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Solvability of Volterra integral equations of third kind by modified Bernstein operators

Article

Solvability of Volterra integral equations of third kind by modified Bernstein operators

Petro Bwire et al · SpringerOpen · 2026 · ISSN 1029-242X

Abstract In this paper, we apply modified Bernstein operators B m ∗ ( f ) $B^{*}_{m}(f)$ to obtain the solution of Volterra integral equations of third type. We construct the numerical scheme, study the convergence ana...

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Boundary element analysis of three-dimensional mixed-mode cracks via the interaction integral

Article

Boundary element analysis of three-dimensional mixed-mode cracks via the interaction integral

Cisilino, Adrian Pablo et al · Elsevier · 2004 · ISSN 0045-7825

A three-dimensional boundary element method (BEM) implementation of the interaction integral methodology for the numerical analysis of mixed-mode three-dimensional cracks is presented in this paper. The interaction integ...

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Solving Fredholm integral equation based on Padé approximants using Particle swarm optimization

Article

Solving Fredholm integral equation based on Padé approximants using Particle swarm optimization

Israa sheekhoo et al · University of Mosul, College of Education for Pure Science · 2023 · ISSN 1812-125X

Several scientific and engineering applications are usually described as integral equations. A new approach for solving the type of linear and nonlinear Fredholm integral equation of the second kind is proposed. Alth...

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Study Boundary Problem with Integral condition for Fractional Differential Equations

Article

Study Boundary Problem with Integral condition for Fractional Differential Equations

Nawal Abdulkader et al · University of Mosul, College of Education for Pure Science · 2020 · ISSN 1812-125X

In last many years ago there was a great interest in studying the existence of positive solutions for fractional differential equations. Many authors have considered the existence of positive solutions of non-linear diff...

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Double ARA–Generalized Laplace Method for Solving (2 +1)–Dimensional Nonlinear Singular Pseudoparabolic Equations

Article

Double ARA–Generalized Laplace Method for Solving (2 +1)–Dimensional Nonlinear Singular Pseudoparabolic Equations

Rania Saadeh et al · Wiley · 2026 · ISSN 1687-0042

This study presents a novel triple integral transformation, called the double ARA–generalized Laplace transform (DAGLT), and applies it to solve (2+1)–dimensional singular pseudoparabolic equations in both linear and...

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A Categorical Equivalence Motivated by Kalman’s Construction

Article

A Categorical Equivalence Motivated by Kalman’s Construction

Sagastume, Marta Susana et al · Kluwer Academic Publishers · 2016 · ISSN 0039-3215

An equivalence between the category of MV-algebras and the category (Formula presented.) is given in Castiglioni et al. (Studia Logica 102(1):67–92, 2014). An integral residuated lattice with bottom is an MV-algebra i...

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وجود الحلول الموجبة لمسائل القیم الحدودیة لمعادلة تفاضلیة لاخطیة من الرتب الکسریة

Article

وجود الحلول الموجبة لمسائل القیم الحدودیة لمعادلة تفاضلیة لاخطیة من الرتب الکسریة

Noora Omar Aga · University of Mosul, College of Education for Pure Science · 2020 · ISSN 1812-125X

Recently boundary value problems for differential equations of non-integral order have studied in many papers ( see [1,2] ). Zaho etal [ 1 ] studied the following boundary value problem of fractional differential equatio...

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Theory of Linear and Integer Programming

Article

Theory of Linear and Integer Programming

Adam N. Letchford; Alexander Schrijver · Journal of the Operational Research Society · 2000

Introduction and Preliminaries. Problems, Algorithms, and Complexity. LINEAR ALGEBRA. Linear Algebra and Complexity. LATTICES AND LINEAR DIOPHANTINE EQUATIONS. Theory of Lattices and Linear Diophantine Equations. Algorit...

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Electronic Journal of Mathematical Analysis and Applications

Article

Electronic Journal of Mathematical Analysis and Applications

Alexandria University, Faculty of Science; Egypt · ISSN 3009-6731

Subjects / keywords: mathematical analysis, functional analysis; functional equations, integral equations; functional integral equations, set-valued integral equations; Science: Mathematics

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Development of the Adomian's Method for Solving non-linear Fredholm-Fredholm Integral Equations

Article

Development of the Adomian's Method for Solving non-linear Fredholm-Fredholm Integral Equations

Junaid Mustafa · University of Mosul, College of Education for Pure Science · 1999 · ISSN 1812-125X

Abstract: A new and effective direct method to determine the numerical solution of non- linear Fredholm-Fredholm integral equations is proposed. The method is based on a series solution for the unknown quantity by Adomi...

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Some Theorems and Results on Solution of Kind of Volterra Integral Equations

Article

Some Theorems and Results on Solution of Kind of Volterra Integral Equations

Muayyad Khalil · University of Mosul, College of Education for Pure Science · 2020 · ISSN 1812-125X

We studied in this work a class of nonlinear Volterra integral equations with delay and present a sufficient condition for the bounded solution also we give an illustrative example which support the main result of this p...

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Using Invasive Weed Optimization Algorithm with a Padé Approximation to Solve a System of Volterra Integral Equations

Article

Using Invasive Weed Optimization Algorithm with a Padé Approximation to Solve a System of Volterra Integral Equations

Muhammad Almawlaa et al · University of Mosul, College of Education for Pure Science · 2024 · ISSN 1812-125X

Engineering and physics applications are described mathematically as a system of Volterra integral equations (SVIEs). Although many numerical techniques have been considered to solve SVIEs, developing more stable, and ef...

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Parallel Computing of Partial Diferential Equations Based Appliations

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Parallel Computing of Partial Diferential Equations Based Appliations

Romero Gómez, Luis Felipe; Tabik, Siham; Martín Garzón, Ester · Editorial Universidad de Almería · 2006 · ISBN 9788482408842

La mayoría de los modelos matemáticos empleados para describir fenómenos físicos reales en ciencia e ingeniería están gobernados por ecuaciones parciales diferenciales no-lineales dependientes del tiempo PDEs (Part...

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Integral Operators of Mixed Type of Nonlinear Integral Equation

Article

Integral Operators of Mixed Type of Nonlinear Integral Equation

Lamyaa H. Saadoon · University of Mosul, College of Education for Pure Science · 2018 · ISSN 1812-125X

In this paper, we investigate some properties of nonlinear integral operators of mixed type of integral equations with kernels depending on two variables. The results concerning the continuity and compactness of these op...

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(Integral-)ISS of switched and time-varying impulsive systems based on global state weak linearization

Article

(Integral-)ISS of switched and time-varying impulsive systems based on global state weak linearization

Mancilla-Aguilar, J. L. et al · RI ITBA · 2022 · ISSN 0018-9286

"It is shown that impulsive systems of nonlinear, time-varying and/or switched form that allow a stable global state weak linearization are jointly input-to-state stable (ISS) under small inputs and integral ISS (iISS). ...

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Solutions of a number of integral single-core Volterra equations

Article

Solutions of a number of integral single-core Volterra equations

Mohammed Hasso et al · University of Mosul, College of Education for Pure Science · 2006 · ISSN 1812-125X

In this paper we study some different method for solving volterra integral equation with singular kernel of the first kind and expanded by using a method for finding the solution using Gamma function when f(x) is an alge...

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The existence and convergence of the solution to a system of non-linear integral-differential equations of the first rank with the requirements of integration

Article

The existence and convergence of the solution to a system of non-linear integral-differential equations of the first rank with the requirements of integration

Raad Petrus et al · University of Mosul, College of Education for Pure Science · 2006 · ISSN 1812-125X

In this paper we investigate the existence and approximation for nonlinear system of integro-differential equation with boundary integral conditions by using the numerical-analytic method for investigating of a periodic ...

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Existence and Unity of the Solution of Integral-Linear Differential Equations with Fractional Ranks Using the Fixed Point Banach Theorem

Article

Existence and Unity of the Solution of Integral-Linear Differential Equations with Fractional Ranks Using the Fixed Point Banach Theorem

Raad Butrus et al · University of Mosul, College of Education for Pure Science · 2019 · ISSN 1812-125X

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Some theorems in existence and oneness of a system of integral - nonlinear differential equations

Article

Some theorems in existence and oneness of a system of integral - nonlinear differential equations

Raed Butrus et al · University of Mosul, College of Education for Pure Science · 2006 · ISSN 1812-125X

In this paper we study the existence and uniqueness solution for system of nonlinear integro-differential equations by usingRiemann integral. For this purpose, the study depends upon(Picard approximation Method) and (Ban...

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Aminoácidos digestíveis verdadeiros de alguns alimentos protéicos determinados em galos cecotomizados e por equações de predição True digestible amino acids of some protein feedstuffs determined with cecectomized cockerels and by prediction equations

Article

Paulo Roberto Ost et al · Sociedade Brasileira de Zootecnia · 2007 · ISSN 1516-3598

Foram determinados os coeficientes de digestibilidade e os valores de aminoácidos digestíveis verdadeiros da soja integral tostada, soja integral micronizada e de cinco amostras de farelos de soja. Utilizou-se o métod...

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Time scales calculus for S $\mathcal{S}$ -linearly correlated fuzzy number-valued functions and application to fuzzy functional dynamic equations

Article

Time scales calculus for S $\mathcal{S}$ -linearly correlated fuzzy number-valued functions and application to fuzzy functional dynamic equations

Yonghong Shen et al · SpringerOpen · 2026 · ISSN 1029-242X

Abstract Based on the existing results, this paper systematically reviews and extends the calculus theory of S $\mathcal{S}$ -linearly correlated fuzzy number-valued functions on time scales. As an application of the the...

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An Improved Method for Acquisition of the Parameters of Jiles-Atherton Hysteresis Scalar Model Using Integral Calculus

Article

An Improved Method for Acquisition of the Parameters of Jiles-Atherton Hysteresis Scalar Model Using Integral Calculus

Filomena Barbosa R. Mendes et al · Sociedade Brasileira de Microondas e Optoeletrônica e Sociedade Brasileira de Eletromagnetismo · ISSN 2179-1074

Abstract An accurate modeling of materials is essential to obtain reliable results in fields calculation. The Jiles-Atherton approach is widely used for modeling the magnetic hysteresis and depends on its set of five par...

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Equações de regressão para estimar valores energéticos do grão de trigo e seus subprodutos para frangos de corte, a partir de análises químicas Regression equations to evaluate the energy values of wheat grain and its by-products for broiler chickens from chemical analyses

Article

F.M.O. Borges et al · Universidade Federal de Minas Gerais, Escola de Veterinária · 2003 · ISSN 0102-0935

Um experimento foi realizado com frangos de corte para a obtenção de equações de predição da energia a partir de análises químicas e dados de energia metabolizável (EM) utilizando como alimentos-teste o trigo e ...

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Numerical Solution for Solving Linear Fractional Differential Equations using Chebyshev Wavelets

Article

Numerical Solution for Solving Linear Fractional Differential Equations using Chebyshev Wavelets

Inaam Abdulbaset Fathi et al · University of Mosul, College of Education for Pure Science · 2023 · ISSN 1812-125X

In this paper, a numerical method for solving linear fractional differential equations using Chebyshev wavelets matrices has been presented. Fractional differential equations have received great attention in the recent p...

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