Suchergebnisse - "CAPUTO fractional derivatives"

An averaged L1 ADI compact difference scheme for the three-dimensional time-fractional mobile/immobile transport equation with weakly singular solutions.

Autoren: Liu, Kai Zhang, Haixiang Yang, Xuehua

Quelle: Computers & Mathematics with Applications. Dec2025, Vol. 200, p102-116. 15p.

Schlagwörter: *TRANSPORT equation, *CAPUTO fractional derivatives, *FRACTIONAL calculus, *NUMERICAL analysis, *FINITE differences

Norm localization and nonexistence for one-dimensional Kirchhoff equations.

Autoren: Goodrich, Christopher S.¹ (AUTHOR) c.goodrich@unsw.edu.au

Quelle: International Journal of Mathematics. Nov2025, p1. 24p.

Schlagwörter: *CAPUTO fractional derivatives, *DIFFERENTIAL equations, *MATHEMATICAL analysis, *TOPOLOGY, *BOUNDARY value problems

Correction to "An Analysis on the Positive Solutions for a Fractional Configuration of the Caputo Multiterm Semilinear Differential Equation".

Quelle: Journal of Function Spaces. 11/14/2025, Vol. 2025, p1-8. 8p.

Schlagwörter: *FRACTIONAL calculus, *CAPUTO fractional derivatives, *BOUNDARY value problems, *FIXED point theory, *FRACTIONAL differential equations

Nonlinear Sequential Fractional Integro‐Differential Systems: Caputo‐Type Derivatives and Boundary Constraints.

Autoren: Fahad Aldosary, Saud Murugesan, Manigandan Gündoğdu, Hami

Quelle: Mathematical Methods in the Applied Sciences. 11/15/2025, Vol. 48 Issue 16, p15194-15218. 25p.

Schlagwörter: *CAPUTO fractional derivatives, *BOUNDARY value problems, *UNIQUENESS (Mathematics), *NONLINEAR theories, *FRACTIONAL differential equations, *MATHEMATICAL analysis, *EXISTENCE theorems

Analysis and Backstepping Control of a Novel 4D Fractional Chaotic Oscillator.

Autoren: Jajarmi, Amin Akbarian, Majid Baleanu, Dumitru

Quelle: Mathematical Methods in the Applied Sciences. 11/15/2025, Vol. 48 Issue 16, p14750-14762. 13p.

Schlagwörter: *CAPUTO fractional derivatives, *BACKSTEPPING control method, *GLOBAL asymptotic stability, *MATHEMATICAL models, *BIOLOGICAL rhythms, *STATE-space methods, *ATTRACTORS (Mathematics), *TIME-domain analysis

Exploring new routes in fractional modeling: analytical solutions of Burgers-type systems via Caputo-Hadamard and ϕ-Caputo derivatives.

Autoren: Alshammari, Mohammad Alshammari, Tariq S. Alshammari, Saleh et al.

Quelle: Boundary Value Problems. 11/10/2025, Vol. 2025 Issue 1, p1-27. 27p.

Schlagwörter: *FRACTIONAL calculus, *CAPUTO fractional derivatives, *NONLINEAR systems, *NONLINEAR wave equations, *SCIENTIFIC method, *NONLINEAR waves, *ITERATIVE methods (Mathematics)

NUMERICAL SIMULATION FOR THE FRACTIONAL LAKE POLLUTION MODEL USING TWO ACCURATE NUMERICAL METHODS.

Autoren: ADEL, M. KHADER, M. M. SWEILAM, N. H. et al.

Quelle: Fractals. Nov2025, p1. 13p.

Schlagwörter: *WATER pollution, *CAPUTO fractional derivatives, *FRACTIONAL differential equations, *COMPUTER simulation, *GEGENBAUER polynomials, *FRACTIONAL integrals, *ITERATIVE methods (Mathematics), *RUNGE-Kutta formulas

An Approach to Solve Fuzzy Fractional Darboux Problems Under the Caputo Derivative.

Autoren: Saeed, Nagwa A. Pachpatte, Deepak B. Kaikina, Elena

Quelle: International Journal of Differential Equations. 11/4/2025, Vol. 2025, p1-17. 17p.

Schlagwörter: *CAPUTO fractional derivatives, *FUZZY numbers, *MATHEMATICAL analysis, *FRACTIONAL calculus, *ENGINEERING, *ITERATIVE methods (Mathematics), *ANALYTICAL solutions

Certain Subclasses of Bi-Univalent Functions Involving Caputo Fractional Derivatives with Bounded Boundary Rotation.

Autoren: Wanas, Abbas Kareem El-Ityan, Mohammad Tayyah, Adel Salim et al.

Quelle: Mathematics (2227-7390). Nov2025, Vol. 13 Issue 21, p3563. 15p.

Schlagwörter: *CAPUTO fractional derivatives, *FRACTIONAL calculus, *ANALYTIC functions, *UNIVALENT functions, *GEOMETRIC function theory

Numerical Analysis of a High-Order Scheme for Space-Time Fractional Diffusion-Wave Equations with Riesz Derivatives.

Autoren: Singh, Anant Pratap Ramos, Higinio Singh, Vineet Kumar

Quelle: Mathematics (2227-7390). Nov2025, Vol. 13 Issue 21, p3457. 18p.

Schlagwörter: *FRACTIONAL differential equations, *CAPUTO fractional derivatives, *ERROR analysis in mathematics, *DISCRETIZATION methods, *FRACTIONAL calculus, *NUMERICAL analysis, *EMPIRICAL research

A convergent collocation approach for one- and two-dimensional fractional diffusion equations with generalized kernel.

Autoren: Kumar, Sandeep Pandey, Divyansh

Quelle: International Journal of Numerical Methods for Heat & Fluid Flow. 2025, Vol. 35 Issue 11, p3984-4011. 28p.

Schlagwörter: *COLLOCATION methods, *CAPUTO fractional derivatives, *THEORY of distributions (Functional analysis), *BOUNDARY value problems, *NUMERICAL solutions to equations, *PARTIAL differential equations, *ERROR analysis in mathematics, *NUMERICAL analysis

Advanced Graph Polynomial Technique for Time‐Fractional Degasperis‐Procesi and Camassa‐Holm Models Describe Wave Propagation in Shallow Water.

Autoren: A N., Nirmala S., Kumbinarasaiah

Quelle: Advanced Theory & Simulations. Nov2025, Vol. 8 Issue 11, p1-23. 23p.

Schlagwörter: *SHALLOW-water equations, *CAPUTO fractional derivatives, *ITERATIVE methods (Mathematics), *PARTIAL differential equations, *EQUATIONS, *NUMERICAL analysis, *THEORY of wave motion, *REPRESENTATIONS of graphs

A high-accuracy approach for time-fractional diffusion equations on non-uniform mesh.

Autoren: Roul, Pradip Kumar, Vikas

Quelle: Journal of Mathematical Chemistry. Nov2025, Vol. 63 Issue 10, p2167-2196. 30p.

Schlagwörter: *CAPUTO fractional derivatives, *FRACTIONAL differential equations, *DISCRETIZATION methods, *STATISTICAL reliability, *ITERATIVE methods (Mathematics), *FINITE differences, *COMPUTER simulation

Solving coupled systems of physical equations with fractional derivatives using Aboodh transform methods.

Autoren: Almusawa, Musawa Yahya Aldawsari, Khalid Mshary, Noorah

Quelle: Boundary Value Problems. 10/30/2025, Vol. 2025 Issue 1, p1-30. 30p.

Schlagwörter: *CAPUTO fractional derivatives, *REACTION-diffusion equations, *VARIATIONAL approach (Mathematics), *MATHEMATICAL models, *MATHEMATICAL transformations, *FRACTIONAL calculus, *ANALYTICAL solutions, *ENGINEERING

Unveiling the Dynamics of (3+1$$ 3+1 $$) Dimensional q$$ q $$‐Deformed Tanh‐Gordon Equation: A Controlled Picard Approach to Fractional Nonlinear Systems.

Autoren: Ali, Khalid K. Mohamed, Mohamed S. Maneea, M.

Quelle: Mathematical Methods in the Applied Sciences. Oct2025, p1. 14p. 5 Illustrations.

Schlagwörter: *CAPUTO fractional derivatives, *FRACTIONAL differential equations, *NONLINEAR equations, *NUMERICAL analysis, *LAPLACE transformation

A novel accelerated tempered algorithm with nonuniform time-stepping compact ADI scheme for 2D tempered-fractional nonlinear Schrödinger equations with weak initial singularity.

Autoren: Dwivedi, Himanshu Kumar Rajeev

Quelle: Computers & Mathematics with Applications. Oct2025, Vol. 196, p312-337. 26p.

Schlagwörter: *NONLINEAR Schrodinger equation, *CAPUTO fractional derivatives, *FINITE differences, *MATHEMATICAL optimization, *ITERATIVE methods (Mathematics), *DISCRETIZATION methods, *MATHEMATICAL singularities

Convergence Study of a ψ$$ \psi $$‐Shifted Fractional Differential Scheme.

Autoren: Jerbi, Fatma¹ (AUTHOR) jerbiifatma@gmail.com

Quelle: Mathematical Methods in the Applied Sciences. Oct2025, p1. 6p. 1 Illustration.

Schlagwörter: *CAPUTO fractional derivatives, *FRACTIONAL calculus, *APPROXIMATION algorithms, *EMPIRICAL research, *NUMERICAL analysis, *ITERATIVE methods (Mathematics)

Two‐Parameter Dynamics and Spatiotemporal Patterns in a Fractional Goldbeter‐Lefever Model of Glycolysis.

Autoren: Belmahi, Naziha Mesdoui, Fatiha Shawagfeh, Nabil

Quelle: Mathematical Methods in the Applied Sciences. Oct2025, p1. 9p. 4 Illustrations.

Schlagwörter: *GLYCOLYSIS, *CAPUTO fractional derivatives, *MOLECULAR interactions, *FRACTIONAL calculus, *REACTION-diffusion equations, *DYNAMICAL systems, *STABILITY theory, *PATTERN formation (Physical sciences)

Time‐Optimal Control Problem for the Heat Equation With Fractional Caputo Derivative.

Autoren: Dekhkonov, Farrukh Li, Wenke Wu, Weipeng

Quelle: Mathematical Methods in the Applied Sciences. Oct2025, p1. 7p.

Schlagwörter: *HEAT equation, *CAPUTO fractional derivatives, *CONTROL theory (Engineering), *TEMPERATURE, *SPECIAL functions, *SPECTRAL element method, *OPTIMAL control theory

NEW APPLICATIONS OF THE CAPUTO FRACTIONAL DERIVATIVE TO OBTAIN NUMERICAL SOLUTION OF THE COUPLED FRACTIONAL KORTEWEG–DE VRIES MODEL USING QUINTIC B-SPLINE FUNCTIONS.

Autoren: GHAFOOR, USAMA VIVAS-CORTEZ, MIGUEL ABBAS, MUHAMMAD et al.

Quelle: Fractals. Oct2025, p1. 21p.

Schlagwörter: *CAPUTO fractional derivatives, *KORTEWEG-de Vries equation, *CRANK-Nicolson method, *NUMERICAL analysis, *WATER waves, *STABILITY theory, *SPLINES, *NUMERICAL solutions to equations