Ulam-Hyers stability for Cauchy fractional differential equation in the unit disk
type: Item
instance of: scholarly article
title: Ulam-Hyers stability for Cauchy fractional differential equation in the unit disk
zbMATH Open document ID: 1246.39024
DOI: 10.1155/2012/613270
author: Ibrahim W. Rabha
published in: Abstract and Applied Analysis
publication date: 2012-09-07T00:00:00Z
review text: Summary: We prove the Ulam-Hyers stability of Cauchy fractional differential equations in the unit disk for the linear and non-linear cases. The fractional operators are taken in sense of Srivastava-Owa operators.
Mathematics Subject Classification ID: 39B82
Mathematics Subject Classification ID: 34A08
zbMATH DE Number: 6078767
zbMATH Keywords: Ulam-Hyers stability
zbMATH Keywords: Cauchy fractional differential equations
Wikidata QID: Q58695686
MaRDI profile type: Publication
full work available at URL: https://doi.org/10.1155/2012/613270
OpenAlex ID: W1995701773
cites work: Q3293254
cites work: Q5511350
cites work: On the Stability of the Linear Functional Equation
cites work: On the Stability of the Linear Mapping in Banach Spaces
cites work: Q3665345
cites work: Approximate homomorphisms
cites work: Stability of functional equations in several variables
cites work: On some inequalities and stability results related to the exponential function
cites work: Hyers-Ulam stability of linear differential equations of first order.
cites work: Hyers-Ulam stability of linear differential equations of first order. III
cites work: Hyers-Ulam stability of linear differential equations of first order. II
cites work: Hyers-Ulam stability of linear differential equations of second order
cites work: Stability of linear differential equations of third order
cites work: Hyers-Ulam stability of a first order partial differential equation
cites work: Mittag-Leffler stability of fractional order nonlinear dynamic systems
cites work: Smoothness and stability of the solutions for nonlinear fractional differential equations
cites work: Stability of fractional-order nonlinear dynamic systems: Lyapunov direct method and generalized Mittag-Leffler stability
cites work: Ulam stability and data dependence for fractional differential equations with Caputo derivative
cites work: Approximate solutions for fractional differential equation in the unit disk
cites work: New concepts and results in stability of fractional differential equations
cites work: Mittag-Leffler-Ulam stabilities of fractional evolution equations
cites work: Existence, attractiveness and stability of solutions for quadratic Urysohn fractional integral equations
cites work: Analysis of nonlinear integral equations with Erdélyi-Kober fractional operator
cites work: Ulam stability for fractional differential equation in complex domain
cites work: Generalized Ulam-Hyers stability for fractional differential equations
cites work: Q4897609
cites work: Some distortion inequalities associated with the fractional derivatives of analytic and univalent functions
cites work: Q3995292
cites work: Q3660033
description: scientific article; zbMATH DE number 6078767