Meet the editor

DR. FRANCISCO BULNES, PhD, PostDocs, Doctor H. C., HonDSc, zbMATH , PhD in Mathematical Sciences, IM/UNAM. IINAMEI Director, Mathematics Research Centre in Mexico, 2015-Actually. Editor-in-Chief of Journals of Mathematics, in USA, and India, 2015-Actually. Member of various international committees of science. Reviewer of British journals of mathematics and physics in SCOPUS; Head of Research Department,

GI-TESCHA. Numerous papers (more than 100) in mathematics and physics research journals, and author of much books of mathematics and physics. Recognised and famous in East Europe, Asia, Arab continents. He has many theories, theorems, math objects with his name. He has received various honors by universities and NGO's, likewise GO's. Also is Czech Republic Mathematics Society distinguished member (JCFM). He has two post-doctorates in Cuba and Russia in mathematics. Many international awards and badges. www.iinamei.com.mx

Contents

**Section 1**

**Section 2**

Methods

**Section 3**

*by Isamu Dôku*

**Section 4**

Transforms

**Section 5**

Band-Limited Signals *by Weidong Chen*

Physics Equations

and Recent Results *by Francisco Bulnes*

**Preface III**

Introduction **1**

**Chapter 1 3**

**Chapter 2 9**

Advanced Themes of Integral Equations **27**

**Chapter 3 29**

**Chapter 4 45**

**7**

**43**

**61**

Introductory Chapter: Frontier Research on Integral Equations

Tools and Fundaments to Integral Equations and Their Solution

A Probabilistic Interpretation of Nonlinear Integral Equations

Computes Methods to Integral Equations and Their Integral

Computation of Two-Dimensional Fourier Transforms for Noisy

Applications in the Integral Forms Discurse of Mathematical

Contraction Mappings and Applications *by Nawab Hussain and Iram Iqbal*
