Fox \(H\) functions in fractional diffusion

From MaRDI portal
Publication:1772351

DOI10.1016/j.cam.2004.08.006zbMath1061.33012OpenAlexW2045969550MaRDI QIDQ1772351

Gianni Pagnini, Ram Kishore Saxena, Francesco Mainardi

Publication date: 18 April 2005

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2004.08.006




Related Items (56)

Unnamed ItemA stochastic solution with Gaussian stationary increments of the symmetric space-time fractional diffusion equationFractional diffusion-type equations with exponential and logarithmic differential operatorsNon-Gaussian diffusion of mixed originsRecover the solute concentration from source measurement and boundary dataAnalytical solution of the space-time fractional hyperdiffusion equationThe role of the Fox-Wright functions in fractional sub-diffusion of distributed orderDistributed order reaction-diffusion systems associated with Caputo derivativesTime-dependent Schrödinger-like equation with nonlocal termA new fractional numerical differentiation formula to approximate the Caputo fractional derivative and its applicationsFactorization of the fundamental solution to fractional Helmholtz equationRandom diffusivity scenarios behind anomalous non-Gaussian diffusionSpace-time fractional diffusion equations and asymptotic behaviors of a coupled continuous time random walk modelFractional equations via convergence of formsFurther solutions of fractional reaction-diffusion equations in terms of the \(H\)-functionOn a class of generalized Meijer-Laplace transforms of Fox function type kernels and their extension to a class of BoehmiansA robust higher-order finite difference technique for a time-fractional singularly perturbed problemA new regularization method for a Cauchy problem of the time fractional diffusion equationComputational solutions of unified fractional reaction-diffusion equations with composite fractional time derivativeFractional Riesz–Feller type derivative for the one dimensional Dunkl operator and Lipschitz conditionOn the generalized Mittag-Leffler function and its application in a fractional telegraph equationCauchy problem for fractional advection-diffusion-asymmetry equationsStability analysis of distributed order fractional differential equationsFrom Sturm-Liouville problems to fractional and anomalous diffusionsGlobal solution of space-fractional diffusion equations with nonlinear reaction source termsIntegral representations of products of airy functions related to fractional calculusFluctuation relations for anomalous dynamics generated by time-fractional Fokker–Planck equationsGeneralized distributed order diffusion equations with composite time fractional derivativeLarge lattice fractional Fokker–Planck equationA fractional Fokker–Planck equation for non-singular kernel operatorsA nonlinear fractional diffusion equation: well-posedness, comparison results, and blow-upContinuous-time random walk and parametric subordination in fractional diffusionPartial fractional differential equations and some of their applicationsTime dependent solutions for a fractional Schrödinger equation with delta potentialsApproximate solutions of nonlinear fractional equationsAnalytical solutions for a time-fractional axisymmetric diffusion-wave equation with a source termMonte Carlo evaluation of FADE approach to anomalous kineticsTime dependent solutions for fractional coupled Schrödinger equationsLamperti-type lawsKubo fluctuation relations in the generalized elastic modelOne-dimensional stable probability density functions for rational index \(0<\alpha \leqslant 2\)Positivity of certain classes of functions related to the Fox \(H\)-functions with applicationsSome recent advances in theory and simulation of fractional diffusion processesSeries representation of the pricing formula for the European option driven by space-time fractional diffusionFractional integrals in the matrix-variate cases and connection to statistical distributionsHigh-order solvers for space-fractional differential equations with Riesz derivativeTime-fractional Diffusion of Distributed OrderUnnamed ItemOn the \((\alpha,\beta)\)-Scott-Blair anti-Zener arrangementSolutions for multidimensional fractional anomalous diffusion equationsSome inverse problems for wave equations with fractional derivative attenuationParabolic and hyperbolic contours for computing the Bromwich integralSpace-time fractional reaction-diffusion equations associated with a generalized Riemann-Liouville fractional derivativeRandom numbers from the tails of probability distributions using the transformation methodThe space-fractional diffusion-advection equation: analytical solutions and critical assessment of numerical solutionsComputational solutions of distributed order reaction-diffusion systems associated with Riemann-Liouville derivatives



Cites Work




This page was built for publication: Fox \(H\) functions in fractional diffusion