A New Fractional Representation of the Higher Order Taylor Scheme

Authors: Iqbal M. Batiha, Iqbal H. Jebril, Amira Abdelnebi, Zoubir Dahmani, Shawkat Alkhazaleh, N. R. Anakira

Source: Computational and Mathematical Methods, Vol 2024 (2024)

Subject Terms: Economics, FOS: Political science, Social Sciences, Applications of Generalized Functions in Mathematics and Physics, FOS: Law, Nonstandard Analysis, 01 natural sciences, Mathematical analysis, Decision Sciences, QA1-939, FOS: Mathematics, Taylor series, 0101 mathematics, Political science, Anomalous Diffusion Modeling and Analysis, Mathematical Physics, Order (exchange), Scheme (mathematics), T57-57.97, Applied mathematics. Quantitative methods, Time-Fractional Diffusion Equation, Nonlinear Models, FOS: Clinical medicine, 4. Education, Politics, Fractional calculus, Applied mathematics, 16. Peace & justice, Fractional Derivatives, Modeling and Simulation, Dentistry, Physical Sciences, Uncertainty Quantification and Sensitivity Analysis, Medicine, Fractional Calculus, Statistics, Probability and Uncertainty, Calculus (dental), Representation (politics), Law, Mathematics, Finance

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A Kannappan-Cosine Functional Equation on Semigroups

Authors: Ahmed Jafar, Omar Ajebbar, Elhoucien Elqorachi

Source: Annales Mathematicae Silesianae, Vol 39, Iss 1, Pp 143-154 (2024)

Subject Terms: kannappan, Fractional Differential Equations, cosine-sine equation, Geometry, Applications of Generalized Functions in Mathematics and Physics, 01 natural sciences, Theory and Applications of Fractional Differential Equations, semigroups, General Mathematics (math.GM), QA1-939, FOS: Mathematics, 0101 mathematics, Mathematics - General Mathematics, Functional Differential Equations, Mathematical Physics, Functional Equations, Trigonometric functions, Nonlinear Models, Applied Mathematics, 39b52, multiplicative function, 39b32, Stability of Functional Equations in Mathematical Analysis, Computer science, Functional Analysis (math.FA), Mathematics - Functional Analysis, additive function, Semilinear Differential Equations, Physical Sciences, Mathematics

Access URL: http://arxiv.org/abs/2305.02924
https://doaj.org/article/5b1b0c10c927434ba98a494bfbaabf21

Analytic properties and numerical representations for constructing the extended beta function using logarithmic mean

Authors: Mohammed Z. Alqarni, Mohamed Abdalla

Source: AIMS Mathematics, Vol 9, Iss 5, Pp 12072-12089 (2024)

Subject Terms: extended beta function, Applications of Generalized Functions in Mathematics and Physics, Evolutionary biology, Relationship between string theory and quantum field theory, Matrix Inequalities and Geometric Means, Mathematical analysis, Quantum mechanics, 01 natural sciences, Orthogonal Polynomials, Quantum, Beta function (physics), QA1-939, FOS: Mathematics, logarithmic mean, extended beta logarithmic distribution, Logarithm, 0101 mathematics, Biology, Mathematical Physics, BETA (programming language), Applied Mathematics, Physics, 4. Education, Statistics, Pure mathematics, Quantum gravity, Applied mathematics, Computer science, Programming language, Function (biology), Physical Sciences, Mathematics

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Three essays on Machin’s type formulas

Authors: Armengol Gasull, Florian Luca, Juan Malumbres

Source: Dipòsit Digital de Documents de la UAB
Universitat Autònoma de Barcelona
Dialnet CRIS Repositorio institucional de la Universidad de La Rioja
instname
RIUR. Repositorio Institucional de la Universidad de La Rioja
Universidad de La Rioja (UR)

Subject Terms: Section (typography), Inverse trigonometric functions, Multiplication (music), Applications of Generalized Functions in Mathematics and Physics, Mathematical analysis, 01 natural sciences, Theoretical Computer Science, Database, Golden section, FOS: Mathematics, Machin's type formulas, Number Theory (math.NT), 0101 mathematics, Biology, Mathematical Physics, Algebra over a field, Mathematics - Number Theory, Arithmetic, Ecology, 11Y60 (Primary), 11D45, 33B10 (Secondary), Pure mathematics, Cantorian-Fractal Theory of Quantum Physics, Statistical and Nonlinear Physics, Division (mathematics), Measure (data warehouse), Mathematical Concepts, Discrete mathematics, Computer science, Operating system, History of Mathematics in Education and Research, Computation of π, Physics and Astronomy, Combinatorics, FOS: Biological sciences, Physical Sciences, Type (biology), Mathematics, Lehmer measure

File Description: application/pdf

Access URL: http://arxiv.org/abs/2302.00154
https://ur.portalcientifico.es/documentos/64e2a5294a4f093d56e71c10
https://investigacion.unirioja.es/documentos/64e2a5294a4f093d56e71c10
https://ddd.uab.cat/record/289990

The Uniform Effros Property and Local Homogeneity

Authors: Sergio Macı́as

Source: Mathematica Slovaca. 73:1013-1022

Subject Terms: Model Theory and Topological Dynamics, Homogeneity (statistics), Statistics, Pure mathematics, Applications of Generalized Functions in Mathematics and Physics, Epistemology, 16. Peace & justice, 01 natural sciences, FOS: Philosophy, ethics and religion, Philosophy, Combinatorics, 13. Climate action, Physical Sciences, Homogeneous Structures, FOS: Mathematics, Deformation Quantization of Poisson Manifolds, Property (philosophy), Homogeneous, Geometry and Topology, 14. Life underwater, 0101 mathematics, Mathematics, Mathematical Physics

Combinatorial Game and Number Triangle

Authors: R. Sivaraman, José Luis López Bonilla

Source: European Journal of Theoretical and Applied Sciences. 1:50-54

Subject Terms: Mathematical economics, Combinatorial game theory, Unit (ring theory), Applications of Generalized Functions in Mathematics and Physics, 01 natural sciences, Computer science, Mathematics education, Theoretical Computer Science, Numerical Computations, Database, History of Mathematics in Education and Research, Combinatorics, Row, Physical Sciences, Sequential game, FOS: Mathematics, Geometry and Topology, 0101 mathematics, Mathematics, Mathematical Physics, Game theory, Foundations of Geometric Mathematics

The Concept of Infinity under German Idealism and Modern Set Theory

Authors: Xin Tong, Sun Fu, Kaixuan Huang

Source: Communications in Humanities Research. 4:282-290

Subject Terms: German idealism, Social Sciences, Experimental and Cognitive Psychology, Applications of Generalized Functions in Mathematics and Physics, Epistemology, Logical Empiricism and Philosophy of Science, Infinity, Hegelianism, Intuitionism, Mathematical analysis, Idealism, FOS: Philosophy, ethics and religion, FOS: Psychology, Philosophy, History and Philosophy of Science, Physical Sciences, FOS: Mathematics, Psychology, Perception, Arts and Humanities, Consciousness and Phenomenal Experience, Mathematical Physics, Mathematics

Solving the Fractional Schrödinger Equation with Singular Initial Data in the Extended Colombeau Algebra of Generalized Functions

Authors: Ali El Mfadel, Saïd Melliani, Abdellah Taqbibt, M'hamed Elomari

Source: International Journal of Differential Equations, Vol 2023 (2023)

Subject Terms: Colombeau Algebras, Crystallography, Time-Fractional Diffusion Equation, Applied Mathematics, Physics, Applications of Generalized Functions in Mathematics and Physics, Stability of Functional Equations in Mathematical Analysis, 01 natural sciences, Fractional Derivatives, Chemistry, Generalized Functions, Modeling and Simulation, Physical Sciences, QA1-939, FOS: Mathematics, Fractional Calculus, 0101 mathematics, Mathematical Physics, Mathematics, Anomalous Diffusion Modeling and Analysis

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Approximate numerical algorithms and artificial neural networks for analyzing a fractal-fractional mathematical model

Authors: Hashem Najafi, Abdallah Bensayah, Brahim Tellab, Sina Etemad, Sotiris K. Ntouyas, Shahram Rezapour, Jessada Tariboon

Source: AIMS Mathematics, Vol 8, Iss 12, Pp 28280-28307 (2023)

Subject Terms: Artificial neural network, Artificial intelligence, Epidemic Models, Public Health, Environmental and Occupational Health, fixed-point theorem, Applications of Generalized Functions in Mathematics and Physics, Computer science, Mathematical analysis, 3. Good health, Algorithm, Modeling and Simulation, Disease Transmission and Population Dynamics, Physical Sciences, Health Sciences, QA1-939, FOS: Mathematics, fractal-fractional derivative, Medicine, Fractal, artificial neural networks, Anomalous Diffusion Modeling and Analysis, Mathematics, Mathematical Physics

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On the existence of almost automorphic generalized solutions to some generalized differential equations

Authors: M'hamed Elomari, Mohamed Chaib, Saïd Melliani

Source: Boletim da Sociedade Paranaense de Matemática, Vol 41 (2022)

Subject Terms: Model Theory and Topological Dynamics, Colombeau Algebras, Applied Mathematics, Physics, 4. Education, Fractional Fourier Transform Analysis, Pure mathematics, Applications of Generalized Functions in Mathematics and Physics, Automorphic form, Automorphic L-function, Generalized function, Mathematical analysis, 01 natural sciences, Differential equation, Generalized Functions, Physical Sciences, QA1-939, FOS: Mathematics, Thermodynamics, Geometry and Topology, Differential (mechanical device), 0101 mathematics, Mathematical Physics, Mathematics

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Physical Applications of the Bicomplex Fractional Laplace Transform: A Perception

Authors: A. Thirumalai, K. Muthunagai

Subject Terms: Laplace transform, Commutative property, Geometry, Applications of Generalized Functions in Mathematics and Physics, Mathematical analysis, Operational calculus, Special functions, Field (mathematics), FOS: Mathematics, Bessel function, Anomalous Diffusion Modeling and Analysis, Mathematical Physics, Algebra over a field, Fractional calculus, Pure mathematics, Cantorian-Fractal Theory of Quantum Physics, Statistical and Nonlinear Physics, Applied mathematics, 16. Peace & justice, Quaternion, Fractional Derivatives, Physics and Astronomy, Modeling and Simulation, Physical Sciences, Fractional Calculus, Mathematics

A Study on the Fractal-Fractional Epidemic Probability-Based Model of SARS-CoV-2 Virus along with the Taylor Operational Matrix Method for Its Caputo Version

Authors: Shahram Rezapour, Sina Etemad, İbrahim Avcı, Hijaz Ahmad, Azhar Hussain

Source: Journal of Function Spaces, Vol 2022 (2022)

Subject Terms: Composite material, Matrix (chemical analysis), Population, Applications of Generalized Functions in Mathematics and Physics, Mathematical analysis, 01 natural sciences, Epidemic model, Machine learning, 0103 physical sciences, QA1-939, FOS: Mathematics, Stability (learning theory), Anomalous Diffusion Modeling and Analysis, Mathematical Physics, Modeling the Dynamics of COVID-19 Pandemic, Physics, Fractional calculus, Optics, Focus (optics), Applied mathematics, Computer science, Materials science, 3. Good health, Fractional Derivatives, Environmental health, Modeling and Simulation, Physical Sciences, Medicine, Statistical physics, Fractal, Fractal dimension, Mathematics

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A Pexider system of additive functional equations in Banach algebras

Authors: Mehdi Dehghanian, Yamin Sayyari, Siriluk Paokanta, Choonkil Park

Source: Journal of Inequalities and Applications, Vol 2024, Iss 1, Pp 1-9 (2024)

Subject Terms: Hyers–Ulam stability, Algebra over a field, Algebra and Number Theory, Banach space, Deformations and Structures of Hom-Lie Algebras, Applied Mathematics, Pure mathematics, Applications of Generalized Functions in Mathematics and Physics, g-derivation, Stability of Functional Equations in Mathematical Analysis, 01 natural sciences, Additive mapping, System of functional equations, 13. Climate action, Physical Sciences, QA1-939, FOS: Mathematics, Fixed point method, 0101 mathematics, Mathematics, Mathematical Physics, C0-semigroup, Functional Equations

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Combined system of additive functional equations in Banach algebras

Authors: Siriluk Donganont, Choonkil Park

Source: Open Mathematics, Vol 22, Iss 1, Pp 3319-3327 (2024)

Subject Terms: Deformations and Structures of Hom-Lie Algebras, hyers-ulam stability, Applications of Generalized Functions in Mathematics and Physics, Banach Spaces, 01 natural sciences, (homomorphism, derivation)-system, QA1-939, FOS: Mathematics, 0101 mathematics, 47h10, Mathematical Physics, fixed point method, Functional Equations, Molybdenum, Algebra and Number Theory, Applied Mathematics, additive mapping, Stability of Functional Equations in Mathematical Analysis, system of additive functional equations, Materials science, Sonstiges, 17b40, Generalized Functions, 13. Climate action, Mathematik, 39b72, Physical Sciences, Metallurgy, 47b47, Mathematics

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The space of infinite partitions of $\mathbb{N}$ as a topological Ramsey space

Authors: Julián C. Cano, Carlos Augusto Di Prisco

Source: Revista de la Unión Matemática Argentina. :23-48

Subject Terms: Model Theory and Topological Dynamics, Topology (electrical circuits), Pure mathematics, Applications of Generalized Functions in Mathematics and Physics, Ramsey Theory, 15. Life on land, Limits and Structures in Graph Theory, Space (punctuation), 16. Peace & justice, Computer science, Operating system, Infinite and Infinitesimal Numbers, Combinatorics, 13. Climate action, Physical Sciences, FOS: Mathematics, Discrete Mathematics and Combinatorics, Geometry and Topology, 14. Life underwater, Mathematics, Mathematical Physics, Topological space

The explicit formula for Gauss-Jordan elimination applied to flexible systems

Authors: Nam Van Tran, Júlia Justino, Imme van den Berg

Contributors: Repositório Comum

Source: Special Matrices, Vol 10, Iss 1, Pp 366-393 (2022)

Subject Terms: Composite material, Matrix (chemical analysis), Geometry, Flexible systems, Applications of Generalized Functions in Mathematics and Physics, 03h05, 0102 computer and information sciences, Quantum mechanics, 01 natural sciences, 15b33, Theoretical Computer Science, Coefficient matrix, external numbers, Machine learning, QA1-939, FOS: Mathematics, 0101 mathematics, Floating-Point Arithmetic in Scientific Computation, Scalar (mathematics), Stability (learning theory), Mathematical Physics, Eigenvalues and eigenvectors, 15a06, gauss-jordan elimination, Nonlinear Models, Physics, FOS: Clinical medicine, stability, Applied mathematics, Computer science, Materials science, Regular polygon, History of Mathematics in Education and Research, External numbers, Computational Theory and Mathematics, flexible systems, Dentistry, Physical Sciences, Computer Science, Gauss, Gaussian, Gaussian elimination, Medicine, Calculus (dental), Gauss-Jordan elimination, Stability, Mathematics, 65g99

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https://hdl.handle.net/10400.26/41075

Fractional Operators in p -adic Variable Exponent Lebesgue Spaces and Application to p -adic Derivative

Authors: Leonardo Fabio Chacón-Cortés, Humberto Rafeiro

Source: Journal of Function Spaces, Vol 2021 (2021)

Subject Terms: Lebesgue integration, Applications of Generalized Functions in Mathematics and Physics, Operator (biology), Mathematical analysis, Biochemistry, Gene, 01 natural sciences, Riemann integral, Lebesgue's number lemma, Harmonic Analysis and Operator Theory, QA1-939, FOS: Mathematics, 0101 mathematics, Variable (mathematics), Fourier integral operator, Mathematical Physics, Banach space, Exponent, Applied Mathematics, Pure mathematics, Operator theory, Linguistics, Discrete mathematics, FOS: Philosophy, ethics and religion, Philosophy, Chemistry, Physical Sciences, Function Spaces, Repressor, FOS: Languages and literature, Uniqueness, p-adic Models in Mathematical Physics, Lp space, Transcription factor, Mathematics

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Access URL: https://downloads.hindawi.com/journals/jfs/2021/3096701.pdf
https://doaj.org/article/e30c164f18cb4dbda9c89211e5d52a95
http://downloads.hindawi.com/journals/jfs/2021/3096701.pdf
https://www.hindawi.com/journals/jfs/2021/3096701/
https://downloads.hindawi.com/journals/jfs/2021/3096701.pdf

Análisis del caso Solución numérica de ecuaciones diferenciales con incertidumbre y aplicaciones

Authors: Azorín Penalva Ainhoa, Jorge Luis Yaulema Castañeda

Source: ConcienciaDigital. 4:253-272

Subject Terms: Physics, Computational Mechanics, Applications of Generalized Functions in Mathematics and Physics, FOS: Humanities, Fundamentals of Fluid Dynamics and Mechanics, Numerical Computations, FOS: Philosophy, ethics and religion, Humanities, Philosophy, Engineering, Physical Sciences, FOS: Mathematics, Scale Effects in Hydraulic Engineering Models, Mathematical Physics, Mathematics, Civil and Structural Engineering

Access URL: https://cienciadigital.org/revistacienciadigital2/index.php/ConcienciaDigital/article/download/1828/4517

e— Cálculo

Authors: Julio César Jaramillo-Quiceno

Source: Ingeniería y Ciencia, Vol 17, Iss 33 (2021)

Subject Terms: Technology, Science (General), Science, Quadrature Formulas, Applications of Generalized Functions in Mathematics and Physics, 02 engineering and technology, 01 natural sciences, Theoretical Computer Science, Convergence Analysis of Iterative Methods for Nonlinear Equations, Q1-390, Humanities, 0103 physical sciences, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, e— derivada, q — e álgebra, Mathematical Physics, Numerical Analysis, Physics, FOS: Clinical medicine, FOS: Humanities, e— integral, FOS: Philosophy, ethics and religion, Philosophy, History of Mathematics in Education and Research, e— álgebra, Dentistry, Physical Sciences, Medicine, Calculus (dental), Mathematics

Access URL: https://publicaciones.eafit.edu.co/index.php/ingciencia/article/download/6574/5157
https://doaj.org/article/357f7a65cf524d6f89c60d45d4104b81

Alienation of Drygas’ and Cauchy’s Functional Equations

Authors: Youssef Aissi, Driss Zeglami, B. Fadli

Source: Annales Mathematicae Silesianae, Vol 35, Iss 2, Pp 131-148 (2021)

Subject Terms: exponential cauchy equation, Algebra and Number Theory, Deformations and Structures of Hom-Lie Algebras, Applied Mathematics, Physics, 39b42, Applications of Generalized Functions in Mathematics and Physics, 39b32, Stability of Functional Equations in Mathematical Analysis, 16. Peace & justice, 01 natural sciences, drygas' functional equation, logarithmic cauchy equation, alienation, 39b72, Physical Sciences, QA1-939, FOS: Mathematics, 0101 mathematics, Mathematics, Mathematical Physics, Non-Archimedean Mathematics, additive cauchy equation

Access URL: https://www.sciendo.com/pdf/10.2478/amsil-2021-0002
https://doaj.org/article/2b22b1542a324dd8b8ea32f65f831245
https://sciendo.com/article/10.2478/amsil-2021-0002
https://www.sciendo.com/pdf/10.2478/amsil-2021-0002
https://doaj.org/article/2b22b1542a324dd8b8ea32f65f831245