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Accepted Papers
This section lists the accepted articles of this journal. Please cite the article using the DOI number.
Special Issue on Recent Theoretical and Numerical Methods for Solving Nonlinear Evolution Equations with Fractal and Fractional Derivatives (Part II); Guest Editors: Hossein Jafari et al.
Open Access
Fractal pattern in convex bodies' evolution of rock fracture dynamics with dependent fragmentation rate
Special Issue on Recent Theoretical and Numerical Methods for Solving Nonlinear Evolution Equations with Fractal and Fractional Derivatives (Part II); Guest Editors: Hossein Jafari et al.
Open Access
An Efficient Computational Algorithm Based on Legendre Polynomials for Fractional Order Supply Chain System
Special Issue on Recent Theoretical and Numerical Methods for Solving Nonlinear Evolution Equations with Fractal and Fractional Derivatives (Part II); Guest Editors: Hossein Jafari et al.
Open Access
Enhancing Watermarking Techniques Using SVD Transform and the Grasshopper Optimization Algorithm
Special Issue on Recent Theoretical and Numerical Methods for Solving Nonlinear Evolution Equations with Fractal and Fractional Derivatives (Part II); Guest Editors: Hossein Jafari et al.
Open Access
A Numerical Analysis of Nabla Discrete Operator: To Investigate Prey-Predator Model
Special Issue on Recent Theoretical and Numerical Methods for Solving Nonlinear Evolution Equations with Fractal and Fractional Derivatives (Part II); Guest Editors: Hossein Jafari et al.
Open Access
Epidemiological Modeling with Developing Countries Realities: Application to Ebola and Covid Spread
Special Issue on Recent Theoretical and Numerical Methods for Solving Nonlinear Evolution Equations with Fractal and Fractional Derivatives (Part II); Guest Editors: Hossein Jafari et al.
Open Access
Monkeypox: A New Mathematical Model Using the Caputo-Fabrizio Fractional Derivative
Special Issue on Recent Theoretical and Numerical Methods for Solving Nonlinear Evolution Equations with Fractal and Fractional Derivatives (Part II); Guest Editors: Hossein Jafari et al.
Open Access
Climate Change Impacts on Tri-Trophic Predator-Prey Model of the Interactions Between Wolves, Ungulates, and Plants
- Ashraf Adnan Thirthar,
- Prabir Panja,
- Zahraa Albatool Mahdi,
- Bapin Mondal,
- Asma Al-Jaser,
- Manar A. Alqudah, and
- Thabet Abdeljawad
Special Issue on Recent Theoretical and Numerical Methods for Solving Nonlinear Evolution Equations with Fractal and Fractional Derivatives (Part II); Guest Editors: Hossein Jafari et al.
Open Access
Solution of a Problem for the Equation of Oscillation of the Longitudinally Stressed Rod by the Finite Difference Method
Special Issue on Recent Theoretical and Numerical Methods for Solving Nonlinear Evolution Equations with Fractal and Fractional Derivatives (Part II); Guest Editors: Hossein Jafari et al.
Open Access
Analytical Solutions for Stochastic Fractional Maccari System
Special Issue on Recent Theoretical and Numerical Methods for Solving Nonlinear Evolution Equations with Fractal and Fractional Derivatives (Part II); Guest Editors: Hossein Jafari et al.
Open Access
Two Implicit-Explicit Difference Schemes for a Time-Fractional Viscous Wave Equation Arising in Geophysics
Special Issue on Recent Theoretical and Numerical Methods for Solving Nonlinear Evolution Equations with Fractal and Fractional Derivatives (Part II); Guest Editors: Hossein Jafari et al.
Open Access
Solution of Time-Fractional Black-Scholes Equations via Homotopy Analysis Sumudu Transform Method
Special Issue on Recent Theoretical and Numerical Methods for Solving Nonlinear Evolution Equations with Fractal and Fractional Derivatives (Part II); Guest Editors: Hossein Jafari et al.
Open Access
On the New κ-Bivariate Mittag-Leffler Function
Special Issue on Recent Theoretical and Numerical Methods for Solving Nonlinear Evolution Equations with Fractal and Fractional Derivatives (Part II); Guest Editors: Hossein Jafari et al.
Open Access
Operational matrices for solving a class of variable order partial differential equations
Special Issue on Recent Theoretical and Numerical Methods for Solving Nonlinear Evolution Equations with Fractal and Fractional Derivatives (Part II); Guest Editors: Hossein Jafari et al.
Open Access
A Numerical Scheme for a Class of Non-Linear Multi-Order Fractional Differential Equations
Special Issue on Recent Theoretical and Numerical Methods for Solving Nonlinear Evolution Equations with Fractal and Fractional Derivatives (Part II); Guest Editors: Hossein Jafari et al.
Open Access
A Coupled Nonlinear System of Integro-Differential Equations Using Modified ABC Operator
- Hasib Khan,
- Jehad Alzabut,
- D. K. Almutairi,
- Wafa Khalaf Alqurashi,
- Sandra Pinelas,
- Osman Tunc, and
- Mohammad Athar Azim
Special Issue on Recent Theoretical and Numerical Methods for Solving Nonlinear Evolution Equations with Fractal and Fractional Derivatives (Part II); Guest Editors: Hossein Jafari et al.
Open Access
On Computational Efficient Higher-Order Fractional Scheme for Nonlinear Problems with Engineering Applications
Special Issue on Recent Theoretical and Numerical Methods for Solving Nonlinear Evolution Equations with Fractal and Fractional Derivatives (Part II); Guest Editors: Hossein Jafari et al.
Open Access
Discrete Fractional Incommensurate Order Ebola Model: Analyzing Dynamics and Numerical Simulation
Special Issue on Recent Theoretical and Numerical Methods for Solving Nonlinear Evolution Equations with Fractal and Fractional Derivatives (Part II); Guest Editors: Hossein Jafari et al.
Open Access
Qualitative and quantitative analysis of the dynamics of a vector-borne disease using a fractional framework
Special Issue on Recent Theoretical and Numerical Methods for Solving Nonlinear Evolution Equations with Fractal and Fractional Derivatives (Part II); Guest Editors: Hossein Jafari et al.
Open Access
Stability Analysis of Hybrid Langevin Equation via Two Fractional Operators
Special Issue on Recent Theoretical and Numerical Methods for Solving Nonlinear Evolution Equations with Fractal and Fractional Derivatives (Part II); Guest Editors: Hossein Jafari et al.
Open Access
The rothe method for solving a nonlinear diffusion system with multi-term fractional integral operators and nonlinear coupling terms
Special Issue on Recent Theoretical and Numerical Methods for Solving Nonlinear Evolution Equations with Fractal and Fractional Derivatives (Part II); Guest Editors: Hossein Jafari et al.
Open Access
Fractals Fractional Mathematical Model For the Evolution of COVID-19 With Vaccination and Social Media Effect
Special Issue on Application of Fractional Calculus: Mathematical Modeling and Control - Part II; (Guest Editors: Salah Boulaaras et al.)
Open Access
A note on the inhomogeneous Hartree equations with potential
Special Issue on Application of Fractional Calculus: Mathematical Modeling and Control - Part II; (Guest Editors: Salah Boulaaras et al.)
Open Access
Results on Hilfer fractional stochastic switched dynamical systems with impulses: existence and optimal controls
Special Issue on Application of Fractional Calculus: Mathematical Modeling and Control - Part II; (Guest Editors: Salah Boulaaras et al.)
Open Access
Artificial Intelligence and Neural Networking for an Analysis of Fractal-Fractional Zika Virus Model
Special Issue on Application of Fractional Calculus: Mathematical Modeling and Control - Part II; (Guest Editors: Salah Boulaaras et al.)
Open Access
Scattering threshold for radial bi-harmonic Schrodinger equations
Special Issue on Application of Fractional Calculus: Mathematical Modeling and Control - Part II; (Guest Editors: Salah Boulaaras et al.)
Open Access
Certain Solutions of Singular Linear Systems of Partial Differential Equations
Special Issue on Application of Fractional Calculus: Mathematical Modeling and Control - Part II; (Guest Editors: Salah Boulaaras et al.)
Open Access
A Comprehensive Approach for Solving the Nonlinear Fractional Order Benney Equation with Non-Singular Type Derivative
Special Issue on Mathematical Modeling of Complex Systems: Fractals-Fractional-Itô-AI-DEs-Based Theories, Analyses and Applications — Part I-Portion I; (Guest Editors: Yeliz Karaca et al.)
Open Access
Analyzing the Dynamics of Breast Cancer Progression with Fractional Modeling and Simulation: Effects of Estrogen and Unhealthy Diets
- Tmader Alballa,
- Rahat Zarin,
- Aurang Zeb,
- Amir Khan,
- Hamiden Abd El-Wahed Khalifa, and
- Usa Wannasingha Humphries
Special Issue on Mathematical Modeling of Complex Systems: Fractals-Fractional-Itô-AI-DEs-Based Theories, Analyses and Applications — Part I-Portion I; (Guest Editors: Yeliz Karaca et al.)
Open Access
Artificial Neural Network Technique for Solving One-Dimensional Fractional Rayleigh-Stockes Equation
Special Issue on Mathematical Modeling of Complex Systems: Fractals-Fractional-Itô-AI-DEs-Based Theories, Analyses and Applications — Part I-Portion I; (Guest Editors: Yeliz Karaca et al.)
Open Access
Bayesian inference to predict next lower records: an application in epidemiological modelling
Special Issue on Application of Fractional Calculus: Mathematical Modeling and Control; Guest Editors: Salah Boulaaras et al.
Open Access
Optical Solutions with Kudryashov's Arbitrary Type of Generalized Non-Local Nonlinearity and Refractive Index via Kudryashov Auxiliary Euquation Method
Special Issue on Application of Fractional Calculus: Mathematical Modeling and Control; Guest Editors: Salah Boulaaras et al.
Open Access
Innovative Approaches to Population Dynamics: The Role of Fractional Operator and Soliton Solutions
- Muhammad Bilal Riaz,
- Abdelbaki Choucha,
- Rajaa Taher Matoog,
- Saad Althobaiti,
- Tomas Kozubek, and
- Ifrah Iqbal
Special Issue on Application of Fractional Calculus: Mathematical Modeling and Control; Guest Editors: Salah Boulaaras et al.
Open Access
Numerical study of fractal fractional Cancer mathematical model: with qualitative analysis
Special Issue on Application of Fractional Calculus: Mathematical Modeling and Control; Guest Editors: Salah Boulaaras et al.
Open Access
Sum-of-squares approach for modelling and control of Hail power system with time delay and conformable fractional-order derivative
Special Issue on Application of Fractional Calculus: Mathematical Modeling and Control; Guest Editors: Salah Boulaaras et al.
Open Access
Analysis of Newton and Hermite-Hadamard type Local Fractional Integral Inequalities on Fractal Sets using Generalized Pre-Invexity
Special Issue on Application of Fractional Calculus: Mathematical Modeling and Control; Guest Editors: Salah Boulaaras et al.
Open Access
Disturbance observer--based adaptive network event--triggered backstepping synchronization control for fractional order chaotic systems
Special Issue on Application of Fractional Calculus: Mathematical Modeling and Control; Guest Editors: Salah Boulaaras et al.
Open Access
Neural network-based adaptive pi backstepping control for fractional-order chaotic systems with states constraints
Special Issue on Application of Fractional Calculus: Mathematical Modeling and Control; Guest Editors: Salah Boulaaras et al.
Open Access
Results on tricomplex partial metric spaces and their application in the nonlinear boundary value problem of fractional order
Special Issue on Application of Fractional Calculus: Mathematical Modeling and Control; Guest Editors: Salah Boulaaras et al.
Open Access
Data analysis of fractal-fractional co-infection covid-tb model with the use of artificial intelligence
Special Issue on Application of Fractional Calculus: Mathematical Modeling and Control; Guest Editors: Salah Boulaaras et al.
Open Access
Study a Nonlinear Fractional Order Conformable Model of Infectious Disease Using Updated Analytical Techniques
Special Issue on Application of Fractional Calculus: Mathematical Modeling and Control; Guest Editors: Salah Boulaaras et al.
Open Access
Study of Piecewise Global Fractional Financial Model with Three State Variables
Special Issue on Application of Fractional Calculus: Mathematical Modeling and Control; Guest Editors: Salah Boulaaras et al.
Open Access
Time-series price study of cryptocurrency: fractal dimensions and interpolation functions
Special Issue on Application of Fractional Calculus: Mathematical Modeling and Control; Guest Editors: Salah Boulaaras et al.
Open Access
The prospective analysis of three-dimensional time-fractional Helmholtz model using a new iterative method
- Muhammad Nadeem,
- Omar Abu Arqub,
- Loredana Florentina Iambor,
- Mohamed Hussien, and
- Ebraheem Alzahrani
Special Issue on Application of Fractional Calculus: Mathematical Modeling and Control; Guest Editors: Salah Boulaaras et al.
Open Access
Time-Fractional Dynamics Model Black-Scholes: Implications for Option Pricing Stability
Special Issue on Application of Fractional Calculus: Mathematical Modeling and Control; Guest Editors: Salah Boulaaras et al.
Open Access
The Effects of Assumption Violations on Coefficient of Determination and Regression Model Accuracy: A Study of Construction GDP Data
No Access
Exploration into a Multifractal Spectrum Signatures and Histogram Features Fused Oracle Bone Cross-section Contour Conjugation Method
- Zun Li,
- Aimin Chen, and
- Tongjun Miao
No Access
MFA-LJP: Improved Legal Judgment Prediction using BERT Embeddings-based MultiFractal Analysis
No Access
Nonlinear Dependence Structures in Energy Commodities and Power Prices - What Can Multifractals Tell Us About Power Price Behavior?
- Stephan Schluter,
- Milena Kojic,
- Petar Mitic,
- Andreas von Dollen, and
- Fernando Henrique Antunes de Araujo
Open Access
Yolo Expert System for Real-Time Pattern Recognition Using Drones on Wind Farm Turbine
- Ricardo Carreno,
- Marco A. Acevedo Mosqueda,
- Mara Elena Acevedo Mosqueda, and
- Sandra Luz Gomez Coronel
No Access
Semi-analytical analysis of a fractional-order pandemic dynamical model using non-local operator
No Access
Exact Formula of Edge-Wiener Index on Sierpinski Networks
- Wenyan Jin,
- Qin Wang, and
- Kai Zhang
No Access
A study on Newton-type inequalities bounds for twice *differentiable functions under multiplicative Katugampola fractional integrals
- Dingyi Ai and
- Tingsong Du
No Access
A Comprehensive Study of Fractal-Fractional Reverse Minkowski-Type Inequalities with Applications
No Access
Exact solutions and bifurcation analysis of the time-fractional extended (3+1)-dimensional Kadomtsev-Petviashvili equation with conformable derivative
- Jing Zhang,
- Hui Meng,
- Zhen Zheng, and
- Zenggui Wang
No Access
A new bivariate TEMOM method for the Fractal-like agglomerate Brownian coagulation
- Xujuan Li,
- Mingzhou Yu,
- Peng Xu,
- Xiaolei Shi, and
- Zhiming Lu
Special Issue on Application of Brain-like Computing to the Modelling and Simulation of Complex Systems; edited by Shadi Mahmoud Faleh AlZu'bi (Al-Zaytoonah University of Jordan, Jordan), Maysam Abbod (Brunel University London, UK) & Ashraf Darwish (Helwan University, Cairo, Egypt)
Open Access
Enhancing Cybersecurity via Anomaly Recognition using Thermal Exchange Fractals Optimization with Deep Learning on IoT Networks
- Asma A. Alhashmi,
- Hayam Alamro,
- Mohammed Aljebreen,
- Mohammed Alghamdi,
- Abeer A. K. Alharbi, and
- Ahmed Mahmud
Special Issue on Application of Fractional Calculus: Mathematical Modeling and Control; edited by Salah Boulaaras et al
Open Access
Certain Pathway Fractional Integral Formulae Involving Extended k- Hypergeometric Functions
Special Issue on Application of Fractional Calculus: Mathematical Modeling and Control; edited by Salah Boulaaras et al
Open Access
Fractional integral inequalities for Superquadratic functions Via Atangana-Baleanu's operator with applications
Special issue on Recent Theoretical and Numerical Methods for Solving Nonlinear Evolution Equations with Fractal and Fractional Derivatives (Guest Editors: Hossein Jafari et al.)
No Access