Results 91 to 100 of about 1,861 (181)

On the Stability of Nonautonomous Linear Impulsive Differential Equations

Journal of Function Spaces and Applications, 2013
We introduce two Ulam's type stability concepts for nonautonomous linear impulsive ordinary differential equations. Ulam-Hyers and Ulam-Hyers-Rassias stability results on compact and unbounded intervals are presented, respectively.
JinRong Wang, Xuezhu Li
doaj   +1 more source

Generalized Ulam-Hyers-Rassias stability and novel sustainable techniques for dynamical analysis of global warming impact on ecosystem. [PDF]

Sci Rep, 2023
Farman M, Shehzad A, Nisar KS, Hincal E, Akgul A, Hassan AM.   +5 more
europepmc   +1 more source

Existence and Ulam stability for fractional differential equations of Hilfer-Hadamard type

Advances in Difference Equations, 2017
This article deals with some existence and Ulam-Hyers-Rassias stability results for a class of functional differential equations involving the Hilfer-Hadamard fractional derivative.
S Abbas, M Benchohra, JE Lagreg, A Alsaedi, Y Zhou   +4 more
doaj   +1 more source

On Approximation Solutions of the Cauchy-Jensen and the Additive-Quadratic Functional Equation in Paranormed Spaces

International Journal of Analysis and Applications, 2019
In this paper, we prove the generalized Hyers-Ulam-Rassias stability of the bi-Cauchy-Jensen functional equation and the bi-additive-quadratic functional equation in paranormed spaces.
Prondanai Kaskasem, Chakkrid Klin-eam
doaj   +2 more sources

Solvability and Ulam–Hyers–Rassias stability for generalized sequential quantum fractional pantograph equations

Partial Differential Equations in Applied Mathematics
In the present manuscript, we discuss the existence, uniqueness an Ulam-stability of solutions for sequential fractional pantograph equations involving n Caputo and one Riemann–Liouville q−fractional derivatives. We prove the uniqueness of solutions for the given problem by using Banach’s contraction mapping principle.
Mohamed Houas, Mohammad Esmael Samei
openaire   +3 more sources

Existence and stability of mixed type Hilfer fractional differential equations with impulses and time delay

Results in Applied Mathematics
In this paper, we consider a class of mixed type Hilfer fractional differential equations with noninstantaneous impulses, nonlocal conditions and time delay.
Baoyan Han, Bo Zhu
doaj   +1 more source

Note on the solution of random differential equations via ψ-Hilfer fractional derivative

Advances in Difference Equations, 2018
This manuscript is devoted to an investigation of the existence, uniqueness and stability of random differential equations with ψ-Hilfer fractional derivative.
S. Harikrishnan, Kamal Shah, Dumitru Baleanu, K. Kanagarajan   +3 more
doaj   +1 more source

Existence and Stability Results for a Fractional Order Differential Equation with Non-Conjugate Riemann-Stieltjes Integro-Multipoint Boundary Conditions

Mathematics, 2019
We discuss the existence and uniqueness of solutions for a Caputo-type fractional order boundary value problem equipped with non-conjugate Riemann-Stieltjes integro-multipoint boundary conditions on an arbitrary domain.
Bashir Ahmad, Ymnah Alruwaily, Ahmed Alsaedi, Sotiris K. Ntouyas   +3 more
doaj   +1 more source

A Fixed Point Problem for a Hybrid Contraction and Ulam–Hyers–Rassias Stability Result with Respect to w-Distance

Vestnik St. Petersburg University, Mathematics
In the present research, we consider a fixed point problem pertaining to a hybrid multivalued contractive mapping constructed by putting together the ideas behind the two well known families of contractions known as Geraghty and Kannan type contractions respectively.
Choudhury, Binayak S., Chakraborty, Priyam   +1 more
openaire   +2 more sources

Stability in the Sense of Hyers–Ulam–Rassias for the Impulsive Volterra Equation

Fractal and Fractional
This article aims to use various fixed-point techniques to study the stability issue of the impulsive Volterra integral equation in the sense of Ulam–Hyers (sometimes known as Hyers–Ulam) and Hyers–Ulam–Rassias.
El-sayed El-hady, Süleyman Öğrekçi, Tania A. Lazăr, Vasile L. Lazăr   +3 more
doaj   +1 more source