Collocation methods for Volterra integral and integro-differential equations: A review
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 …
equations and integro-differential equations by means of collocation type methods, which …
Hyers‐Ulam‐Rassias stability of nonlinear integral equations through the Bielecki metric
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 …
Fredholm and Volterra type. Sufficient conditions are obtained in order to guarantee Hyers …
[HTML][HTML] Hyers–Ulam stability of impulsive integral equations
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 …
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 …
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
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 …
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
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 …
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 …
EQUATIONS WITH DELAY 1. Introduction Volterra integral equatio Page 1 Int. J. Nonlinear …
[HTML][HTML] On approximate solutions of some delayed fractional differential equations
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 …
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 …
Volterra integrodifferential equations and Volterra delay integrodifferential equations in …
Hyers-Ulam stability of a certain Fredholm integral equation
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 …
Ulam-Rassias stability of certain homogeneous Fredholm Integral equation of the second …