Fractional complex transforms for fractional differential equations
type: Item
instance of: scholarly article
title: Fractional complex transforms for fractional differential equations
zbMATH Open document ID: 1377.35266
DOI: 10.1186/1687-1847-2012-192
author: Ibrahim W. Rabha
published in: Advances in Difference Equations
publication date: 2018-01-12T00:00:00Z
Mathematics Subject Classification ID: 35R11
zbMATH DE Number: 6825841
zbMATH Keywords: fractional calculus
zbMATH Keywords: fractional differential equations
zbMATH Keywords: Srivastava-Owa fractional operators
zbMATH Keywords: unit disk
zbMATH Keywords: analytic function
zbMATH Keywords: fractional complex transform
zbMATH Keywords: Cauchy differential equation
zbMATH Keywords: Fox-Wright function
Wikidata QID: Q59272335
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1186/1687-1847-2012-192
OpenAlex ID: W2114532977
cites work: Q4897609
cites work: Some distortion inequalities associated with the fractional derivatives of analytic and univalent functions
cites work: Q3141902
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Applications of fractional calculus in physics
cites work: Global stability properties of the complex Lorenz model
cites work: Q5699297
cites work: Advances in Fractional Calculus
cites work: New Trends in Nanotechnology and Fractional Calculus Applications
cites work: Q3408155
cites work: Onset of nonlinearity in thermostatted active particles models for complex systems
cites work: MODIFIED PROJECTIVE LAG SYNCHRONIZATION OF TWO NONIDENTICAL HYPERCHAOTIC COMPLEX NONLINEAR SYSTEMS
cites work: On the hyperchaotic complex Lü system
cites work: The complex Lorenz equations
cites work: Construction of a complex-valued fractional Brownian motion of order N
cites work: Fractional Brownian motion with complex variance via random walk in the complex plane and applications
cites work: Schrödinger equation for quantum fractal space-time of order \(n\) via the complex-valued fractional Brownian motion.
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: Fractionalization of the complex-valued Brownian motion of order \(n\) using Riemann-Liouville derivative. Applications to mathematical finance and stochastic mechanics
cites work: Q3006513
cites work: On exact solutions of a class of fractional Euler-Lagrange equations
cites work: Subordination and superordination for univalent solutions for fractional differential equations
cites work: Q3052926
cites work: Existence and uniqueness of holomorphic solutions for fractional Cauchy problem
cites work: Ulam stability for fractional differential equation in complex domain
cites work: On holomorphic solution for space- and time-fractional telegraph equations in complex domain
cites work: Bäcklund transformations for a matrix second Painlevé equation
cites work: Q3995292
cites work: On generalized Srivastava-Owa fractional operators in the unit disk
cites work: Fractional complex transform for fractional differential equations
cites work: Geometrical explanation of the fractional complex transform and derivative chain rule for fractional calculus
cites work: Q3345085
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description: scientific article; zbMATH DE number 6825841