Results 1 to 10 of about 893 (205)

Generalized Hyers-Ulam Stability of the Second-Order Linear Differential Equations [PDF]

Journal of Applied Mathematics, 2011
We prove the generalized Hyers-Ulam stability of the 2nd-order linear differential equation of the form 𝑦+𝑝(𝑥)𝑦+𝑞(𝑥)𝑦=𝑓(𝑥), with condition that there exists a nonzero 𝑦1∶𝐼→𝑋 in 𝐶2(𝐼) such that 𝑦1+𝑝(𝑥)𝑦1+𝑞(𝑥)𝑦1=0 and 𝐼 is an open interval.
A. Javadian, E. Sorouri, G. H. Kim, M. Eshaghi Gordji   +3 more
doaj   +5 more sources

Stability analysis and solutions of fractional boundary value problem on the cyclopentasilane graph [PDF]

Heliyon
The study is being applied to a model involving silane and on cyclopentasilane graph. We consider a graph with labeled vertices by 0 or 1 inspired by the molecular structure of cyclopentasilane. In this paper, we first study the existence of solutions to
Guotao Wang, Hualei Yuan, Dumitru Baleanu   +2 more
doaj   +2 more sources

Generalized β-Hyers-Ulam-Rassias Stability of Impulsive Difference Equations. [PDF]

Comput Intell Neurosci, 2022
Almalki Y, Rahmat G, Ullah A, Shehryar F, Numan M, Ali MU.   +5 more
europepmc   +3 more sources

A coupled system of p-Laplacian implicit fractional differential equations depending on boundary conditions of integral type

AIMS Mathematics, 2023
The objective of this article is to investigate a coupled implicit Caputo fractional $ p $-Laplacian system, depending on boundary conditions of integral type, by the substitution method.
Dongming Nie, Usman Riaz, Sumbel Begum, Akbar Zada   +3 more
doaj   +1 more source

On the stability of first order impulsive evolution equations [PDF]

Opuscula Mathematica, 2014
In this paper, concepts of Ulam-Hyers stability, generalized Ulam-Hyers stability, Ulam-Hyers-Rassias stability and generalized Ulam-Hyers-Rassias stability for impulsive evolution equations are raised.
JinRong Wang, Michal Fečkan, Yong Zhou
doaj   +1 more source

Mixed nonlocal boundary value problem for implicit fractional integro-differential equations via ψ-Hilfer fractional derivative

Advances in Difference Equations, 2021
In this paper, we investigate the existence and uniqueness of a solution for a class of ψ-Hilfer implicit fractional integro-differential equations with mixed nonlocal conditions.
Chatthai Thaiprayoon, Weerawat Sudsutad, Sotiris K. Ntouyas   +2 more
doaj   +1 more source

Existence, uniqueness and Ulam's stabilities for a class of implicit impulsive Langevin equation with Hilfer fractional derivatives

AIMS Mathematics, 2021
In this manuscript, a class of implicit impulsive Langevin equation with Hilfer fractional derivatives is considered. Using the techniques of nonlinear functional analysis, we establish appropriate conditions and results to discuss existence, uniqueness,
Xiaoming Wang, Rizwan Rizwan , Jung Rey Lee, Akbar Zada , Syed Omar Shah   +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

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

Ulam-Type Stability for a Boundary-Value Problem for Multi-Term Delay Fractional Differential Equations of Caputo Type

Axioms, 2022
A boundary-value problem for a couple of scalar nonlinear differential equations with a delay and several generalized proportional Caputo fractional derivatives is studied. Ulam-type stability of the given problem is investigated.
Ravi P. Agarwal, Snezhana Hristova
doaj   +1 more source