Results 151 to 160 of about 5,086 (192)

Hybrid fixed point theorems of graphic contractions with applications. [PDF]

open access: yesHeliyon
Jiddah JA   +4 more
europepmc   +1 more source

Exploration of Ulam-Hyers stability for a system of fractional integro

open access: yesSigma Journal of Engineering and Natural Sciences – Sigma Mühendislik ve Fen Bilimleri Dergisi
openaire   +1 more source

Ulam–Hyers stability of a nonlinear fractional Volterra integro-differential equation

open access: yesApplied Mathematics Letters, 2018
Using the $ψ-$Hilfer fractional derivative, we present a study of the Hyers-Ulam-Rassias stability and the Hyers-Ulam stability of the fractional Volterra integral-differential equation by means of fixed-point method.
J Vanterler da C Sousa   +1 more
exaly   +3 more sources

Ulam–Hyers stability of fractional Langevin equations

Applied Mathematics and Computation, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jin Rong Wang 0001, Xuezhu Li
openaire   +1 more source

Ulam‐Hyers‐Rassias stability for generalized fractional differential equations

Mathematical Methods in the Applied Sciences, 2021
In this paper, we present a generalized Gronwall inequality with singularity. Using this inequality, we investigate the existence, uniqueness, and Ulam‐Hyers‐Rassias stability for solutions of a class of generalized nonlinear fractional differential equations of order α (1 < α < 2). In this way, we improve and generalize several earlier outcomes.
Djalal Boucenna   +3 more
openaire   +2 more sources

Ulam–Hyers stability of pantograph fractional stochastic differential equations

Mathematical Methods in the Applied Sciences, 2022
In this paper, we investigate the existence and uniqueness theorem (EUT) of Pantograph fractional stochastic differential equations (PFSDE) using the Banach fixed point theorem (BFPT). We show the Ulam–Hyers stability (UHS) of PFSDE by the generalized Gronwall inequalities (GGI). We illustrate our results by two examples.
Lassaad Mchiri   +2 more
openaire   +1 more source

Ulam‐Hyers stability of Caputo fractional difference equations

Mathematical Methods in the Applied Sciences, 2019
We study the Ulam‐Hyers stability of linear and nonlinear nabla fractional Caputo difference equations on finite intervals. Our main tool used is a recently established generalized Gronwall inequality, which allows us to give some Ulam‐Hyers stability results of discrete fractional Caputo equations.
Churong Chen, Martin Bohner, Baoguo Jia
openaire   +2 more sources

An investigation into the characteristics of VFIDEs with delay: solvability criteria, Ulam–Hyers–Rassias and Ulam–Hyers stability

The Journal of Analysis
The authors analyze an integro-differential equation of Volterra-Fredholm type with delay. The Banach contraction principle is used to deduce sufficient conditions for the existence and uniqueness of the solution, as well as to study Ulam-Hyers-Rassias and Ulam-Hyers stabilities.
Bapan Ali Miah   +4 more
openaire   +2 more sources

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