Keywords: 60G52; 34A08; 33E12; 26A33; Fractional exponential operator; Fractional logarithmic operator; Riesz-Feller derivative; Gamma process with drift; Yule-Furry process;
مقالات ISI (ترجمه نشده)
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Keywords: 34A08; 49N05; 33E12; Fractional differential equation; Riemann-Liouville fractional derivative; Caputo fractional derivative; Fractional optimal control problem;
Keywords: Fractional calculus operators; Special functions; Generalized hypergeometric functions; Integral transforms of special functions; 26A33; 33C60; 33E12; 44A20;
Keywords: Fractional calculus; Electrical circuits; Riemann-Liouville fractional derivative; Liouville-Caputo fractional derivative; Caputo-Fabrizio fractional derivative; Mittag-Leffler function; 94C05; 26A33; 33E12; 44A10;
Nonnegativity of solutions of nonlinear fractional differential-algebraic equations
Keywords: Fractional differential-algebraic equations; nonnegativity of solutions; waveform; relaxation; monotone convergence; 26A33; 33E12;
The Prabhakar or three parameter Mittag-Leffler function: Theory and application
Keywords: Prabhakar function; Mittag-Leffler function; Asymptotic expansion; Fractional calculus; Prabhakar derivative; Havriliak-Negami model; Nonlinear heat equation; 33E12; 26A33; 34E05; 35K05;
Asymptotic results for a multivariate version of the alternative fractional Poisson process
Keywords: 60F10; 33E12; 60G22; Large deviations; Moderate deviations; Weighted Poisson distribution; First kind error probability;
Mittag-Leffler analysis II: Application to the fractional heat equation
Keywords: 46F25; 60G22; 26A33; 33E12; Non-Gaussian analysis; Generalized functions; Generalized grey Brownian motion; Time-fractional heat equation;
Mild solutions to the time fractional Navier–Stokes equations in RNRN
Keywords: 35R11; 35Q30; 33E12; 35B40; 35B65Fractional differential equations; Navier–Stokes equations; Mild solution; Mittag–Leffler functions; Decay properties
A functional limit theorem for stochastic integrals driven by a time-changed symmetric α-stable Lévy process
Keywords: primary; 60G50; 60F17; 33E12; 26A33; Skorokhod space; J1-topology; M1-topology; Fractional Poisson process; Stable subordinator; Inverse stable subordinator; Renewal process; Mittag-Leffler waiting time; Continuous time random walk; Functional Limit Theor
Numerical analysis of a two-parameter fractional telegraph equation
Keywords: 35R11; 42A38; 33E12; 65M06; 47H10Fractional partial differential equation; Fractional telegraph equation; Finite difference method; Stability; Mittag-Leffler function
Generalized Cauchy type problems for nonlinear fractional differential equations with composite fractional derivative operator
Keywords: 33E12; 33C20; 26A33; 47B38; 47G10Composite fractional derivative operator; Cauchy problem; Laplace transform method; Volterra integro-differential equation; Nonlinear fractional differential equations; Banach’s fixed point theorem; Method of successive ap
Numerical method for solving diffusion-wave phenomena
Keywords: 26A33; 33E12; 45K05; 45D05; 46F10; 26A33Convolution equations; Fractional equations of distributed order; Diffusion-wave phenomena; Tempered distributions; Approximation of tempered convolution; Laguerre polynomials
Fonctions de Mittag–Leffler et processus de Lévy stables sans sauts négatifs
Keywords: 33E12; 60E05; 60G52Factorisation de Wiener–Hopf; Fonction de Mittag–Leffler; Processus de Lévy stable
Fractional evolution Dirac-like equations: Some properties and a discrete Von Neumann-type analysis
Keywords: 26A33; 45K05; 65M06; 65M12; 33E12; 35Q40Fractional derivatives and integrals; Special functions; Finite difference methods; Stability of numerical methods
Convergence of the Grünwald–Letnikov scheme for time-fractional diffusion
Keywords: 26A33; 33E12; 45K05; 60G50; 60J60; 65N06Fractional diffusion; Potential well; Difference schemes; Convergence in distribution; Fractional derivative; Stochastic processes
Beyond the Poisson renewal process: A tutorial survey
Keywords: 26A33; 33E12; 45K05; 47G30; 60K05; 60K25; 60G50; 60G51; 60G55Renewal theory; Poisson process; Mittag–Leffler function; Wright function; Stable distributions; Waiting times; Power laws; Fractional derivative
The role of the Fox–Wright functions in fractional sub-diffusion of distributed order
Keywords: 26A33; 33E12; 33C40; 33C60; 44A10; 45K05Sub-diffusion; Fractional derivatives; Mellin–Barnes integrals; Mittag–Leffler functions; Fox–Wright functions; Integral transforms
Fox H functions in fractional diffusion
Keywords: 26A33; 33C20; 33C60; 33E12; 33E20; 33E30; 44A15; 60G18; 60J60; Fox H-functions; Mellin-Barnes integrals; Fractional derivatives; Fractional diffusion; Probability distributions;