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 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.

In this study, Chebyshev polynomials have been applied to construct an approximation method attain the solutions of linear fractional Fredholm integro-differential equations (IDEs). By method, IDE has transformed into a algebraic system with aid collocation points. conformable derivatives calculated in terms polynomials. Using results these calculations, matrix relation for was attained first t...

The article deals with the existence of solutions an integro-differential equation in case anomalous diffusion negative Laplace operator a fractional power presence transport term. proof is based on fixed point technique. Solvability conditions for elliptic operators without Fredholm property unbounded domains are used. We discuss how introduction term impacts regularity solutions.