Results 71 to 80 of about 310 (173)
Solvability of Implicit Fractional Systems With Nonlocal Conditions in Weighted Functional Spaces
International Journal of Differential Equations, Volume 2025, Issue 1, 2025.This paper investigates the existence and uniqueness of solutions for a class of nonlinear implicit Riemann–Liouville fractional integro‐differential equations subject to nonlocal conditions in a weighted Banach space. The inclusion of both implicit effects and nonlocal terms introduces additional complexity, making the analysis both challenging and ...
Abdulrahman A. Sharif +3 more
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International Journal of Differential Equations, 2011 We study the existence and uniqueness of the solutions of mixed Volterra-Fredholm type integral equations with integral boundary condition in Banach space. Our analysis is based on an application of the Krasnosel'skii fixed-point theorem.
Shayma Adil Murad +2 more
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International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.An intuitionistic fuzzy number, which incorporates both membership and nonmembership functions at a same time, allows for a more accurate representation of uncertainty. This work presents an approximate solution to the Volterra integral equation that involves both membership and nonmembership degrees of uncertainty named as intuitionistic fuzzy ...
Zain Khan +3 more
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Least squares approximation method for the solution of Volterra–Fredholm integral equations
Journal of Computational and Applied Mathematics, 2014 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Qisheng Wang, Keyan Wang, Shaojun Chen
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Haar Wavelet Method for the System of Integral Equations
Abstract and Applied Analysis, 2014 We employed the Haar wavelet method to find numerical solution of the system of Fredholm integral equations (SFIEs) and the system of Volterra integral equations (SVIEs).
Hassan A. Zedan, Eman Alaidarous
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Orthonormal Bernoulli Polynomials for Solving a Class of Two Dimensional Stochastic Volterra-Fredholm Integral Equations. [PDF]
Int J Appl Comput Math, 2022 Pourdarvish A +3 more
europepmc +1 more source
New Perturbation Iteration Solutions for Fredholm and Volterra Integral Equations
Journal of Applied Mathematics, 2013 In this paper, recently developed perturbation iteration method is used to solve Fredholm and Volterra integral equations. The study shows that the new method can be applied to both types of integral equations.
İhsan Timuçin Dolapçı +2 more
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Homotopy perturbation method for the mixed Volterra–Fredholm integral equations
Chaos, Solitons & Fractals, 2009 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Collocation Method for Nonlinear Volterra-Fredholm Integral Equations
Open Journal of Applied Sciences, 2012 A fully discrete version of a piecewise polynomial collocation method based on new collocation points, is constructed to solve nonlinear Volterra-Fredholm integral equations. In this paper, we obtain existence and uniqueness results and analyze the convergence properties of the collocation method when used to approximate smooth solutions of Volterra ...
Jafar Ahmadi Shali +2 more
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Journal of Mathematical Extension, 2013 Since various problems in science and engineering fields can be modeled by nonlinear Volterra-Fredholm integral equations, the main focus of this study is to present an effective numerical method for solving them.
M. Roodaki, Z. JafariBehbahani
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