Results 41 to 50 of about 11,444 (271)

Hyers–Ulam stability of Euler’s equation

Applied Mathematics Letters, 2011
AbstractWe prove that Euler’s equation x1∂u∂x1+x2∂u∂x2+⋯+xn∂u∂xn=αu, characterising homogeneous functions, is stable in Hyers–Ulam sense if and only if α∈R∖{0}.
Dalia Sabina Cimpean, Dorian Popa
openaire   +1 more source

Hyers–Ulam and Hyers–Ulam–Rassias Stability of First-Order Nonlinear Dynamic Equations

Qualitative Theory of Dynamical Systems, 2021
We present several new sufficient conditions for Hyers-Ulam and Hyers-Ulam-Rassias stability of first-order linear dynamic equations for functions defined on a time scale with values in a Banach space.
Maryam A. Alghamdi, Mymonah Alharbi, Martin Bohner, Alaa E. Hamza   +3 more
openaire   +3 more sources

Stability analysis for a class of implicit fractional differential equations involving Atangana–Baleanu fractional derivative

Advances in Difference Equations, 2021
Some fundamental conditions and hypotheses are established to ensure the existence, uniqueness, and stability to a class of implicit boundary value problems (BVPs) with Atangana–Baleanu–Caputo type derivative and integral.
Asma, Sana Shabbir, Kamal Shah, Thabet Abdeljawad   +3 more
doaj   +1 more source

On existence and stability results to a class of boundary value problems under Mittag-Leffler power law

Advances in Difference Equations, 2020
Some essential conditions for existence theory and stability analysis to a class of boundary value problems of fractional delay differential equations involving Atangana–Baleanu-Caputo derivative are established. The deserted results are derived by using
Gauhar Ali, Kamal Shah, Thabet Abdeljawad, Hasib Khan, Ghaus Ur Rahman, Aziz Khan   +5 more
doaj   +1 more source

Practical Ulam-Hyers-Rassias stability for nonlinear equations [PDF]

Mathematica Bohemica, 2017
In this paper, we offer a new stability concept, practical Ulam-Hyers-Rassias stability, for nonlinear equations in Banach spaces, which consists in a restriction of Ulam-Hyers-Rassias stability to bounded subsets.
Jin Rong Wang, Michal Fečkan
doaj   +1 more source

Ulam-type stability for a class of implicit fractional differential equations with non-instantaneous integral impulses and boundary condition

Advances in Difference Equations, 2017
In this paper, we investigate four different types of Ulam stability, i.e., Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for a class of nonlinear implicit fractional ...
Akbar Zada, Sartaj Ali, Yongjin Li
doaj   +1 more source

Hyers–Ulam stability of derivations and linear functions [PDF]

Aequationes mathematicae, 2010
9 pages; published in Aequationes Mathematicae in ...
Boros, Zoltán, Gselmann, Eszter
openaire   +4 more sources

Mahgoub transform and Hyers-Ulam stability of first-order linear differential equations

Journal of Mathematical Inequalities, 2021
The main aim of this paper is to investigate various types of Hyers-Ulam stability of linear differential equations of first order with constant coefficients using the Mahgoub transform method.
Soon-Mo Jung, P. S. Arumugam, Murali Ramdoss   +2 more
semanticscholar   +1 more source

Existence and Stability of Implicit Fractional Differential Equations with Stieltjes Boundary Conditions Involving Hadamard Derivatives

Complexity, 2021
In this article, we make analysis of the implicit fractional differential equations involving integral boundary conditions associated with Stieltjes integral and its corresponding coupled system. We use some sufficient conditions to achieve the existence
Danfeng Luo, Mehboob Alam, Akbar Zada, Usman Riaz, Zhiguo Luo   +4 more
doaj   +1 more source

Existence and stability results for ψ-Hilfer fractional integro-differential equation with mixed nonlocal boundary conditions

AIMS Mathematics, 2021
In this paper, we discuss the existence, uniqueness and stability of boundary value problems for $\psi$-Hilfer fractional integro-differential equations with mixed nonlocal (multi-point, fractional derivative multi-order and fractional integral ...
Weerawat Sudsutad, Chatthai Thaiprayoon, Sotiris K. Ntouyas   +2 more
doaj   +1 more source