Results 31 to 40 of about 755 (165)

Existence of solutions for a class of nonlinear Volterra integro-dynamic equations on time scales [PDF]

open access: yesArab Journal of Mathematical Sciences
PurposeThis paper encompasses recent developments on a class of nonlinear Volterra integro-dynamic equations on arbitrary time scales. More precisely, we provide some conditions under which the considered equations have at least one, at least two and at ...
Svetlin Georgiev, Youssef N. Raffoul
doaj   +1 more source

The Existence and Uniqueness of the Solution of a Nonlinear Fredholm–Volterra Integral Equation with Modified Argument via Geraghty Contractions

open access: yesMathematics, 2020
Using some of the extended fixed point results for Geraghty contractions in b-metric spaces given by Faraji, Savić and Radenović and their idea to apply these results to nonlinear integral equations, in this paper we present some existence and uniqueness
Maria Dobriţoiu
doaj   +1 more source

Nonlinear Volterra integral equations with positive definite kernels [PDF]

open access: yesProceedings of the American Mathematical Society, 1975
Conditions are given for the asymptotic stability of the solution of a nonlinear Volterra integro-differential equation with convolution kernel. These conditions are less restrictive than most of the known ones for this equation.
openaire   +1 more source

On the Wavelet Collocation Method for Solving Fractional Fredholm Integro-Differential Equations

open access: yesMathematics, 2022
An efficient algorithm is proposed to find an approximate solution via the wavelet collocation method for the fractional Fredholm integro-differential equations (FFIDEs).
Haifa Bin Jebreen, Ioannis Dassios
doaj   +1 more source

Existence and Uniqueness of Generalised Fractional Cauchy-Type Problem

open access: yesUniversal Journal of Mathematics and Applications, 2020
In this paper, we study the existence and uniqueness of Generalized Fractional Cauchy-type problem involving Hilfer-Hadamard-type fractional derivative for a nonlinear fractional differential equation.
Ahmad Y. A. Salamoonı, D.d. Pawar
doaj   +1 more source

Nonconvolution nonlinear integral volterra equations with monotone operators

open access: yesComputers & Mathematics with Applications, 2005
Some results about existence, uniqueness, and attractive behaviour of solutions for nonlinear Volterra integral equations with non-convolution kernels are presented in this paper. These results are based on similar ones about nonlinear Volterra integral equations with convolution kernels and some comparison techniques.
Arias, M.R., Benítez, R., Bolós, V.J.
openaire   +3 more sources

Numerical Solutions of a Class of Nonlinear Volterra Integral Equations

open access: yesAbstract and Applied Analysis, 2014
We consider numerical solutions of a class of nonlinear (nonstandard) Volterra integral equations. We first prove the existence and uniqueness of the solution of the Volterra integral equation in the context of the space of continuous functions over a ...
H. S. Malindzisa, M. Khumalo
doaj   +1 more source

On a nonlinear Volterra integral equation

open access: yesJournal of Differential Equations, 1973
Also note the comments. made on (1.1) in [2]. More recently Eq. (1.1) has been analyzed in [I and 31 under hypotheses related to those of Theorem I. Comparing the present result with the results of [3] we observe the following. In addition to the full hypothesis of Theorem 1 above, certain smoothness conditions were imposed on a(t) and f(i) in [3 ...
openaire   +1 more source

Nonlinear Two-Phase Stefan Problem [PDF]

open access: yesJournal of Sciences, Islamic Republic of Iran, 2007
In this paper we consider a nonlinear two-phase Stefan problem in one-dimensional space. The problem is mapped into a nonlinear Volterra integral equation for the free boundary.
K. Ivaz
doaj  

Three-Dimensional Nonlinear Integral Operator with the Modelling of Majorant Function

open access: yesمجلة بغداد للعلوم, 2021
In this paper, the process for finding an approximate solution of nonlinear three-dimensional (3D) Volterra type integral operator equation (N3D-VIOE) in R3 is introduced.
Hameed Husam Hameed, Hayder M Al-Saedi
doaj   +1 more source

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