On the stability of a hyperbolic fractional partial differential equation

DOI10.1007/s12591-019-00499-3OpenAlexW2982544428WikidataQ114220587 ScholiaQ114220587MaRDI QIDQ2686628

Edmundo Capelas de Oliveira, J. Vanterler da Costa Sousa

Publication date: 28 February 2023

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.05546

zbMATH Keywords

Ulam-Hyers-Rassias stabilityUlam-Hyers stability\(\psi\)-Hilfer fractional partial derivative\(\psi\)-Riemann-Liouville fractional partial integralhyperbolic fractional partial differential equation

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Fractional partial differential equations (35R11)

Related Items (6)

On Ulam-Hyers-Rassias stability of a generalized Caputo type multi-order boundary value problem with four-point mixed integro-derivative conditions ⋮ Analysis and applications of sequential hybrid \(\psi\)-Hilfer fractional differential equations and inclusions in Banach algebra ⋮ Existence and uniqueness of positive solutions for fractional relaxation equation in terms of \(\psi\)-Caputo fractional derivative ⋮ Existence of mild solutions to Hilfer fractional evolution equations in Banach space ⋮ On \(\psi\)-Caputo partial hyperbolic differential equations with a finite delay ⋮ Existence results and continuity dependence of solutions for fractional equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Uniqueness and Ulam stabilities results for partial fractional differential equations with not instantaneous impulses
• Weak solutions for hyperbolic partial fractional differential inclusions in Banach spaces
• Fractional order partial hyperbolic functional differential equations with state-dependent delay
• Topics in fractional differential equations
• Global uniqueness results for fractional order partial hyperbolic functional differential equations
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Darboux problem for perturbed partial differential equations of fractional order with finite delay
• On the Ulam-Hyers-Rassias stability for nonlinear fractional differential equations using the \(\psi \)-Hilfer operator
• Validation of a fractional model for erythrocyte sedimentation rate
• A review of definitions for fractional derivatives and integral
• Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation
• Ulam-Hyers-Rassias stability for a class of fractional integro-differential equations
• A Caputo fractional derivative of a function with respect to another function
• Leibniz type rule: \(\psi\)-Hilfer fractional operator
• On the \(\psi\)-Hilfer fractional derivative
• Fractional calculus and the ESR test
• An extension of Wright function and its properties
• Ulam stability of operators
• Stability of the fractional Volterra integro‐differential equation by means of ψ‐Hilfer operator
• A Gronwall inequality and the Cauchy-type problem by means of ψ-Hilfer operator
• Ulam Stability for Partial Fractional Differential Inclusions via Picard Operators Theory
• Fractional Calculus
• Existence of solutions of systems of partial differential equations of fractional order

This page was built for publication: On the stability of a hyperbolic fractional partial differential equation