Results 51 to 60 of about 25,245 (259)

Nonlinear Sequential Fractional Integro‐Differential Systems: Caputo‐Type Derivatives and Boundary Constraints

Mathematical Methods in the Applied Sciences, Volume 48, Issue 16, Page 15194-15218, 15 November 2025.
ABSTRACT In recent years, the study of sequential fractional differential equations (SFDEs) has become increasingly important in multiple domains of science and engineering. This work investigates a new class of boundary value problems (BVPs) characterized by nonlocal closed boundary conditions involving SFDEs with Caputo fractional integral operators.
Saud Fahad Aldosary, Manigandan Murugesan, Hami Gündoğdu   +2 more
wiley   +1 more source

Nonlinear Fredholm Integral Equation of the Second Kind with Quadrature Methods

Journal of Mathematical Extension, 2010
In this paper, a numerical method for solving the nonlinear Fredholm integral equation is presented. We intend to approximate the solution of this equation by quadrature methods and by doing so, we solve the nonlinear Fredholm integral equation more ...
M. Jafari Emamzadeh, M. Tavassoli Kajani
doaj  

On the solution of intuitionistic fuzzy nonlinear Fredholm integral equation using direct computational method

Journal of Big Data
Fuzzy integral equations play an important role in addressing uncertain mathematical problems. There are various techniques present in the literature to solve fuzzy linear integral equations.
Zain Khan, Saleem Abdullah, Ariana Abdul Rahimzai, Saifullah Khan   +3 more
doaj   +1 more source

A study on the convergence and error bound of solutions to 2D mixed Volterra–Fredholm integral and integro-differential equations via high-order collocation method [PDF]

Iranian Journal of Numerical Analysis and Optimization
The integral equation is transformed into systems of algebraic equations using standard collocation points, and then the algebraic equations are solved using matrix inversion.
A.A. Shalangwa, M.R. Odekunle, S.O. Adee
doaj   +1 more source

A New Family of Boundary-Domain Integral Equations for a Mixed Elliptic BVP with Variable Coefficient [PDF]

, 2015
A mixed boundary value problem for the stationary heat transfer partial differential equation with variable coefficient is reduced to some systems of direct segregated parametrix-based Boundary-Domain Integral Equations (BDIEs).
Mikhailov, SE, Portillo, CF
core   +1 more source

A Jost-Pais-type reduction of Fredholm determinants and some applications [PDF]

, 2014
We study the analog of semi-separable integral kernels in $\cH$ of the type {equation*} K(x,x')={cases} F_1(x)G_1(x ...
Carey, Alan, Gesztesy, Fritz, Potapov, Denis, Sukochev, Fedor, Tomilov, Yuri   +4 more
core   +1 more source

A Flexible Derivation Approach for the Numerical Solution of Partial Differential Equations

Numerical Methods for Partial Differential Equations, Volume 41, Issue 6, November 2025.
ABSTRACT We propose a new method for the numerical solution of boundary value problems associated to partial differential equations. This method is based on standard approximation techniques, like numerical differentiation of univariate functions and curve interpolation, so it can be easily generalized to high‐dimensional problems.
Nadaniela Egidi, Josephin Giacomini, Pierluigi Maponi   +2 more
wiley   +1 more source

Applications of Normal S-Iterative Method to a Nonlinear Integral Equation

The Scientific World Journal, 2014
It has been shown that a normal S-iterative method converges to the solution of a mixed type Volterra-Fredholm functional nonlinear integral equation. Furthermore, a data dependence result for the solution of this integral equation has been proven.
Faik Gürsoy
doaj   +1 more source

An Approximate Solutions of Fuzzy Linear Fredholm Integral Equations [PDF]

Engineering and Technology Journal, 2010
The main aims of this paper are studying and modifying an approximate to solvefuzzy linear integral equations of Fredholm type.Two different Kinds of fuzzy functions are used to transform the ordinary linearintegral equations of Fredholm type to the ...
Nuha Abduljabbar Rajab, Mazin Hashim Suhhiem   +1 more
doaj   +1 more source

Optimal Control Strategies and Continuous Dependence for Stochastic Hilfer Fractional Systems With Delay: A Volterra‐Fredholm Integro‐Differential Approach

Optimal Control Applications and Methods, Volume 46, Issue 6, Page 2708-2726, November/December 2025.
The graphical abstract highlights our research on Sobolev Hilfer fractional Volterra‐Fredholm integro‐differential (SHFVFI) control problems for 1<ϱ<2$$ 1<\varrho <2 $$. We begin with the Hilfer fractional derivative (HFD) of order (1,2) in Sobolev type, which leads to Volterra‐Fredholm integro‐differential equations.
Marimuthu Mohan Raja, V. Vijayakumar, Chun‐Wei Tsai, Kalyana Chakravarthy Veluvolu   +3 more
wiley   +1 more source