Hyers-Ulam stability of a coupled system of fractional differential equations of Hilfer-Hadamard type
type: Item
instance of: scholarly article
title: Hyers-Ulam stability of a coupled system of fractional differential equations of Hilfer-Hadamard type
zbMATH Open document ID: 1431.34004
author: Akbar Zada
author: Mansoor Ahmad
author: J. O. Alzabut
published in: Demonstratio Mathematica
publication date: 2019-11-04T00:00:00Z
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 34B15
Mathematics Subject Classification ID: 34D10
Mathematics Subject Classification ID: 47N20
zbMATH DE Number: 7126077
zbMATH Keywords: Hilfer-Hadamard type fractional differential equations
zbMATH Keywords: Kransnoselskii's fixed point theorem
zbMATH Keywords: implicit switched coupled systems
zbMATH Keywords: Hyers-Ulam stability
MaRDI profile type: Publication
full work available at URL: dema-2019-0024
OpenAlex ID: W2974887107
cites work: Existence of fractional neutral functional differential equations
cites work: Analysis of implicit type nonlinear dynamical problem of impulsive fractional differential equations
cites work: On Ulam's stability for a coupled systems of nonlinear implicit fractional differential equations
cites work: Q5699297
cites work: Fractional differential equations in electrochemistry
cites work: Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
cites work: Stability analysis of nonlinear implicit fractional Langevin equation with noninstantaneous impulses
cites work: Stability analysis of multi-point boundary value problem for sequential fractional differential equations with non-instantaneous impulses
cites work: Stability of integral Caputo-type boundary value problem with noninstantaneous impulses
cites work: Ulam-type stability for a class of implicit fractional differential equations with non-instantaneous integral impulses and boundary condition
cites work: Existence and stability analysis of nonlinear sequential coupled system of Caputo fractional differential equations with integral boundary conditions
cites work: On Riemann‐Liouville fractional q–difference equations and their application to retarded logistic type model
cites work: Iterative learning control with pulse compensation for fractional differential systems
cites work: Learning formation control for fractional‐order multiagent systems
cites work: Topological structure of the solution set for fractional non-instantaneous impulsive evolution inclusions
cites work: Positive solutions for a nonlocal fractional differential equation
cites work: Nontrivial solutions for a fractional advection dispersion equation in anomalous diffusion
cites work: Local and global existence of mild solutions for a class of nonlinear fractional reaction-diffusion equations with delay
cites work: Numerical analysis for Navier-Stokes equations with time fractional derivatives
cites work: On nonlocal integral and derivative boundary value problem of nonlinear Hadamard Langevin equation with three different fractional orders
cites work: Ulam stability to a toppled systems of nonlinear implicit fractional order boundary value problem
cites work: Connections between Hyers-Ulam stability and uniform exponential stability of discrete evolution families of bounded linear operators over Banach spaces
cites work: Hyers stability of the linear differential equation
cites work: A fixed point approach to the stability of a nonlinear volterra integrodifferential equation with delay
cites work: Stability analysis of the first order non-linear impulsive time varying delay dynamic system on time scales
cites work: Q3259049
cites work: Ulam stability and data dependence for fractional differential equations with Caputo derivative
cites work: Ulam's-type stability of first-order impulsive differential equations with variable delay in quasi-Banach spaces
cites work: \(\beta\)-Hyers-Ulam-Rassias stability of semilinear nonautonomous impulsive system
cites work: Fixed-point results and the Hyers-Ulam stability of linear equations of higher orders
cites work: Hyers–Ulam stability of nonlinear differential equations with fractional integrable impulses
cites work: Ulam's type stability of higher order nonlinear delay differential equations via integral inequality of Grönwall-Bellman-Bihari's type
cites work: Connections between Hyers-Ulam stability and uniform exponential stability of 2-periodic linear nonautonomous systems
cites work: Hyers-Ulam stability of impulsive integral equations
cites work: Q5154535
cites work: Hyers-Ulam stability of non-autonomous systems in terms of boundedness of Cauchy problems
cites work: Stability analysis of higher order nonlinear differential equations in β–normed spaces
cites work: Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type
cites work: Applications of fractional calculus in physics
cites work: Existence and Hyers‐Ulam stability of fractional nonlinear impulsive switched coupled evolution equations
cites work: Q5409506
cites work: Existence and uniqueness for a problem involving hilfer fractional derivative
cites work: On fractional Cauchy-type problems containing Hilfer's derivative
cites work: On the Stability of the Linear Mapping in Banach Spaces
cites work: Q3590293
cites work: Fractional and operational calculus with generalized fractional derivative operators and Mittag–Leffler type functions
cites work: Nonlocal initial value problems for differential equations with Hilfer fractional derivative
cites work: A general method for the Ulam stability of linear differential equations
cites work: The existence and Hyers-Ulam stability of solution for an impulsive Riemann-Liouville fractional neutral functional stochastic differential equation with infinite delay of order \(1<\beta<2\)
cites work: Q5414406
Wikidata QID: Q127226681
DOI: 10.1515/DEMA-2019-0024
Recommended article: Q5205647
Recommended article: Hyers-Ulam stability for a coupled system of fractional differential equation with \(p\)-Laplacian operator having integral boundary conditions
Recommended article: Existence and Hyers-Ulam type stability results for nonlinear coupled system of Caputo-Hadamard type fractional differential equations
Recommended article: Hyers-Ulam stability of a class of fractional linear differential equations
Recommended article: Existence and Hyers-Ulam stability of solutions to a nonlinear implicit coupled system of fractional order
Recommended article: Hyers-Ulam-Mittag-Leffler stability for a system of fractional neutral differential equations
Recommended article: Existence and Hyers-Ulam stability results for nonlinear fractional systems with coupled nonlocal initial conditions

Hyers-Ulam stability of a coupled system of fractional differential equations of Hilfer-Hadamard type (Recommended article)
Recommended article: Q5096524
Similarity Score: 0.9409574
Recommender Run: Recommender Run 3

Hyers-Ulam stability of a coupled system of fractional differential equations of Hilfer-Hadamard type (Recommended article)
Recommended article: Existence of solution and Hyers-Ulam stability for a coupled system of fractional differential equations with p-Laplacian operator
Similarity Score: 0.94095373
Recommender Run: Recommender Run 3

Hyers-Ulam stability of a coupled system of fractional differential equations of Hilfer-Hadamard type (Recommended article)
Recommended article: Hyers-Ulam stability and existence criteria for coupled fractional differential equations involving \(p\)-Laplacian operator
Similarity Score: 0.9397465
Recommender Run: Recommender Run 3