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
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Fredholm and Volterra nonlinear possibilistic integral equations [PDF]
, 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.
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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
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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
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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
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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.
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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.
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Polynomial Least Squares Method for the Solution of Nonlinear Volterra‐Fredholm Integral Equations [PDF]
Mathematical Problems in Engineering, 2014 The present paper presents the application of the polynomial least squares method to nonlinear integral equations of the mixed Volterra‐Fredholm type. For this type of equations, accurate approximate polynomial solutions are obtained in a straightforward manner and numerical examples are given to illustrate the validity and the applicability of the ...
Bogdan Căruntu, Constantin Bota
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Inverse problem for a Fredholm third order partial integro-differential equation
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2014 The solvability of various problems for partial differential equations of the third order is researched in many papers. But, partial Fredholm integro-differential equations of the third order are studied comparatively less. Integro-differential equations
Tursun K Yuldashev
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Solving Nonlinear Volterra-Fredholm Integral Equations using an Accurate Spectral Collocation Method [PDF]
Tatra Mountains Mathematical Publications, 2021 Abstract In this paper, we present a Jacobi spectral collocation method to solve nonlinear Volterra-Fredholm integral equations with smooth kernels. The main idea in this approach is to convert the original problem into an equivalent one through appropriate variable transformations so that the resulting equation ...
Hamani, Fatima, Rahmoune, Azedine
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