Results 21 to 30 of about 3,197,328 (188)
Journal of Mathematics, 2020 We develop the multiwavelet Galerkin method to solve the Volterra–Fredholm integral equations. To this end, we represent the Volterra and Fredholm operators in multiwavelet bases.
H. Bin Jebreen
doaj +2 more sources
Advances in Difference Equations, 2017 In this paper, some explicit bounds on solutions to a class of new power nonlinear Volterra-Fredholm type dynamic integral inequalities on time scales are established, which can be used as effective tools in the study of certain dynamic equations ...
Jiangfeng Wang, Fanwei Meng, Juan Gu
doaj +2 more sources
Fixed point theorems for Geraghty-type mappings applied to solving nonlinear Volterra-Fredholm integral equations in modular G-metric spaces [PDF]
Arab Journal of Mathematical Sciences, 2021 Purpose – The authors prove the existence and uniqueness of fixed point of mappings satisfying Geraghty-type contractions in the setting of preordered modular G-metric spaces.
Godwin Amechi Okeke, Daniel Francis
doaj +1 more source
Newton-Krylov generalized minimal residual algorithm in solving nonlinear Volterra-Fredholm-Hammerstein integral equations [PDF]
Mathematics and Computational Sciences, 2021 In this paper, Galerkin and collocation methods based on shifted Legendre polynomials and spectral methods have been applied on nonlinear Volterra-Fredholm-Hammerstein (VFH) integral equations, these methods transfer the finding solution of a nonlinear ...
Ahmad Zavvartorbati
doaj +1 more source
On the numerical solutions for nonlinear Volterra-Fredholm integral equations
Boletim da Sociedade Paranaense de Matemática, 2022 In this note, we study a class of multistep collocation methods for the numerical integration of nonlinear Volterra-Fredholm Integral Equations (V-FIEs). The derived method is characterized by a lower triangular or diagonal coefficient matrix of the nonlinear system for the computation of the stages which, as it is known, can beexploited to get an ...
Darania, Parviz, Pishbin, Saeed
openaire +2 more sources
Fredholm and Volterra nonlinear possibilistic integral equations
, 2021 In this paper we study the nonlinear functional equations obtained from the classical integral equations of Fredholm and of Volterra of second kind, by replacing there the linear Lebesgue integral with the nonlinear possibilistic integral.
IANCU, Ionuț T., GAL, Sorin G.
core +1 more source
Existence of solutions of general nonlinear fuzzy Volterra‐Fredholm integral equations [PDF]
International Journal of Stochastic Analysis, 2005 We study the problem of existence and uniqueness of solutions of a class of nonlinear fuzzy Volterra‐Fredholm integral equations.
Balachandran, K., Kanagarajan, K.
openaire +2 more sources
Volterra integral equations and fractional calculus: Do neighbouring solutions intersect? [PDF]
, 2012 This is the author's PDF version of an article published in Journal of Integral Equations and Applications. The definitive version is available at rmmc.asu.edu/jie/jie.html.This journal article considers the question of whether or not the solutions to ...
Diethelm, Kai, Ford, Neville J.
core +1 more source
Approximate Optimal Control of Volterra-Fredholm Integral Equations Based on Parametrization and Variational Iteration Method [PDF]
, 2021 This article presents appropriate hybrid methods to solve optimal control problems ruled by Volterra-Fredholm integral equations. The techniques are grounded on variational iteration together with a shooting method like procedure and parametrization ...
Alipour, Maryam, Vali, Mohammad Ali
core +1 more source
Algorithms, 2022 In this paper, a direct operator method is presented for the exact closed-form solution of certain classes of linear and nonlinear integral Volterra–Fredholm equations of the second kind.
Efthimios Providas
doaj +1 more source