Hyers-Ulam-Mittag-Leffler stability for a system of fractional neutral differential equations

DOI10.1155/2020/2786041zbMath1459.34004OpenAlexW3028526378MaRDI QIDQ2187980

Zeeshan Ali, Jiafa Xu, Akbar Zada, Zhengqing Fu, Mansoor Ahmad, Ji-Qiang Jiang

Publication date: 3 June 2020

Published in: Discrete Dynamics in Nature and Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2020/2786041

Mathematics Subject Classification ID

Ordinary differential equations with impulses (34A37) Perturbations of ordinary differential equations (34D10) Fractional ordinary differential equations (34A08)

Related Items (3)

MODELING THE DYNAMICS OF CHRONIC MYELOGENOUS LEUKEMIA THROUGH FRACTIONAL-CALCULUS ⋮ Analysis of solutions of the integro-differential equations with generalized Liouville-Caputo fractional derivative by \(\rho\)-Laplace transform ⋮ Analysis of a coupled system of \(\psi\)-Caputo fractional derivatives with multipoint-multistrip integral type boundary conditions

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Delay-dependent robust stabilization for uncertain neutral systems with distributed delays
• The analysis of fractional differential equations. An application-oriented exposition using differential operators of Caputo type
• Controllability of fractional integrodifferential systems in Banach spaces
• Stability analysis of multi-point boundary value problem for sequential fractional differential equations with non-instantaneous impulses
• Connections between Hyers-Ulam stability and uniform exponential stability of 2-periodic linear nonautonomous systems
• Ulam's-type stability of first-order impulsive differential equations with variable delay in quasi-Banach spaces
• Ulam-type stability for a class of implicit fractional differential equations with non-instantaneous integral impulses and boundary condition
• Hyers-Ulam stability of non-autonomous systems in terms of boundedness of Cauchy problems
• Ulam stability for a delay differential equation
• Stability of integral Caputo-type boundary value problem with noninstantaneous impulses
• Ulam's type stability of higher order nonlinear delay differential equations via integral inequality of Grönwall-Bellman-Bihari's type
• Nontrivial solutions for an integral boundary value problem involving Riemann-Liouville fractional derivatives
• The convergence analysis and error estimation for unique solution of a \(p\)-Laplacian fractional differential equation with singular decreasing nonlinearity
• Ulam stability to a toppled systems of nonlinear implicit fractional order boundary value problem
• Existence and asymptotic analysis of positive solutions for a singular fractional differential equation with nonlocal boundary conditions
• On Ulam's stability for a coupled systems of nonlinear implicit fractional differential equations
• Existence, uniqueness and stability of solution to mixed integral dynamic systems with instantaneous and noninstantaneous impulses on time scales
• \(\beta\)-Hyers-Ulam-Rassias stability of semilinear nonautonomous impulsive system
• Positive solutions for a class of fractional difference systems with coupled boundary conditions
• Positive solutions for a system of first-order discrete fractional boundary value problems with semipositone nonlinearities
• Positive solutions for a system of fractional integral boundary value problems involving Hadamard-type fractional derivatives
• Stability analysis of nonlinear implicit fractional Langevin equation with noninstantaneous impulses
• A fixed point approach to the stability of a nonlinear volterra integrodifferential equation with delay
• Stability analysis of higher order nonlinear differential equations in β–normed spaces
• Existence and Hyers‐Ulam stability of fractional nonlinear impulsive switched coupled evolution equations
• Ulam-Hyers-Mittag-Leffler stability for nonlinear fractional neutral differential equations
• CONVERGENCE ANALYSIS OF ITERATIVE SCHEME AND ERROR ESTIMATION OF POSITIVE SOLUTION FOR A FRACTIONAL DIFFERENTIAL EQUATION
• Hyers–Ulam stability of nonlinear differential equations with fractional integrable impulses
• Basic Theory of Fractional Differential Equations
• INFINITELY MANY SOLUTIONS FOR FRACTIONAL SCHRÖDINGER-MAXWELL EQUATIONS
• POSITIVE SOLUTIONS FOR A NONLINEAR DISCRETE FRACTIONAL BOUNDARY VALUE PROBLEM WITH A <inline-formula><tex-math id="M1">$ P $</tex-math></inline-formula>-LAPLACIAN OPERATOR
• Positive solutions for boundary value problem of nonlinear fractional differential equation

This page was built for publication: Hyers-Ulam-Mittag-Leffler stability for a system of fractional neutral differential equations