Results 31 to 40 of about 243 (176)

Solvability of Some Integral Equations in Banach Space and Their Applications to the Theory of Viscoelasticity

Abstract and Applied Analysis, 2012
An integral equation of Volterra type with additional compact operator in Banach space is considered. A special case is an integral equation of contact problem that arises in theory of viscoelasticity of mixed Fredholm and Volterra type with spectral ...
Onur Alp İlhan
doaj   +1 more source

Integral equations for the wave function of particle systems

Semiconductor Physics, Quantum Electronics & Optoelectronics, 2019
Constructions of integral equations to the wave function of particle systems in bound state have been proposed in this work. We obtain the kernel of the Fredholm type integral equation for an odd number of particles in explicit form. Besides, an integral
K.V. Avdonin
doaj   +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

Existence Results of Fractional Mixed Volterra -Fredholm Integrodifferential Equations with Integral Boundary Conditions [PDF]

Al-Rafidain Journal of Computer Sciences and Mathematics, 2011
In this paper, we give an existence results for the fractional mixed Volterra -Fredholm integrodifferential equation with Integral Boundary Conditions.
Sohaib Hasan, Rabeea Hani
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

Collocation Approach for the Computational Solution Of Fredholm-Volterra Fractional Order of Integro-Differential Equations

Journal of Nigerian Society of Physical Sciences, 2022
      In this work, a collocation technique is used to determine the computational solution to fractional order Fredholm-Volterra integro-differential equations with boundary conditions using Caputo sense.
Ganiyu Ajileye, Adewale James, Ayinde Abdullahi, Taiye Oyedepo   +3 more
doaj   +1 more source

Chebyshev polynomials to Volterra-Fredholm integral equations of the first kind

REMAT
Numerous methods have been studied and discussed for solving ill-posed Volterra integral equations and ill-posed Fredholm integral equations, but rarely for both simultaneously.
Mohamed Nasseh Nadir, Adel Jawahdou
doaj   +1 more source

An Algorithm for the Solution of Nonlinear Volterra–Fredholm Integral Equations with a Singular Kernel

Fractal and Fractional, 2023
The nonlinear Volterra–Fredholm integral Equation (NVFIE) with a singular kernel is discussed such that the kernel of position can take the Hilbert kernel form, Carleman function, logarithmic form, or Cauchy kernel. Using the quadrature method, the NVFIE
Sahar M. Abusalim, Mohamed A. Abdou, Mohamed E. Nasr, Mohamed A. Abdel-Aty   +3 more
doaj   +1 more source

Phase‐Lag Integro‐Partial Differential Equation: Local and Nonlocal Solutions

Advances in Mathematical Physics, Volume 2026, Issue 1, 2026.
Nonlocal information, such as material deformation, genetic genes, or the history of the disease, are essential as they provide us with additional details that increase the numerical solution’s accuracy. With the help of the phase delay, we may also predict the future of the phenomena we are researching.
Sameeha Ali Raad, Ivan Giorgio
wiley   +1 more source

Convergence Comparison of two Schemes for Common Fixed Points with an Application

Ibn Al-Haitham Journal for Pure and Applied Sciences, 2019
      Some cases of common fixed point theory for classes of generalized nonexpansive maps are studied. Also, we show that the Picard-Mann scheme can be employed to approximate the unique solution of a mixed-type Volterra-Fredholm functional nonlinear ...
Salwa Salman Abed, Zahra Mahmood Mohamed Hasan   +1 more
doaj   +1 more source