In this paper, we discuss several problems related to the neutral fractional Volterra-Fredholm integro-differential systems in Banach spaces. Existence of Schaefer's fixed point and Ulam-Hyers-Rassias stability properties for problem will be discussed. Some results are presented, under appropriate conditions, some open questions pointed out. Our extend recent given \(\psi\)-fractional derivative.

in this study, a new and ecient approach is presented for numerical solution offredholm integro-dierential equations (fides) of the second kind on unbounded domainwith degenerate kernel based on operational matrices with respect to generalized laguerrepolynomials(glps). properties of these polynomials and operational matrices of integration,dierentiation are introduced and are ultilized to r...

in this paper, a novel hybrid method based on learning algorithmof fuzzy neural network and newton-cotesmethods with positive coefficient for the solution of linear fredholm integro-differential equation of the second kindwith fuzzy initial value is presented. here neural network isconsidered as a part of large field called neural computing orsoft computing. we propose alearning algorithm from ...

Journal of Applied Mathematics and Computational Mechanics, Prace Naukowe Instytutu Matematyki i Informatyki, Politechnika Cz?stochowska, Scientific Research the Institute Computer Science, Czestochowa University Technology

In this research, the finite difference method is used to solve initial value problem of linear first order Volterra-Fredholm integro-differential equations with singularity. By using implicit rules and composite numerical quadrature rules, scheme established on a Shishkin mesh. The stability convergence proposed are analyzed two examples solved display advantages presented technique.

The Variational Iteration Method is applied to solve Fredholm Integro-differential Equation. initial approximation was selected wisely which satisfies the condition of given numerical result analyzed with aid Mat-Lab and Maple software’s are compared exact solution show usefulness efficiency Method. results that very efficient, reliable high accuracy for solving Equation when solution.