On the Ulam-Hyers-Rassias stability for nonlinear fractional differential equations using the \(\psi \)-Hilfer operator
type: Item
instance of: scholarly article
title: On the Ulam-Hyers-Rassias stability for nonlinear fractional differential equations using the \(\psi \)-Hilfer operator
zbMATH Open document ID: 1398.34023
published in: Journal of Fixed Point Theory and Applications
publication date: 2018-10-30T00:00:00Z
full work available at URL: https://arxiv.org/abs/1711.07339
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34A34
Mathematics Subject Classification ID: 34D20
zbMATH DE Number: 6969087
zbMATH Keywords: existence and uniqueness
zbMATH Keywords: nonlinear Cauchy problem
zbMATH Keywords: Ulam-Hyers stability
zbMATH Keywords: Ulam-Hyers-Rassias stability
author: J. Vanterler da Costa Sousa
author: E. C. de Oliveira
MaRDI profile type: Publication
OpenAlex ID: W2963767311
arXiv ID: 1711.07339
cites work: Q5699297
cites work: On the \(\psi\)-Hilfer fractional derivative
cites work: A new truncated $M$-fractional derivative type unifying some fractional derivative types with classical properties
cites work: Q3141895
cites work: Q3457622
cites work: Fractional calculus and the ESR test
cites work: Q3076839
cites work: Fractional Calculus with Applications in Mechanics
cites work: Existence and uniqueness for a problem involving hilfer fractional derivative
cites work: Q3630748
cites work: Q5400933
cites work: Q5497334
cites work: Existence and uniqueness of solutions for nonlinear fractional differential equations with integral boundary conditions
cites work: Q3629844
cites work: Q5511350
cites work: Q3259049
cites work: On the stability of the linear transformation in Banach spaces
cites work: Homomorphisms and derivations in proper \(JCQ^{*}\)-triples
cites work: On the Stability of the Linear Mapping in Banach Spaces
cites work: Ulam’s type stability of Hadamard type fractional integral equations
cites work: Hyers-Ulam stability of delay differential equations of first order
cites work: Ulam stability and data dependence for fractional differential equations with Caputo derivative
cites work: Generalized Ulam-Hyers stability for fractional differential equations
cites work: Implicit Fractional Differential and Integral Equations
cites work: Some existence and stability results for Hilfer-fractional implicit differential equations with nonlocal conditions
cites work: Non-instantaneous impulsive fractional-order implicit differential equations with random effects
cites work: Q2954149
cites work: Existence of periodic solutions for nonlinear implicit Hadamard's fractional differential equations
cites work: Global existence and uniqueness for implicit differential equation of arbitrary order
cites work: Mittag-Leffler Functions, Related Topics and Applications
cites work: Existence and Ulam stability for nonlinear implicit fractional differential equations with Hadamard derivative
cites work: On stability for nonlinear implicit fractional differential equations
cites work: Global attractivity results for comparable solutions of nonlinear hybrid fractional integral equations
cites work: Global attractivity for nonlinear fractional differential equations
cites work: Global attractivity of solutions for nonlinear fractional order Riemann-Liouville Volterra-Stieltjes partial integral equations
DOI: 10.1007/S11784-018-0587-5
description: scientific article