Common solution to a pair of nonlinear Fredholm and Volterra integral equations and nonlinear fractional differential equations
type: Item
instance of: scholarly article
title: Common solution to a pair of nonlinear Fredholm and Volterra integral equations and nonlinear fractional differential equations
author: D. Ramesh Kumar
published in: Journal of Computational and Applied Mathematics
publication date: 2021-12-14T00:00:00Z
Mathematics Subject Classification ID: 45G15
Mathematics Subject Classification ID: 45B05
Mathematics Subject Classification ID: 45D05
Mathematics Subject Classification ID: 34A08
Mathematics Subject Classification ID: 45G10
Mathematics Subject Classification ID: 65R20
zbMATH DE Number: 7444661
zbMATH Keywords: integral equation
zbMATH Keywords: fractional differential equation
zbMATH Keywords: common fixed point
zbMATH Keywords: \(w\)-distance
zbMATH Keywords: altering distance function
MaRDI profile type: Publication
full work available at URL: j.cam.2021.113907
OpenAlex ID: W3214674308
Wikidata QID: Q115359652
cites work: A new approach for numerical solution of two-dimensional nonlinear Fredholm integral equations in the most general kind of kernel, based on Bernstein polynomials and its convergence analysis
cites work: High performance parallel numerical methods for Volterra equations with weakly singular kernels
cites work: Solution of non-linear Fredholm integral equations of the first kind using modified homotopy perturbation method
cites work: Numerical solution of nonlinear Fredholm integral equations of the second kind using Haar wavelets
cites work: Triangular functions (TF) method for the solution of nonlinear Volterra-Fredholm integral equations
cites work: Numerical treatment of fixed point applied to the nonlinear Fredholm integral equation
cites work: The existence and uniqueness of the solution for nonlinear Fredholm and Volterra integral equations together with nonlinear fractional differential equations via \( w\)-distances
cites work: On new existence and uniqueness results concerning solutions to nonlinear Fredholm integral equations via \(w\)-distances and weak altering distance functions
cites work: Contractive mapping theorems in partially ordered sets and applications to ordinary differential equations
cites work: Q5200269
cites work: Applying new fixed point theorems on fractional and ordinary differential equations
cites work: Existence of solutions for a class of nonlinear Volterra singular integral equations
cites work: Nonlinear \(F\)-contractions on \(b\)-metric spaces and differential equations in the frame of fractional derivatives with Mittag-Leffler kernel
cites work: On coupled systems of time-fractional differential problems by using a new fractional derivative
cites work: The Numerical Solution of Integral Equations of the Second Kind
cites work: Some existence results on nonlinear fractional differential equations
cites work: Applications of fractional calculus in physics
cites work: Q4359066
DOI: 10.1016/J.CAM.2021.113907
Recommended article: Existence and uniqueness of solutions for nonlinear Volterra‐Fredholm integro‐differential equation of fractional order with boundary conditions
Recommended article: The existence and uniqueness of the solution for nonlinear Fredholm and Volterra integral equations together with nonlinear fractional differential equations via \( w\)-distances
Recommended article: Q5866269
Recommended article: Q4627758
Recommended article: Q2944250
Recommended article: Existence, uniqueness, and numerical solutions for two-dimensional nonlinear fractional Volterra and Fredholm integral equations in a Banach space
Recommended article: A nonlinear fractional problem with mixed Volterra-Fredholm integro-differential equation: existence, uniqueness, H-U-R stability, and regularity of solutions
Recommended article: Q3513816
Recommended article: Q5883688
Recommended article: A priori error analysis of a stabilized finite-element scheme for an elliptic equation with time-dependent boundary conditions
description: scientific article; zbMATH DE number 7444661