Search Results - Applications of Generalized Functions in Mathematics and Physics

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 et al.

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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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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Generalized Conformable Mean Value Theorems with Applications to Multivariable Calculus

Authors: Martínez González, Francisco Martín Martínez Vidal, Inmaculada Kaabar, Mohammed K. A. et al.

Contributors: Martínez González, Francisco Martín Martínez Vidal, Inmaculada Kaabar, Mohammed K. A. et al.

Source: Repositorio Digital UPCT
instname
Journal of Mathematics, Vol 2021 (2021)

Subject Terms: Finite increments, Applications of Generalized Functions in Mathematics and Physics, Conformable matrix, 02 engineering and technology, Multivariable calculus, Argument (complex analysis), Biochemistry, Quantum mechanics, 01 natural sciences, Convergence Analysis of Iterative Methods for Nonlinear Equations, Conformable derivative, Engineering, Classical multivariable calculus, QA1-939, FOS: Mathematics, 0202 electrical engineering, electronic engineering, information engineering, 0101 mathematics, Anomalous Diffusion Modeling and Analysis, Mathematical Physics, Numerical Analysis, Remainder, Arithmetic, 12 Matemáticas, Physics, FOS: Clinical medicine, Control engineering, Pure mathematics, Matemática Aplicada, 3. Good health, Chemistry, Generalized Functions, Modeling and Simulation, Dentistry, Physical Sciences, Medicine, Conformable calculus, Calculus (dental), Mathematics

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https://hdl.handle.net/10317/13283

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

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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A New Fractional Representation of the Higher Order Taylor Scheme

Authors: Iqbal M. Batiha Iqbal H. Jebril Amira Abdelnebi et al.

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
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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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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
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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

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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

On Semi-c-Periodic Functions

Authors: Mohammed Taha Khalladi Marko Kostić Manuel Pinto et al.

Source: Journal of Mathematics, Vol 2021 (2021)

Subject Terms: History of Mathematics in Education and Research, Applied Mathematics, Physical Sciences, QA1-939, FOS: Mathematics, Applications of Generalized Functions in Mathematics and Physics, Mathematical Concepts, Stability of Functional Equations in Mathematical Analysis, 0101 mathematics, 01 natural sciences, Mathematical Physics, Mathematics, Theoretical Computer Science

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On Some Applications of Generalized Meijer G - Functions.

Authors: Shah, Syed Ali Haider Siddique, Imran Khan, Ilyas et al.

Source: European Journal of Pure & Applied Mathematics; Oct2025, Vol. 18 Issue 4, p1-12, 12p

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

A Concise Introduction to Colombeau Generalized Functions and Their Applications in Classical Electrodynamics

Authors: Gsponer, Andre

Source: European Journal of Physics. Jan 2009 30(1):109-126.

Peer Reviewed: Y

Page Count: 18

Descriptors: Physics, Computation, Scientific Concepts, Science Instruction, Equations (Mathematics), Magnets, Energy, Motion, Algebra, Mathematics Instruction, College Science, College Mathematics, Undergraduate Study, Graduate Study, Multiplication, Molecular Structure, Mechanics (Physics)

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

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

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

Authors: Hashem Najafi Abdallah Bensayah Brahim Tellab et al.

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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A new equation of four infinite series and sums by using a generalized recurrence relation

Authors: Akram Louiz

Subject Terms: Relation (database), Economics, Quadrature Formulas, Applications of Generalized Functions in Mathematics and Physics, Mathematical analysis, Database, Convergence Analysis of Iterative Methods for Nonlinear Equations, Engineering, Media Technology, FOS: Electrical engineering, electronic engineering, information engineering, FOS: Mathematics, Series (stratigraphy), Electrical and Electronic Engineering, Floating-Point Arithmetic in Scientific Computation, Biology, Data mining, Mathematical Physics, Order (exchange), Algebra over a field, Numerical Analysis, FOS: Clinical medicine, Pure mathematics, Paleontology, Geology, FOS: Earth and related environmental sciences, Recurrence relation, Applied mathematics, Computer science, Mathematics education, Computational Theory and Mathematics, Generalized Functions, Remote Laboratories in Engineering Education, Origins and Applications of Electric Circuits, Dentistry, Computer Science, Physical Sciences, Medicine, Calculus (dental), Finance, Mathematics

New probabilistic solutions of the generalized shallow water wave equation with dual random dispersion coefficients.

Authors: Hussein, A.¹ (AUTHOR)

Source: Cogent Engineering. 2024, Vol. 11 Issue 1, p1-13. 13p.

Subject Terms: Probability density function, Stochastic differential equations, Physical sciences, Applied mathematics, Mathematical physics

Further results on the neutrix composition of distributions involving the delta function and the function cosh+-1(x1/r+1)$\cosh _ + ^{ - 1}\left( {{x^{1/r}} + 1} \right)$

Authors: Brian Fisher Kenan Taş

Source: Demonstratio Mathematica, Vol 52, Iss 1, Pp 249-255 (2019)

Subject Terms: composition of distributions, neutrix, Crystallography, Physics, Applications of Generalized Functions in Mathematics and Physics, primary 46f10, 01 natural sciences, neutrix limit, Chemistry, Generalized Functions, Combinatorics, Physical Sciences, distribution, QA1-939, FOS: Mathematics, dirac-delta function, 0101 mathematics, 10. No inequality, secondary 33b10, Mathematical Physics, Mathematics

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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 et al.

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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