Results 51 to 60 of about 23,350 (203)

A novel approach to nonlinear fractional volterra integral equations

Acta Polytechnica
Nonlinear Fractional Volterra integral equations (FVIEs) of the first kind present challenges due to their intricate nature, combining fractional calculus and integral equations.
Mohammed Abdulshareef Hussein, Hassan Kamil Jassim   +1 more
doaj   +1 more source

Penyelesaian Sistem Persamaan Integral Volterra dengan Metoda Dekomposisi Adomian [PDF]

, 2014
This article discusses the construction of the systems of Volterra integral equations from extended Lane-Emden equation. The system of Volterra integral equations of the settlement is determined by using the Adomian Decomposition Method.
Lily, E. (Endang), Natsir, M. (M), Zerlan, O. (Okmi)   +2 more
core  

Some new retarded nonlinear Volterra-Fredholm type integral inequalities with maxima in two variables and their applications

Journal of Inequalities and Applications, 2017
In this paper, we establish some new retarded nonlinear Volterra-Fredholm type integral inequalities with maxima in two independent variables, and we present the applications to research the boundedness of solutions to retarded nonlinear Volterra ...
Run Xu, Xiangting Ma
doaj   +1 more source

Solution of fuzzy singular integral equation with Abel’s type kernel using a novel hybrid method

Advances in Difference Equations, 2020
In this paper, we are applying a novel analytical hybrid method to find the solution of a fuzzy Volterra Abel’s integral equation of the second kind. The fuzzy number is used in its parametric form under which the fuzzy Volterra Abel’s integral equation ...
S. Bushnaq, Z. Ullah, A. Ullah, K. Shah
doaj   +1 more source

Lavrentiev Regularization of Integral Equations of the First Kind in the Space of Continuous Functions

Известия Иркутского государственного университета: Серия "Математика", 2016
The regularization method of linear integral Volterra equations of the first kind is considered. The method is based on the perturbation theory. In order to derive the estimates of approximate solutions and regularizing operator norms we use the Banach ...
I. Muftahov, D. Sidorov, N. Sidorov
doaj  

Convergence analysis of product integration method for nonlinear weakly singular Volterra-Fredholm integral equations [PDF]

Sahand Communications in Mathematical Analysis, 2015
In this paper, we studied the numerical solution of nonlinear weakly singular Volterra-Fredholm integral equations by using the product integration method. Also, we shall study the convergence behavior of a fully discrete version of a product integration
Parviz Darania, Jafar Ahmadi Shali
doaj  

Dynamic inverse problem in a weakly laterally inhomogeneous medium [PDF]

, 2005
An inverse problem of wave propagation into a weakly laterally inhomogeneous medium occupying a half-space is considered in the acoustic approximation. The half-space consists of an upper layer and a semi-infinite bottom separated with an interface.
Blagovestchenskii, A. S., Kurylev, Y., Zalipaev, V.   +2 more
core   +2 more sources

Fredholm‐Volterra integral equation with potential kernel [PDF]

International Journal of Mathematics and Mathematical Sciences, 2001
A method is used to solve the Fredholm‐Volterra integral equation of the first kind in the space L2(Ω) × C(0, T), , z = 0, and T < ∞. The kernel of the Fredholm integral term considered in the generalized potential form belongs to the class C([Ω] × [Ω]), while the kernel of Volterra integral term is a positive and continuous function that belongs to
M. A. Abdou, Alaa A. El-Bary
openaire   +4 more sources

A general framework for invasion cycles in ecology

Ecology, Volume 107, Issue 4, April 2026.
Abstract Theory predicts that indirect interactions in ecological networks sustain species diversity through oscillatory dynamics. However, a framework linking interaction structure to the presence, type, and complexity of these cycles is lacking. Here, we develop an analytical toolbox combining invasion graphs with a mathematical decomposition of ...
Violeta Calleja‐Solanas, Rafael O. Moura, José A. Langa, José R. Portillo, Fernando Soler‐Toscano, Oscar Godoy   +5 more
wiley   +1 more source

Numerical solution of nonlinear Volterra–Fredholm integral equations using hybrid of block-pulse functions and Taylor series

Alexandria Engineering Journal, 2013
A numerical method based on an NM-set of general, hybrid of block-pulse function and Taylor series (HBT), is proposed to approximate the solution of nonlinear Volterra–Fredholm integral equations. The properties of HBT are first presented.
Farshid Mirzaee, Ali Akbar Hoseini
doaj   +1 more source