The Universal Journal of Integral Equations covers activity and development of innovative contributions in all kinds of linear and non-linear integral equations and their applications. Research in linear and non-linear Fredholm integral equations, linear and non-linear Volterra integral equations, linear and non-linear singular integral equations and other kinds of integral equations, from abstract theory to numerical methods and applications to physics, economics, chemistry, mathematical analysis, functional analysis, theoretical and applied mechanics, civil engineering, mechanical engineering, electrical engineering, aerospace engineering, chemical engineering and other fields of science and engineering is included. Contributions can be either abstract, analytical or numerical, covering all aspects of linear and non-linear integral equations and all fields of science where integral equations might appear. So, the papers published should present innovative analytical and numerical methods, as well as non-linear methods and results, which should be far beyond the current "state of art".

Volume 1 (2013)

1. Non-linear Parabolic Integral Equations used in Stationary and Dynamic Viscoplasticity

Pages 1-12

E.G.Ladopoulos

2. Non-linear Seismic Wave Motion in Elastodynamics with Application to Real-Time Expert Seismology

Pages 13-27

E.G.Ladopoulos

3. Non-linear Singular Integro-differential Equations in Banach Spaces by Collocation Evaluation Methods

Pages 28-38

E.G.Ladopoulos

Volume 2 (2014)

1. Three-dimensional Multiphase Flows by Non-linear Singular Integral Equations in Petroleum Engineering

Pages 1-11

E.G.Ladopoulos

2. Non-linear Integro-differential Equations for Risk Management Analysis

Pages 12-19

E.G.Ladopoulos

3. Determination of the Coefficient in the Advection Diffusion Equation using Collocation and Radial Basis Functions

Pages 20-29

H. Azari, F. Parzlivand

4. The Behavior of Discontinuous Kernel of Mixed Integral Equation

Pages 30-38

M.A. Abdou, F.A. Salama

Volume 3 (2015)

1. Non-linear Singular Integral Equations in Oil & Gas Engineering by Four-dimensional Multiphase Flows

Pages 1-11

E.G.Ladopoulos

2. New Aspects for Non-linear Semigroups in L1 Applied to Heat Equation’s Analysis

Pages 12-21

E.G.Ladopoulos

3. Spectral Relationships of Mixed Integral Equation with Potential Kernel in Different Domains

Pages 22-32

R.T. Matoog

4. Error Analysis of Legendre-Gauss-Radau Collocation for Linear and Non-linear Volterra Integro-differential Equations of the Second Kind

Pages 33-50

T.G. Zhao, M.S. Li

5. On a Discussion of Fredholm-Urysohn Integral Equation with Singular Kernel in Time

Pages 51-60

M. M. El-Kojok, S. A. Raad

6. Degenerate Kernel Method for Three Dimension Nonlinear Integral Equations of the Second Kind

Pages 61-66

M. Basseem

Volume 4 (2016)

1. Hydraulic Fracturing by Three & Four-dimensional Porous Medium Analysis by Non-linear Singular Integral Equations

Pages 1-12

E.G.Ladopoulos

2. Non-linear Integro-differential Equations for Risk Management Analysis: Further Developments

Pages 13-20

E.G.Ladopoulos

3. Modified Taylor’s Method and Nonlinear Mixed Integral Equation

Pages 21-29

R.T. Matoog

4. A New Numerical Treatment for the Nonlinear Quadratic Integral Equation in Two-Dimensions

Pages 30-41

S. A. Raad

5. Numerical Treatments for the Two-Dimensional Mixed Nonlinear Integral Equation in Time and Position

Pages 42-53

M. A. Abdou, M. M. El-Kojok

6. A Singular Integral Transform for the Gibbs-Wilbraham Effect in Inverse Fourier Transforms

Pages 54-62

N. H. S. Haidar

Volume 5 (2017)

1. Non-linear Singular Integro-differential Equations in Banach Spaces by New Collocation Evaluation Methods

Pages 1-11

E.G.Ladopoulos

2. Further Developments of Non-linear Plasticity Problems by Multidimensional Singular Integral Equations

Pages 12-25

E.G.Ladopoulos

3. Proper Generalized Decomposition Method for Solving Singularity Volterra - Fredholf Integral Equations with Non-smooth Input Function

Pages 26-41

S. E. A. Alhazmi

Volume 6 (2018)

1. Economics Risk Management Analysis by Non-linear Integro-differential Equations

Pages 1-8

E.G.Ladopoulos

2. New Contributions of Quadrature Approximation Method for Hypersingular Integral Equations defined in Banach Spaces

Pages 9-19

E.G.Ladopoulos

3. Numerical Solution of two-dimensional Fredholm Integral Equation by Chebyshev and Legendre polynomials using Collocation Method

Pages 20-29

M. H. Saleh, D. Sh. Mohamed, D. M. Abdessamie

Volume 7 (2019)

1. 4-D Real-Time Expert Seismology in Non-linear Elastodynamics more Suitable than the Corresponding 3-D

Pages 1-15

E.G.Ladopoulos

2. Modern Aspects of Non-linear Singular Integro-differential Equations in Banach Spaces by using Collocation Approximation Methods

Pages 16-26

E.G.Ladopoulos

Volume 8 (2020) DOI 10.13140/RG.2.2.18695.73124

1. Is the Collocation Approximation Method the best Device for the Solution of the Non-linear Singular Integro-differential Equations defined in Banach Spaces ? What will be Next ?

Pages 1-11

E.G.Ladopoulos

2. Are the Non-linear Singular Integral Equations the best Device for 3 & 4-D Porous Medium Analysis in Petroleum Hydraulic Fracturing ? What will be Next ?

Pages 12-23

E.G.Ladopoulos

Volume 9 (2021) DOI 10.13140/RG.2.2.34580.42884

1. An Overview of the Non-linear Integro-differential Equations for Economics Risk Management Analysis

Pages 1-8

E.G.Ladopoulos

2. An Overview of Risk Management Analysis by Non-linear Integro-differential Equations

Pages 9-16

E.G.Ladopoulos

Volume 10 (2022) DOI 10.13140/RG.2.2.24651.05922

1. The Leading Technology of Non-linear Singular Integral Equations Method for 4-D Porous Medium Analysis in Hydrocarbon Hydraulic Fracturing

Pages 1-13

E.G.Ladopoulos

2. The Leading Technology of the Non-linear Integro-differential Equations for Economics Risk Management Analysis

Pages 14-21

E.G.Ladopoulos

3. The Leading Technology of Risk Management Analysis by Non-linear Integro-differential Equations

Pages 22-29

E.G.Ladopoulos

Volume 11 (2023) DOI 10.13140/RG.2.2.30186.90568

1. Groundbreaking Method by Non-linear Singular Integral Equations for 4-D Porous Medium Analysis in Petroleum Hydraulic Fracturing

Pages 1-13

E.G.Ladopoulos

2. Groundbreaking Method by Non-linear Integro-differential Equations for Economics Risk Management Analysis

Pages 14-21

E.G.Ladopoulos

3. Groundbreaking Method of Risk Management Analysis by Non-linear Integro-differential Equations

Pages 22-29

E.G.Ladopoulos

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