractional order SEIR model with generalized incidence rate
by: Muhammad Altaf Khan, et al.
Published: (2020-04-01)

Stabilization of a Non-linear Fractional Problem by a Non-Integer Frictional Damping and a Viscoelastic Term
by: Banan Al-Homidan, et al.
Published: (2023-04-01)

Asymptotic Stability of the Solutions of Neutral Linear Fractional System with Nonlinear Perturbation
by: Andrey Zahariev, et al.
Published: (2020-03-01)

Stability analysis of the corruption dynamics under fractional-order interventions
by: Anjam Yasir Nadeem, et al.
Published: (2024-02-01)

Stability of Generalized Proportional Caputo Fractional Differential Equations by Lyapunov Functions
by: Ravi Agarwal, et al.
Published: (2022-01-01)

The Stability and Stabilization of Infinite Dimensional Caputo-Time Fractional Differential Linear Systems
by: Hanaa Zitane, et al.
Published: (2020-03-01)

Numerical evaluation of fractional Tricomi-type model arising from physical problems of gas dynamics
by: O. Nikan, et al.
Published: (2020-09-01)

Stabilization and asymptotic stability of the Caputo–Fabrizio fractional-order linear and semilinear evolution equations
by: Matap Shankar, et al.
Published: (2023-12-01)

Modified Predictor–Corrector Method for the Numerical Solution of a Fractional-Order SIR Model with 2019-nCoV
by: Wei Gao, et al.
Published: (2022-02-01)

Stability Results for a Coupled System of Impulsive Fractional Differential Equations
by: Akbar Zada, et al.
Published: (2019-10-01)

Stability and existence the solution for a coupled system of hybrid fractional differential equation with uniqueness
by: Wadhah Al-Sadi, et al.
Published: (2021-01-01)

Existence Results for the Solution of the Hybrid Caputo–Hadamard Fractional Differential Problems Using Dhage’s Approach
by: Muhammad Yaseen, et al.
Published: (2021-12-01)

A Mini-Review on Recent Fractional Models for Agri-Food Problems
by: Stefania Tomasiello, et al.
Published: (2023-05-01)

Analysis of a fractional model for HIV CD$ 4^+ $ T-cells with treatment under generalized Caputo fractional derivative
by: Jutarat Kongson, et al.
Published: (2021-05-01)

Fractional critical slowing down in some biological models
by: R. A. Alharbey, et al.
Published: (2023-03-01)

A fractional order SIR epidemic model with nonlinear incidence rate
by: Abderrahim Mouaouine, et al.
Published: (2018-05-01)

Application of fractional optimal control theory for the mitigating of novel coronavirus in Algeria
by: Yacine El hadj Moussa, et al.
Published: (2022-08-01)

A Comparison of a Priori Estimates of the Solutions of a Linear Fractional System with Distributed Delays and Application to the Stability Analysis
by: Hristo Kiskinov, et al.
Published: (2021-04-01)

Fractional Growth Model Applied to COVID-19 Data
by: Fernando Alcántara-López, et al.
Published: (2021-08-01)

Applications of Lyapunov Functions to Caputo Fractional Differential Equations
by: Ravi Agarwal, et al.
Published: (2018-10-01)

A numerical technique for solving fractional optimal control problems and fractional Riccati differential equations
by: F. Ghomanjani
Published: (2016-10-01)