Fredholm boundary-value problem for the system of fractional differential equations

O Boichuk, V Feruk - Nonlinear dynamics, 2023 - Springer
… This paper deals with the study of Fredholm boundary-value problem for the system of
fractional differential equations with Caputo derivative. The boundary-value problem is specified …

[PDF][PDF] On some nonlocal boundary value problems for nonlinear ordinary differential equations with delay

N Partsvania - Researches in Mathematics and Mechanics, 2017 - sci.ldubgd.edu.ua
boundary value problems are studied for higher order nonlinear ordinary differential equations
with delay… An analogue of Fredholms first theorem is obtained. The conditions of the main …

[图书][B] Generalized Inverse Operators: And Fredholm Boundary-Value Problems

AA Boichuk, AM Samoilenko - 2016 - books.google.com
Fredholm operators of index zero. Thus, for boundary-value problems regarded as operator
systems … We also add new results obtained for delay differential systems. In our opinion, they …

Numerical solutions of fractional differential equation with multiple delays via block boundary value method

A Sharma, S Kumar, HP Singh - International Journal of Dynamics and …, 2024 - Springer
… to solve various kinds of differential equations. Some such … diffusion equation [44], the
Lagrange interpolation is used to … solutions of fuzzy Fredholm integral equations are obtained …

[PDF][PDF] Fredholm Boundary-Value Problem for the System of Fractional Differential Equations with Caputo Derivative

OA Boichuk, VA Feruk - REPORTS OF QUALITDE, 2022 - rmi.tsu.ge
… methods of the theory of periodic boundary-value problems in the theory of oscillations (see
[… solutions of the boundary-value problem for the systems of fractional differential equations (1…

… solution of a linear system with distributed delays, Volterra delay-integro-differential equations, and nonlinear Volterra-Fredholm integral equation by Bezier curves

F Ghomanjani, MH Farahi, N Pariz - Computational and applied …, 2017 - Springer
… -Fredholm integral equations arise in the theory of parabolic boundary value problems, the
… , and various physical and biological problems. Several authors consider the mixed Volterra-…

Existence results for boundary value problems of fractional functional differential equations with delay

Z Han, Y Li, M Sui - Journal of Applied Mathematics and Computing, 2016 - Springer
… , analogy with boundary value problems for differential equations of … ’s function and some
properties of the Green function. Then the problem (1.1) is deduced to a equivalent Fredholm

Stabilizing integral delay dynamics and hyperbolic systems using a Fredholm transformation

J Redaud, J Auriol, SI Niculescu - 2021 60th IEEE Conference …, 2021 - ieeexplore.ieee.org
Differential Equation (PDE) control-oriented framework to stabilize the considered class of
IDEs. Then, the proposed approach requires the introduction of an appropriate Fredholm … , it is

On an approximate solution of a boundary value problem for a nonlinear integro-differential equation

MA Abdou, MI Youssef - Arab Journal of Basic and Applied …, 2021 - Taylor & Francis
… -differential equation. First, we derive an equivalent nonlinear Fredholm integral equation
(NFIE) to this problem. … populations is characterized by employing delayed integro-differential

… of a Jacobi spectral method for nonlinear systems of fractional boundary value problems and related Volterra-Fredholm integral equations with smooth solutions

MA Zaky, IG Ameen - Numerical Algorithms, 2020 - Springer
… initial value problems for fractional differential equations (see, … of boundary value problems
for fractional differential equations… with weakly singular kernels and proportional delay. Zacky […