Stability of Ulam-Hyers and Ulam-Hyers-Rassias for a class of fractional differential equations

DOI10.1186/s13662-020-02558-4zbMath1482.34018OpenAlexW3030332429MaRDI QIDQ2057450

Zhe Li, Qun Dai, Ruimei Gao, Changjia Wang

Publication date: 6 December 2021

Published in: Advances in Difference Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13662-020-02558-4

zbMATH Keywords

integral boundary conditionUlam-Hyers-Rassias stabilityCaputo fractional derivativeUlam-Hyers stability

Mathematics Subject Classification ID

Fractional derivatives and integrals (26A33) Stability, separation, extension, and related topics for functional equations (39B82) Fractional ordinary differential equations (34A08)

Related Items (8)

Устойчивость по Уламу - Хайерсу четырехточечной краевой задачи для дифференциальных уравнений дробного порядка Капуто с параметром ⋮ Fractional Fourier transform and stability of fractional differential equation on Lizorkin space ⋮ A fractional differential equation with multi-point strip boundary condition involving the Caputo fractional derivative and its Hyers-Ulam stability ⋮ Certain analysis of solution for the nonlinear two-point boundary value problem with Caputo fractional derivative ⋮ Existence, uniqueness and Ulam stability results for a mixed-type fractional differential equations with p-Laplacian operator ⋮ Reachability of fractional dynamical systems using ψ-Hilfer pseudo-fractional derivative ⋮ Mittag-Leffler-Hyers-Ulam stability of delay fractional differential equation via fractional Fourier transform ⋮ The Ulam stability of fractional differential equation with the Caputo-Fabrizio derivative

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Stability criteria for linear Hamiltonian dynamic systems on time scales
• Fractional cable equation models for anomalous electrodiffusion in nerve cells: Infinite domain solutions
• Existence-uniqueness result for a nonlinear \(n\)-term fractional equation
• On the Ulam-Hyers-Rassias stability for nonlinear fractional differential equations using the \(\psi \)-Hilfer operator
• Blowing-up solutions of multi-order fractional differential equations with the periodic boundary condition
• Existence, uniqueness and Ulam's stability of solutions for a coupled system of fractional differential equations with integral boundary conditions
• Fractional differential equations involving generalized derivative with Stieltjes and fractional integral boundary conditions
• Ulam type stability for a coupled system of boundary value problems of nonlinear fractional differential equations
• Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type
• Boundary value problem for linear and nonlinear fractional differential equations
• Stability of \(\psi\)-Hilfer impulsive fractional differential equations
• Uniqueness for an inverse source problem of determining a space dependent source in a time-fractional diffusion equation
• Extremal solutions for generalized Caputo fractional differential equations with Steiltjes-type fractional integro-initial conditions
• Ulam-Hyers stability of a nonlinear fractional Volterra integro-differential equation
• Existence and multiplicity of positive solutions for singular fractional differential equations with integral boundary value conditions
• Existence and uniqueness results for nonlocal integral boundary value problems for fractional differential equations
• The existence and Hyers-Ulam stability of solution for an impulsive Riemann-Liouville fractional neutral functional stochastic differential equation with infinite delay of order \(1<\beta<2\)
• Leibniz type rule: \(\psi\)-Hilfer fractional operator
• A fixed point theorem of the alternative, for contractions on a generalized complete metric space
• On the Stability of the Linear Functional Equation

This page was built for publication: Stability of Ulam-Hyers and Ulam-Hyers-Rassias for a class of fractional differential equations