Search Results

Long Memory and Fractional Integration,
Uwe Hassler, from Springer (2016)
Keywords: Impulse Response, Fractional Integration, Fractional Difference, Short Memory, Fractional Noise

Fractional Programming,
Hans Frenk and S. Schaible, from Erasmus University Rotterdam, Erasmus School of Economics (ESE), Econometric Institute (2004)
Keywords: Single-ratio fractional programs, applications of fractional programs to management science and engineering, generalized fractional programs, min-max fractional programs, parametric approach, sum-of-ratios fractional programs

Fractional Programming,
Hans Frenk and S. Schaible, from Erasmus Research Institute of Management (ERIM), ERIM is the joint research institute of the Rotterdam School of Management, Erasmus University and the Erasmus School of Economics (ESE) at Erasmus University Rotterdam (2004)
Keywords: Single-ratio fractional programs, applications of fractional programs to management science and engineering, generalized fractional programs, min-max fractional programs, parametric approach, sum-of-ratios fractional programs

ON FRACTIONAL ORDER MAPS AND THEIR SYNCHRONIZATION,
Prashant M. Gade and Sachin Bhalekar, in FRACTALS (fractals) (2021)
Keywords: Fractional Calculus, Fractional Maps, Stability and Synchronization

General Fractional Vector Calculus,
Vasily E. Tarasov, in Mathematics (2021)
Keywords: vector calculus; fractional calculus; fractional dynamics

How Many Fractional Derivatives Are There?,
Duarte Valério, Manuel D. Ortigueira and António M. Lopes, in Mathematics (2022)
Keywords: fractional calculus; fractional derivative; signals and systems

Dynamics with low-level fractionality,
Vasily E. Tarasov and George M. Zaslavsky, in Physica A: Statistical Mechanics and its Applications (2006)
Keywords: Fractional equations; Fractional oscillator; Ginzburg–Landau equation;

Damping characteristics of a fractional oscillator,
B.N. Narahari Achar, John W. Hanneken and T. Clarke, in Physica A: Statistical Mechanics and its Applications (2004)
Keywords: Fractional oscillator; Dynamic damping; Fractional calculus;

ε-expansion and the fractional oscillator,
A. Tofighi and H. Nasrolah Pour, in Physica A: Statistical Mechanics and its Applications (2007)
Keywords: Fractional equations; Fractional oscillator; ε-expansion;

Multi-Kernel General Fractional Calculus of Arbitrary Order,
Vasily E. Tarasov, in Mathematics (2023)
Keywords: general fractional calculus; fractional derivatives; fractional integrals

Lattice fractional calculus,
Vasily E. Tarasov, in Applied Mathematics and Computation (2015)
Keywords: Fractional calculus; Lattice models; Fractional derivative; Fractional integral; Nonlocal continuum; Fractional dynamics;

Fractional Line Integral,
Gabriel Bengochea and Manuel Ortigueira, in Mathematics (2021)
Keywords: fractional integral; Grünwald–Letnikov fractional derivative; fractional line integral; Liouville fractional derivative

The intrinsic damping of the fractional oscillator,
Ali Tofighi, in Physica A: Statistical Mechanics and its Applications (2003)
Keywords: Fractional oscillation; Intrinsic damping;

Fractional matching markets,
Vikram Manjunath, in Games and Economic Behavior (2016)
Keywords: Fractional matching; Competitive equilibrium;

Time varying fractional cointegration,
Kisu Simwaka, from University Library of Munich, Germany (2012)
Keywords: Time varying Fractional cointegration

Fractionalization and Entrepreneurial Activities,
Sefa Awaworyi Churchill, from ZBW - Leibniz Information Centre for Economics (2015)
Keywords: entrepreneurship, ethnic diversity, fractionalization

Semiparametric fractional cointegration analysis,
D Marinucci and Peter M. Robinson, from London School of Economics and Political Science, LSE Library (2001)
Keywords: Semiparametric analysis; fractional cointegration

Bivariate FIGARCH and Fractional Cointegration,
Celso Brunetti and Christopher L. Gilbert, from Queen Mary University of London, School of Economics and Finance (1999)
Keywords: FIGARCH, Fractional Cointegration, ECM

On the fractionality of the path packing problem,
Natalia Vanetik, in Journal of Combinatorial Optimization (2012)
Keywords: Path packing, Multiflow, Fractionality

Semiparametric Fractional Cointegration Analysis,
D Marinucci and Peter M Robinson, from Suntory and Toyota International Centres for Economics and Related Disciplines, LSE (2001)
Keywords: Semiparametric analysis, fractional cointegration.

Fractional Derivatives: The Perspective of System Theory,
Manuel Duarte Ortigueira and José Tenreiro Machado, in Mathematics (2019)
Keywords: fractional calculus; fractional derivatives; fractional anti-derivatives; fractional integrals; fractional operators

Turnout and fractionalization,
Ignacio Lago, Sandra Bermúdez, Marc Guinjoan and Pablo Simón, from Universidade de Vigo, GEN - Governance and Economics research Network (2014)
Keywords: Fractionalization, Turnout, Heterogeneity, Civic Duty, Social Capital.

Development of a fractional Wiener-Hermite expansion for analyzing the fractional stochastic models,
Mohamed El-Beltagy, Ahmed Etman and Sroor Maged, in Chaos, Solitons & Fractals (2022)
Keywords: Stochastic processes; Fractional calculus; Fractional Euler-Maruyama; Fractional Brownian motion;

A new look at the fractionalization of the logistic equation,
Manuel Ortigueira and Gabriel Bengochea, in Physica A: Statistical Mechanics and its Applications (2017)
Keywords: Grünwald–Letnikov fractional derivative; Fractional calculus; Fractional logistic equation;

Parametric Analysis in Linear Fractional Programming,
Hartmut Wolf, in Operations Research (1986)
Keywords: 623 fractional programming, 639 parametric fractional programming

Fractional cointegration and real exchange rates,
Guglielmo Maria Caporale and Luis Gil-Alana, from Humboldt University of Berlin, Interdisciplinary Research Project 373: Quantification and Simulation of Economic Processes (2000)
Keywords: fractional integration, fractional cointegration, real exchange rates

Fractional cointegration in the consumption and income relationship using semiparametric techniques,
Luis Gil-Alana, in Economics Bulletin (2004)
Keywords: Fractional cointegration

Simple Wald tests of the fractional integration parameter: an overview of new results,
Laura Mayoral, from Universidad Carlos III de Madrid. Departamento de Economía (2008)
Keywords: Fractional processes

TWO-DIMENSIONAL FRACTIONAL EULER POLYNOMIALS METHOD FOR FRACTIONAL DIFFUSION-WAVE EQUATIONS,
S. Raja Balachandar, S. G. Venkatesh, K. Balasubramanian and D. Uma, in FRACTALS (fractals) (2023)
Keywords: Fractional Euler Polynomial, Caputo Fractional Derivative, Time–Space Fractional Diffusion, Fractional-Order Legendre Functions, Approximate Solutions

A fractional Gauss–Jacobi quadrature rule for approximating fractional integrals and derivatives,
S. Jahanshahi, E. Babolian, D.F.M. Torres and A.R. Vahidi, in Chaos, Solitons & Fractals (2017)
Keywords: Fractional integrals; Fractional derivatives; Gauss–Jacobi quadrature rule; Fractional differential equations; Fractional variational calculus;

On Fractional Symmetric Hahn Calculus,
Nichaphat Patanarapeelert and Thanin Sitthiwirattham, in Mathematics (2019)
Keywords: fractional symmetric Hahn integral; fractional symmetric Hahn difference operator

A note on the fractional logistic equation,
Iván Area, Jorge Losada and Juan J. Nieto, in Physica A: Statistical Mechanics and its Applications (2016)
Keywords: Fractional Calculus; Mittag-Leffler function; Fractional logistic equation;

The Linear Fractional Portfolio Selection Problem,
Bruce H. Faaland and Nancy L. Jacob, in Management Science (1981)
Keywords: finance: portfolio, programming: fractional

Determination of cointegrating rank in fractional systems,
Peter Robinson and Yoshihiro Yajima, from London School of Economics and Political Science, LSE Library (2001)
Keywords: Fractional cointegration; long memory

Determination of Cointegrating Rank in Fractional Systems,
Peter M Robinson and Yoshihiro Yajima, from Suntory and Toyota International Centres for Economics and Related Disciplines, LSE (2001)
Keywords: Fractional cointegration, long memory.

General Fractional Calculus: Multi-Kernel Approach,
Vasily E. Tarasov, in Mathematics (2021)
Keywords: fractional calculus; general fractional calculus; fractional derivative; fractional integral; nonlocality; fractional dynamics

Fractional Cointegration: A Bayesian Aproach,
Gael Martin, from Monash University, Department of Econometrics and Business Statistics (1995)
Keywords: ECONOMETRICS; Fractional Cointegration; Bayesian Analysis

A Generalized Index of Fractionalization,
Walter Bossert, Conchita D’ambrosio, and Eliana La Ferrara, from Universite de Montreal, Departement de sciences economiques (2008)
Keywords: Diversity, Similarity, Ethno-Linguistic Fractionalization.

A Generalized Index of Fractionalization,
Walter Bossert, Conchita D’ambrosio, and Eliana La Ferrara, from Centre interuniversitaire de recherche en économie quantitative, CIREQ (2008)
Keywords: Diversity, Similarity, Ethno-Linguistic Fractionalization

Rational bubbles and fractional integration,
Robinson Kruse, from Leibniz Universität Hannover, Wirtschaftswissenschaftliche Fakultät (2008)
Keywords: fractional integration, bubbles, changing persistence

Numerical Solutions for Multi-Term Fractional Order Differential Equations with Fractional Taylor Operational Matrix of Fractional Integration,
İbrahim Avcı and Nazim I. Mahmudov, in Mathematics (2020)
Keywords: fractional differential equations; numerical solutions; Riemann-Liouville fractional integral; Caputo fractional derivative; fractional Taylor vector

Fractional Black–Scholes equation,
A. Aghili, in International Journal of Financial Engineering (IJFE) (2017)
Keywords: Fractional partial differential equations, Riemann–Liouville fractional derivative, space fractional Black–Scholes equation, Laplace transforms

Time fractional quantum mechanics,
Nick Laskin, in Chaos, Solitons & Fractals (2017)
Keywords: Fractional Schrödinger equation; Time derivative of fractional order; Mittag-Leffler function; Space-time fractional quantum mechanical kernel;

FRACTIONAL BANKING,
Maria Klimikova, in Polish Journal of Management Studies (2010)
Keywords: fractional banking, banking of partial reserves, Ponzi Scheme, Multiplication Effect

Fractional randomness,
Charles S. Tapiero and Pierre Vallois, in Physica A: Statistical Mechanics and its Applications (2016)
Keywords: Fractional calculus; Randomness; Modeling; Finance; Statistics; Hurst index;

Approximation methods for solving fractional equations,
Samaneh Soradi Zeid, in Chaos, Solitons & Fractals (2019)
Keywords: Fractional differential equation; Fractional partial differential equation; Fractional integro-differential equation; Delay fractional equation; Variable order fractional equations; Numerical method;

Fundamental results on weighted Caputo–Fabrizio fractional derivative,
Mohammed Al-Refai and Abdulla M. Jarrah, in Chaos, Solitons & Fractals (2019)
Keywords: Weighted fractional derivatives; Caputo–Fabrizio fractional derivative; Fractional differential equations;

Fractional discretization: The African’s tortoise walk,
Abdon Atangana, in Chaos, Solitons & Fractals (2020)
Keywords: Fractional discretization; Classical differentiation; Fractional differentiation; Fractional integration;

The Role of the Mittag-Leffler Function in Fractional Modeling,
Sergei Rogosin, in Mathematics (2015)
Keywords: Mittag-Leffler function; fractional integrals and derivatives; fractional equations; fractional modeling

Certain Hadamard Proportional Fractional Integral Inequalities,
Gauhar Rahman, Kottakkaran Sooppy Nisar and Thabet Abdeljawad, in Mathematics (2020)
Keywords: fractional integrals; hadamard proportional fractional integrals; fractional integral inequalities

A multiscale collocation method for fractional differential problems,
L. Pezza and F. Pitolli, in Mathematics and Computers in Simulation (MATCOM) (2018)
Keywords: Fractional differential problem; Collocation method; Fractional derivative; Fractional refinable function;

Some Properties of the Functions Representable as Fractional Power Series,
Ghiocel Groza, Marilena Jianu and Ion Mierluş-Mazilu, in Mathematics (2024)
Keywords: Caputo fractional derivative operator; fractional power series; fractional analytic function

The fractional difference form of sine chaotification model,
Yuqing Li, Xing He and Wei Zhang, in Chaos, Solitons & Fractals (2020)
Keywords: Chaotification; Discrete fractional calculus; Fractional difference; Bifurcation;

Numerical Approaches to Fractional Integrals and Derivatives: A Review,
Min Cai and Changpin Li, in Mathematics (2020)
Keywords: fractional integral; fractional derivative; numerical approximation

Tempered Fractional Integral Inequalities for Convex Functions,
Gauhar Rahman, Kottakkaran Sooppy Nisar and Thabet Abdeljawad, in Mathematics (2020)
Keywords: fractional integrals; tempered fractional integral; inequalities

About Some Possible Implementations of the Fractional Calculus,
María Pilar Velasco, David Usero, Salvador Jiménez, Luis Vázquez, José Luis Vázquez-Poletti and Mina Mortazavi, in Mathematics (2020)
Keywords: fractional calculus; fractional differential equations; nonlocal effects

Exact solutions for nonlinear fractional anomalous diffusion equations,
Jin-Rong Liang, Fu-Yao Ren, Wei-Yuan Qiu and Jian-Bin Xiao, in Physica A: Statistical Mechanics and its Applications (2007)
Keywords: Anomalous diffusion; Fractional derivative; Fractional diffusion equation;

The General Fractional Derivative and Related Fractional Differential Equations,
Yuri Luchko and Masahiro Yamamoto, in Mathematics (2020)
Keywords: general fractional derivative; general fractional integral; Sonine condition; fractional relaxation equation; fractional diffusion equation; Cauchy problem; initial-boundary-value problem; inverse problem

Fractional Hamilton’s Canonical Equations and Poisson Theorem of Mechanical Systems with Fractional Factor,
Linli Wang, Jingli Fu and Liangliang Li, in Mathematics (2023)
Keywords: fractional factor; fractional Hamilton’s canonical equations; fractional Poisson theorem

Fractional stochastic Volterra equation perturbed by fractional Brownian motion,
Yinghan Zhang and Xiaoyuan Yang, in Applied Mathematics and Computation (2015)
Keywords: Fractional Brownian motion; Fractional stochastic Volterra equation; Stochastic convolution;

Stochastic fractional evolution equations with fractional brownian motion and infinite delay,
Liping Xu and Zhi Li, in Applied Mathematics and Computation (2018)
Keywords: Stochastic fractional evolution equation; Fractional Brownian motion; Infinite delay;

Regularity of fractional stochastic convolution and its application to fractional stochastic chaotic systems,
Xiuqi Huang and Xiangjun Wang, in Chaos, Solitons & Fractals (2021)
Keywords: Fractional Brownian motion; Caputo-type fractional derivative; Time regularity;

Time fractional Schrödinger equation with a limit based fractional derivative,
Chuanjin Zu and Xiangyang Yu, in Chaos, Solitons & Fractals (2022)
Keywords: Time fractional Schrödinger equation; Fractional derivative; Imaginary unit;

On the Integral of the Fractional Brownian Motion and Some Pseudo-Fractional Gaussian Processes,
Mario Abundo and Enrica Pirozzi, in Mathematics (2019)
Keywords: fractional Brownian motion; Gauss–Markov process; fractional Ornstein–Uhlenbeck

Fractional conformable derivatives of Liouville–Caputo type with low-fractionality,
V.F. Morales-Delgado, J.F. Gómez-Aguilar, R.F. Escobar-Jiménez and M.A. Taneco-Hernández, in Physica A: Statistical Mechanics and its Applications (2018)
Keywords: Fractional calculus; Low-fractality; Electrical circuits; Fractional conformable derivative;

Finite difference scheme for a fractional telegraph equation with generalized fractional derivative terms,
Kamlesh Kumar, Rajesh K. Pandey and Swati Yadav, in Physica A: Statistical Mechanics and its Applications (2019)
Keywords: Generalized fractional derivative; Finite difference scheme; Fractional telegraph equation;

On the Qualitative Analysis of Solutions of Two Fractional Order Fractional Differential Equations,
Yasar Bolat, Murat Gevgeşoğlu and George E. Chatzarakis, in Mathematics (2024)
Keywords: fractional derivative; fractional-order differential equations; qualitative analysis; oscillatory behavior

Asymptotic Behavior for High Moments of the Fractional Heat Equation with Fractional Noise,
Litan Yan and Xianye Yu, in Journal of Theoretical Probability (2019)
Keywords: Fractional heat equation, Fractional Brownian sheet, Asymptotic behavior

HADAMARD FRACTIONAL CALCULUS ON TIME SCALES,
Ting-Ting Song, Guo-Cheng Wu and Jia-Li Wei, in FRACTALS (fractals) (2022)
Keywords: Hadamard Fractional Derivative, Discrete Fractional Calculus, Time Scales

Simple Fractional Dickey Fuller test,
Ahmed Bensalma, from University Library of Munich, Germany (2013)
Keywords: Fractional integration, Fractional unit root, Dickey Fuller Test

New Fractional Dickey and Fuller Test,
Ahmed Bensalma, from University Library of Munich, Germany (2015)
Keywords: Fractional unit root, Dickey-Fuller Test, Fractional integration parameter.

Stability and chaos in the fractional Chen system,
Jan Čermák and Luděk Nechvátal, in Chaos, Solitons & Fractals (2019)
Keywords: Chen system; Fractional derivative; Stability; Fractional Hopf bifurcation; Chaos;

Discrete-Time Fractional Optimal Control,
Tirumalasetty Chiranjeevi and Raj Kumar Biswas, in Mathematics (2017)
Keywords: optimal control; fractional derivative; Hamiltonian approach; fractional order system

Remarks on the Generalized Fractional Laplacian Operator,
Chenkuan Li, Changpin Li, Thomas Humphries and Hunter Plowman, in Mathematics (2019)
Keywords: distribution; fractional Laplacian; Riesz fractional derivative; delta sequence; convolution

A note on intermittency for the fractional heat equation,
Raluca M. Balan and Daniel Conus, in Statistics & Probability Letters (2014)
Keywords: Fractional heat equation; Fractional Brownian motion; Malliavin calculus; Intermittency;

Transformation formulas for fractional Brownian motion,
Céline Jost, in Stochastic Processes and their Applications (2006)
Keywords: Fractional Brownian motion Integral transform Fractional calculus Stochastic integration

Necessary conditions to a fractional variational problem,
Melani Barrios, Gabriela Reyero and Mabel Tidball, from HAL (2022)
Keywords: Fractional Derivatives and Integrals,Fractional Ordinary Differential Equations,Variational Problems Mathematics

Fractional Cointegration in US Term Spreads,
Guglielmo Maria Caporale and Luis Gil-Alana, from DIW Berlin, German Institute for Economic Research (2010)
Keywords: Term structure, Long memory, Fractional integration, Fractional cointegration

On tempered Hilfer fractional derivatives with respect to functions and the associated fractional differential equations,
Kishor D. Kucche, Ashwini D. Mali, Arran Fernandez and Hafiz Muhammad Fahad, in Chaos, Solitons & Fractals (2022)
Keywords: Fractional differential equations; Tempered fractional calculus; Hilfer fractional derivative; Fractional calculus with respect to a function; Existence and uniqueness; Well-posedness; Ulam stability;

Forecasting the Spanish Stock Market Returns with Fractional and Non-Fractional Models,
Guglielmo Maria Caporale, Juncal Cunado and Luis Gil-Alana, in American Journal of Economics and Business Administration (2011)
Keywords: Fractional integration, stock market returns

Connecting corruption to ethnic polarization and religious fractionalization,
Edward Nissan and Shahdad Naghshpour, in Journal of Economic Studies (2013)
Keywords: Corruption, Fractionalization, Polarization

ON FRACTIONAL INTEGRALS AND DERIVATIVES OF A FUNCTION WITH RESPECT TO ANOTHER FUNCTION,
Juan J. Nieto, Madeaha Alghanmi, Bashir Ahmad, Ahmed Alsaedi and Boshra Alharbi, in FRACTALS (fractals) (2023)
Keywords: Fractional Calculus, Generalized Fractional Integral, Caputo-Type Fractional Derivative, Fractional Differential Equations, Existence

Computing Hadamard type operators of variable fractional order,
Ricardo Almeida and Delfim F.M. Torres, in Applied Mathematics and Computation (2015)
Keywords: Fractional calculus; Variable fractional order; Numerical methods; Fractional differential equations; Fractional calculus of variations;

Numerical approximations to a fractional Kawarada quenching problem,
Matthew A. Beauregard, in Applied Mathematics and Computation (2019)
Keywords: Kawarada; Quenching; Fractional derivatives;

Discontinuous fractional Sturm–Liouville problems with transmission conditions,
Zülfigar Akdoğan, Ali Yakar and Mustafa Demirci, in Applied Mathematics and Computation (2019)
Keywords: Fractional calculus; Fractional Sturm–Liouville Problem; Fractional boundary conditions; Fractional transmission condition;

Neural network method for solving fractional diffusion equations,
Haidong Qu, Zihang She and Xuan Liu, in Applied Mathematics and Computation (2021)
Keywords: Fractional diffusion equation; Neural network method; Time fractional derivative; Space fractional derivative; Time-space fractional derivative;

Generalized Fractional Bézier Curve with Shape Parameters,
Syed Ahmad Aidil Adha Said Mad Zain, Md Yushalify Misro and Kenjiro T. Miura, in Mathematics (2021)
Keywords: shape parameters; Riemann-Liouville fractional integral; fractional parameter; parametric and geometric continuity; fractional continuity; fractional Bézier curve

Fractional correlation functions in simple viscoelastic liquids,
R.F. Rodríguez, J. Fujioka and E. Salinas-Rodríguez, in Physica A: Statistical Mechanics and its Applications (2015)
Keywords: Fractional viscoelastic fluids; Fractional transport equations; Fractional stochastic equations; Fractional correlation functions;

Solution to fractional evolution equation using Mohand transform,
A. Patra, P. Baliarsingh and H. Dutta, in Mathematics and Computers in Simulation (MATCOM) (2022)
Keywords: Fractional dynamics; Riemann–Liouville fractional derivatives; Caputo fractional derivatives; Fractional derivatives; Evolution equation; Mittag-Leffler function;

Some Fractional Integral and Derivative Formulas Revisited,
Juan Luis González-Santander and Francesco Mainardi, in Mathematics (2024)
Keywords: Riemann–Liouville fractional integral; Riemann–Liouville fractional derivative; Weyl fractional integral; Weyl fractional derivative