Suchergebnisse - "Fractional calculus"

Design and performance evaluation of a novel fractional order filtered PI controller for fractional order time delay systems.

Autoren: Yumuk, Erhan^1,2 (AUTHOR) erhanyumuk@gmail.com

Quelle: International Journal of Systems Science. Augu2025, Vol. 56 Issue 11, p2652-2663. 12p.

Schlagwörter: TIME delay systems, FRACTIONAL calculus, NONLINEAR equations, STABILITY theory, PID controllers, FEEDBACK control systems, FREQUENCY response, MODEL validation

Analysis of Magnetized Free Convective Flow of Casson-Type Fluid Over A Vertical Plate: A Caputo–Fabrizio Fractional Model Approach.

Autoren: Riaz, Samia Abadin, Zain Ul Ali, Qasim et al.

Quelle: NANO (1793-2920). Dec2025, Vol. 20 Issue 14, p1-13. 13p.

Schlagwörter: *FRACTIONAL calculus, *FREE convection, *THERMAL conductivity, *NANOPARTICLES, *DRILLING fluids, *NANOFLUIDICS, *CAPUTO fractional derivatives, *PSEUDOPLASTIC fluids

MR-Metric Spaces: Theory and Applications in Fractional Calculus and Fixed-Point Theorems.

Autoren: Malkawi, Abed Al-Rahman M. Rabaiah, Ayat M.

Quelle: Neutrosophic Sets & Systems. 2025, Vol. 91, p685-703. 19p.

Schlagwörter: *FRACTIONAL differential equations, *FRACTIONAL calculus, *DIFFERENTIAL calculus, *MATHEMATICAL analysis, *METRIC spaces

INVESTIGATING THE SUCCESS OF IVF WITH FRACTIONAL-ORDER MODEL: ANALYSIS AND CASE STUDY.

Autoren: GHANNAM, MANAL KAYMAKAMZADE, BILGEN FARMAN, MUHAMMAD et al.

Quelle: Fractals. Dec2025, p1. 21p.

Schlagwörter: *FERTILIZATION in vitro, *FRACTIONAL calculus, *EMBRYOLOGY, *REPRODUCTIVE health services, *PHYSIOLOGY, *MATHEMATICAL models, *SPERM count

Geografische Kategorien: NORTHERN Cyprus

Dynamical analysis of microbiome-based tumor therapeutics using a fractional derivative approach.

Autoren: Alzubadi, Hanadi¹ (AUTHOR) hhzubadi@uqu.edu.sa

Quelle: International Journal of Biomathematics. Dec2025, p1. 21p.

Schlagwörter: *FRACTIONAL calculus, *TUMOR growth, *MICROBIOTA, *MATHEMATICAL analysis, *COMPUTER simulation, *ANTINEOPLASTIC agents, *IMMUNE system

An efficient and optimal numerical approach for solving a time-fractional fourth-order reaction–diffusion model with a distributed-order operator on complex domains.

Autoren: Qiang, Xiaoli Kosari, Saeed Derakhshan, MohammadHossein

Quelle: Arabian Journal of Mathematics. Dec2025, Vol. 14 Issue 3, p493-510. 18p.

Schlagwörter: *REACTION-diffusion equations, *FRACTIONAL calculus, *SIMULATION methods & models, *NUMERICAL analysis, *OPERATOR equations, *MESHFREE methods, *STABILITY theory

Arbitrary order Mittag-Leffler function with four parameters: properties and fractional operators.

Autoren: Shahwan, Mohannad J. S. Bin-Saad, Maged G. Zayed, Mohra

Quelle: Complex Variables & Elliptic Equations. Dec2025, Vol. 70 Issue 12, p2072-2095. 24p.

Schlagwörter: *FRACTIONAL calculus, *DIFFERENTIAL operators, *MATHEMATICAL functions, *HYPERGEOMETRIC functions, *SPECIAL functions, *PARAMETERIZATION, *FRACTIONAL integrals

Deep Fuzzy Clustering-based Fractional Crayfish Optimization for big data clustering in MapReduce approach.

Autoren: Kothapeta, Deepthi Shobha Rani, V. Srilakshmi, V.

Quelle: Statistics. Dec2025, Vol. 59 Issue 6, p1353-1378. 26p.

Schlagwörter: *FUZZY clustering technique, *FRACTIONAL calculus, *CLUSTER analysis (Statistics), *DATA analysis, *FEATURE selection, *DATA transformations (Statistics), *PARALLEL computers, *MATHEMATICAL optimization

On the closed form exact solitary wave solutions for the time-fractional order nonlinear unsteady convection diffusion system with unique-existence analysis.

Autoren: Shahzad, Muhammad Anjum, Rukhshanda Ahmed, Nauman et al.

Quelle: International Journal of Geometric Methods in Modern Physics. Dec2025, Vol. 22 Issue 14, p1-31. 31p.

Schlagwörter: *FRACTIONAL calculus, *TRANSPORT equation, *MATHEMATICAL functions, *MATHEMATICAL analysis, *LIPSCHITZ continuity

Complex-order integration/differentiation of a linear function and its experimental verification.

Autoren: Elwakil, Ahmed S. Nako, Julia Psychalinos, Costas et al.

Quelle: International Journal of Electronics Letters. Dec2025, Vol. 13 Issue 4, p375-384. 10p.

Schlagwörter: *FRACTIONAL calculus, *LINEAR operators, *TIME-domain analysis, *FRACTIONAL integrals, *FIELD programmable analog arrays, *APPROXIMATION error, *DIFFERENTIATION (Mathematics)

Capturing Nonlocal Effects in Fractional Dynamics: Riesz Derivatives as a New Frontier in Modeling Complex Diffusion and Pattern Formation.

Autoren: Alqhtani, Manal Owolabi, Kolade M. Saad, Khaled M. et al.

Quelle: Mathematical Methods in the Applied Sciences. Dec2025, Vol. 48 Issue 18, p16700-16721. 22p.

Schlagwörter: *NUMERICAL solutions to equations, *FRACTIONAL calculus, *HIGH-order derivatives (Mathematics), *PATTERN formation (Biology), *FICK'S laws of diffusion, *PARTIAL differential equations, *MATHEMATICAL optimization

Implementation of Continuous‐Time Fractional‐Order Integrators, Derivatives, and Systems Using Takenaka‐Malmquist Functions.

Autoren: Stanisławski, Rafał Rydel, Marek

Quelle: Mathematical Methods in the Applied Sciences. Dec2025, Vol. 48 Issue 18, p16669-16679. 11p.

Schlagwörter: *FRACTIONAL calculus, *CONTINUOUS time systems, *APPROXIMATION error, *CAPUTO fractional derivatives, *SIMULATION methods & models, *ALGORITHMS

On the Well‐Posedness of a Nonlinear Diffusion Equation With Gray‐Level and Fractional Gradient Dependent Coefficients.

Autoren: Boudrissa, Imane Benhamidouche, Noureddine

Quelle: Mathematical Methods in the Applied Sciences. Dec2025, Vol. 48 Issue 18, p16495-16505. 11p.

Schlagwörter: *IMAGE denoising, *FRACTIONAL calculus, *CLASSICAL solutions (Mathematics), *BURGERS' equation, *FIXED point theory, *GAUSSIAN function, *STABILITY theory

Controllability Analysis of Impulsive Fractional Stochastic Integro‐Differential Equations Under Hemivariational Inequalities With Numerical Results.

Autoren: Hammad, Hasanen A. Aboelenen, Tarek

Quelle: Mathematical Methods in the Applied Sciences. Dec2025, Vol. 48 Issue 18, p16345-16364. 20p.

Schlagwörter: *FRACTIONAL calculus, *STOCHASTIC differential equations, *FIXED point theory, *CONTROLLABILITY in systems engineering, *MONTE Carlo method, *NUMERICAL analysis, *SPECTRAL theory, *VARIATIONAL inequalities (Mathematics)

The role of spontaneous clearance on fractional analysis of HBV.

Autoren: Oludoun, O. Y. Abiodun, O. Gbadamosi, B. et al.

Quelle: Infectious Disease Modelling (2468-2152). Dec2025, Vol. 10 Issue 4, p1019-1036. 18p.

Schlagwörter: *HEPATITIS B, *FRACTIONAL calculus, *MATHEMATICAL models, *PUBLIC health, *NATURAL immunity, *INFECTIOUS disease transmission, *IMMUNIZATION, *THERAPEUTICS

A conforming virtual element method for Emden-Fowler model over polygonal meshes.

Autoren: Dar, Zaffar Mehdi Arrutselvi, M. Muthusamy, Chandru et al.

Quelle: Advances in Computational Mathematics. Dec2025, Vol. 51 Issue 6, p1-36. 36p.

Schlagwörter: *GALERKIN methods, *FRACTIONAL calculus, *COMPUTER simulation, *ERROR analysis in mathematics, *MATHEMATICAL models

A Novel Method for Solving Riemann–Liouville Fractional Differential Equations.

Autoren: Mahatekar, Yogita Deshpande, Amey S.

Quelle: Mathematical Methods in the Applied Sciences. 11/30/2025, Vol. 48 Issue 17, p16052-16064. 13p.

Schlagwörter: *FRACTIONAL differential equations, *FRACTIONAL calculus, *ITERATIVE methods (Mathematics), *STABILITY theory, *APPROXIMATION theory, *CRANK-Nicolson method

A Study Concerning to the Existence and Averaging Principle for ψ‐Hilfer Fractional Stochastic Evolution Equations.

Autoren: Lv, Ting Yang, Min

Quelle: Mathematical Methods in the Applied Sciences. 11/30/2025, Vol. 48 Issue 17, p15773-15783. 11p.

Schlagwörter: *FRACTIONAL calculus, *STOCHASTIC analysis, *STOCHASTIC differential equations, *UNIQUENESS (Mathematics), *MEAN value theorems

Numerical Solutions and Conservation Analysis of the Fractional Davey–Stewartson System Using a Crank–Nicolson Scheme.

Autoren: Molina Holguín, Carlos A. Macías, Siegfried Macías‐Díaz, Jorge E. et al.

Quelle: Mathematical Methods in the Applied Sciences. Nov2025, p1. 24p. 13 Illustrations.

Schlagwörter: *CRANK-Nicolson method, *FRACTIONAL calculus, *SOLITONS, *NUMERICAL solutions to equations, *FRACTIONAL differential equations, *FINITE difference method

A Spectral ADI Approach to Two‐Dimensional Euler–Poisson–Darboux Equations With Distributed‐Order Fractional Operators.

Autoren: Derakhshan, M. H. Ordokhani, Y.

Quelle: Mathematical Methods in the Applied Sciences. Nov2025, p1. 23p. 6 Illustrations.

Schlagwörter: *FRACTIONAL differential equations, *FRACTIONAL calculus, *MATHEMATICAL physics, *CRANK-Nicolson method, *GALERKIN methods, *DISCRETIZATION methods