Results 101 to 110 of about 2,553,181 (201)

Mixed type of Fredholm-Volterra integral equation [PDF]

, 2006
In this paper, under certain conditions, the solution of mixed type of Fredholm-Volterra integral equation is discussed and obtained in the space L_2 (−1, 1) × C[0, T ], T < ∞.
Abdou, M. A., Abd Al-Kader, G. M.
core  

Numerical Solution of Weakly Singular Ito-Volterra Integral Equations via Operational Matrix Method based on Euler Polynomials

پژوهش‌های ریاضی, 2018
Introduction Many problems which appear in different sciences such as physics, engineering, biology, applied mathematics and different branches can be modeled by using deterministic integral equations.
Farshid Mirzaee, Nasrin Samadyar;
doaj  

A Nyström interpolant for some weakly singular nonlinear Volterra integral equations

Journal of Computational and Applied Mathematics, 2009
The author considers the numerical solution of second kind Volterra integral equations with weakly singular kernel which is a non-compact operator, of the type \[ u(t)- \int^t_0 k(t,s)\Biggl({s\over t}\Biggr)^\mu {u(s)\over s} ds= f(t),\qquad t\in (0,T]> 0,\;\mu> 0, \] and \(f(t)\) a given function.
openaire   +6 more sources

Annual Reports to the ESA Council ESA 110th Annual Meeting July, 2025

The Bulletin of the Ecological Society of America, Volume 107, Issue 2, April 2026.
wiley   +1 more source

An Algorithm for Solving Phase-Lag Nonlinear Mixed Integral Equation With Discontinuous Generalized Kernel

Advances in Mathematical Physics
In this work, a nonlinear fractional integrodifferential equation (NFIo-DE) with discontinuous generalized kernel in position and time is explored in space L2Ω×C0,T ...
Abeer M. Al-Bugami, M. A. Abdou
doaj   +1 more source

Efficient Nyström-type method for the solution of highly oscillatory Volterra integral equations of the second kind. [PDF]

PLoS One, 2023
Wu Q, Sun M.
europepmc   +1 more source

Müntz–Legendre Wavelet Collocation Method for Solving Fractional Riccati Equation

Axioms
We propose a wavelet collocation method for solving the fractional Riccati equation, using the Müntz–Legendre wavelet basis and its associated operational matrix of fractional integration.
Fatemeh Soleyman, Iván Area
doaj   +1 more source

Anti-periodic boundary value problems for singular fractional p-Laplacian equations

Fixed Point Theory and Algorithms for Sciences and Engineering
In this paper, anti-periodic boundary value problems for Caputo fractional differential equations involving the p-Laplacian operator and a singular nonlinearity of the form  t − γ $t^{-\gamma}$ are studied.
Mahir Hasanov
doaj   +1 more source

Application of the homotopy perturbation method for weakly singular Volterra integral equations

Journal of New Results in Science
In this paper, we study a weakly singular Volterra integral equation of the second kind with the kernel $\displaystyle K(x,t) = \left (\frac{t}{x}\right )^\nu\frac{1}{t}$, for some $\nu >0$ and $x\in[0,X]$.
Ahmet Altürk
doaj   +1 more source

A new formulation of Hermite–Hadamard–Fejer inequalities connected with an extended fractional operator

Journal of Inequalities and Applications
In this work, we classify the extensions of Hermite–Hadamard(H–H)–Fejer-type inequalities for the fractional operators involving nonlinear kernel. By utilizing these inequalities, we develop many kinds of fractional integral (FI) inequalities.
Muhammad Younis, Zhi Guo Liu, Muhammad Samraiz, Ahsan Mehmood   +3 more
doaj   +1 more source