Collocation methods for Volterra integral and integro-differential equations: A review

A Cardone, D Conte, R D'Ambrosio, B Paternoster - axioms, 2018 - mdpi.com
We present a collection of recent results on the numerical approximation of Volterra integral
equations and integro-differential equations by means of collocation type methods, which …

Hyers‐Ulam‐Rassias stability of nonlinear integral equations through the Bielecki metric

LP Castro, AM Simões - Mathematical Methods in the Applied …, 2018 - Wiley Online Library
We analyse different kinds of stabilities for classes of nonlinear integral equations of
Fredholm and Volterra type. Sufficient conditions are obtained in order to guarantee Hyers …

[HTML][HTML] Hyers–Ulam stability of impulsive integral equations

A Zada, U Riaz, FU Khan - Bollettino dell'Unione Matematica Italiana, 2019 - Springer
In this manuscript, first we study the Hyers–Ulam stability of linear impulsive Volterra integral
equations with the help of open mapping theorem approach. Then we give an existence and …

Ulam stabilities for nonlinear Volterra delay integro-differential equations

KD Kucche, PU Shikhare - Journal of Contemporary Mathematical Analysis …, 2019 - Springer
The present paper is devoted to the study of existence and uniqueness of a solution and
Ulam type stabilities for Volterra delay integro-differential equations on a finite interval. Our …

Stability of a nonlinear Volterra integro-differential equation via a fixed point approach

S Şevgin, H Şevli - Journal of Nonlinear Science and …, 2016 - avesis.ticaret.edu.tr
Stability of a nonlinear Volterra integro-differential equation via a fixed point approach Page 1
Available online at www.tjnsa.com J. Nonlinear Sci. Appl. 9 (2016), 200–207 Research Article …

[PDF][PDF] On existence and stability results for nonlinear fractional delay differential equations

KD Kucche, ST Sutar - Bol. Soc. Parana. Mat, 2018 - vivekanandcollege.ac.in
Kishor D. Kucche and Sagar T. Sutar abstract: We establish existence and uniqueness
results for fractional order delay differential equations. It is proved that successive …

[PDF][PDF] Hyers-Ulam and Hyers-Ulam-Rassias stability of nonlinear integral equations with delay

JR Morales, EM Rojas - International Journal of Nonlinear …, 2011 - ijnaa.semnan.ac.ir
HYERS-ULAM AND HYERS-ULAM-RASSIAS STABILITY OF NONLINEAR INTEGRAL
EQUATIONS WITH DELAY 1. Introduction Volterra integral equatio Page 1 Int. J. Nonlinear …

[HTML][HTML] On approximate solutions of some delayed fractional differential equations

J Brzdęk, N Eghbali - Applied Mathematics Letters, 2016 - Elsevier
In this paper we propose an approach to Ulam's stability of some fractional differential
equations with a delay. In particular, we show that, under suitable assumptions, every …

Ulam–Hyers stability of integrodifferential equations in Banach spaces via Pachpatte's inequality

KD Kucche, PU Shikhare - Asian-European Journal of Mathematics, 2018 - World Scientific
In this paper, Pachpatte's inequality is employed to discuss the Ulam–Hyers stabilities for
Volterra integrodifferential equations and Volterra delay integrodifferential equations in …

Hyers-Ulam stability of a certain Fredholm integral equation

A Simões, P Selvan - Turkish Journal of Mathematics, 2022 - journals.tubitak.gov.tr
In this paper, by using fixed point theorem we establish the Hyers-Ulam stability and Hyers-
Ulam-Rassias stability of certain homogeneous Fredholm Integral equation of the second …