Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
type: Item
instance of: scholarly article
title: Modified Riemann-Liouville derivative and fractional Taylor series of nondifferentiable. functions. Further results
zbMATH Open document ID: 1137.65001
publication date: 2008-03-11T00:00:00Z
Mathematics Subject Classification ID: 65B15
Mathematics Subject Classification ID: 26A33
Mathematics Subject Classification ID: 40A05
zbMATH DE Number: 5247980
zbMATH Keywords: fractional Taylor series
zbMATH Keywords: fractional Mac-Laurin series
zbMATH Keywords: fractional derivative
zbMATH Keywords: Mittag-Leffler function
zbMATH Keywords: nondifferentiable functions
zbMATH Keywords: Dirac delta function
author: Guy Jumarie
MaRDI profile type: Publication
full work available at URL: j.camwa.2006.02.001
OpenAlex ID: W1966553738
Wikidata QID: Q56687910
cites work: Stochastic analysis of the fractional Brownian motion
cites work: Stochastic Calculus for Fractional Brownian Motion I. Theory
cites work: FRACTIONAL WHITE NOISE CALCULUS AND APPLICATIONS TO FINANCE
cites work: Stochastic differential equations with fractional Brownian motion input
cites work: Maximum entropy, information without probability and complex fractals. Classical and quantum approach
cites work: Risk and Complex Fractals in Finance∶ Application to a Black-Scholes Equation of Order n
cites work: Fractional Brownian motions via random walk in the complex plane and via fractional derivative. Comparison and further results on their Fokker-Planck equations
cites work: Fractional Brownian Motions, Fractional Noises and Applications
cites work: A class of micropulses and antipersistent fractional Brownian motion
cites work: Alternative micropulses and fractional Brownian motion
cites work: Q4438488
cites work: A review of \(E\) infinity theory and the mass spectrum of high energy particle physics
cites work: A Fokker–Planck equation of fractional order with respect to time
cites work: Schrödinger equation for quantum fractal space-time of order \(n\) via the complex-valued fractional Brownian motion.
cites work: Q3676873
cites work: Scaling laws for fractional diffusion-wave equations with singular data
cites work: Fractional-order diffusion-wave equation
cites work: Multidimensional solutions of time-fractional diffusion-wave equations
cites work: Q4274291
cites work: The scale-relativity program
cites work: Analytical approximate solutions for nonlinear fractional differential equations
cites work: On the representation of fractional Brownian motion as an integral with respect to \((dt)^a\)
cites work: On the solution of the stochastic differential equation of exponential growth driven by fractional Brownian motion
cites work: ON FRACTIONAL INTEGRALS AND DERIVATIVES
cites work: Q5551649
cites work: Taylor’s Series Generalized for Fractional Derivatives and Applications
cites work: Local Fractional Fokker-Planck Equation
cites work: Fractional Hamilton-Jacobi equation for the optimal control of nonrandom fractional dynamics with fractional cost function
DBLP publication ID: journals/cma/Jumarie06
DOI: 10.1016/J.CAMWA.2006.02.001
published in: Computers & Mathematics with Applications
description: scientific article