Results 101 to 110 of about 2,732 (205)

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

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

Hyers–Ulam–Rassias stability of homomorphisms in quasi-Banach algebras

, 2008
In this paper, we prove the Hyers–Ulam–Rassias stability of homomorphisms in quasi-Banach algebras.
Park, Choonkil
core   +1 more source

Hyers-Ulam and Hyers-Ulam-Aoki-Rassias Stability for Linear Ordinary Differential Equations

, 2015
Here we prove the Hyers-Ulam stability and Hyers-Ulam-Aoki-Rassias stability of the n-th order ordinary linear differential equation with smooth coefficients on compact and semi-bounded intervals using successive integration by parts ...
Mohapatra, A. N.
core   +1 more source

Different types of Hyers-Ulam-Rassias stabilities for a class of integro-differential equations [PDF]

, 2017
We study different kinds of stabilities for a class of very general nonlinear integro-differential equations involving a function which depends on the solutions of the integro-differential equations and on an integral of Volterra type.
L.P. Castro, Castro, L. P., Simões, A. M., A.M. Simões   +3 more
core   +1 more source

Hyers-Ulam-Rassias Stability for Abel-Riccati Type First-Order Differential Equations

, 2019
This paper examines Hyers-Ulam (HU), Hyers-Ulam-Rassias (HUR) and HyersUlam-Rassias-Gavruta (HURG) stability of the first-order differential equation including Bernoulli's, Riccati and Abel with given initial ...
Mısır, Adil, Ogrekci, S., Misir, A., Başcı, Yasemin, Suleyman ÖGREKCI, Öğrekçi, Süleyman, Yasemin BASCI, Basci, Y., Adil MISIR   +8 more
core   +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

On the Hyers-Ulam Stability of a System of Euler Dierential Equations of First Order

, 2016
[[abstract]]In this paper, we prove the Hyers-Ulam stability of a special type of systems of Euler dierential equations of rst ...
Byungbae Kim, Themistocles M. Rassias, Soon-Mo Jung   +2 more
core  

Hyers-Ulam-Rassias stability of generalized module left (m,n)-derivations [PDF]

, 2013
The generalized Hyers-Ulam-Rassias stability of generalized module left ▫$(m,n)$▫-derivations on a normed algebra ▫$mathcal{A}$▫ into a Banach left ▫$mathcal{A}$▫-module is established.V članku je obravnavana Hyers-Ulam-Rassias stabilnost posplošenih ...
Fošner, Ajda, Ajda Fošner
core   +1 more source

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