Singular Integral Equations and Fractional Differential Equations
View Published Articles →01About This Special Issue
Integral algebraic equations, weakly singular integral equations, singular integral equations of Cauchy type are completely different branch of singular integral equations. However, the singularities of their kernels are their common difficulties and problems. The system of integral algebraic equations has singularity in an open interval of the real or the complex fields. The other types of singular integral equations have singularity in discrete sets. The Abel’s integral equations are important weakly type singular integral equations. They have been studied in last two centuries. The fractional integrals or derivatives are also weakly singular integrals. In the last three decade, fractional (partial) deferential equations have been received more attention and applications. It seems that the results of weakly singular integral equations can be applied in the fractional differential equations and vice versa. The kernel of Cauchy type singular integral equations also is similar to the kernel of weakly singular integral equations but it has completely different analysis and applications. The aim of this special issue is to consider these topics in one issue.Aims and scopes:
(1) Integral-Algebraic Equations
(2) Weakly Singular Integral Equations
(3) Abel Integral Equations
(3) Singular Integral Equations of Cauchy Type
(4) Fractional Differential Equations
(5) Fractional Partial Differential Equations
02Meet the Guest Editors
Our distinguished editors bring deep subject-matter expertise to curate high-quality research and ensure a rigorous peer-review process.
Lead Guest Editor
Babak Shiri
Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
Guest Editor
Mohammad Saidul Islam
Science & Engineering Faculty, Queensland University of Technology, Brisbane, Australia
Guest Editor
Ercan Çelik
Department of Mathematics, Ataturk University, Erzurum, Turkey
Guest Editor
Elham Sefidgar
Applied Mathematics, Atatürk university, Erzurum, Turkey
Guest Editor
Mehar Chand
Department of Applied Sciences, Guru Kashi University, Bathinda, India
Guest Editor
Zahra Moayyerizadeh
Department of Mathematics, Lorestan University, Khorramabad, Iran
Guest Editor
Mehdi Ahmadi
Department of Mathematics, Malayer University, Malayer, Iran
Guest Editor
Davoud Abdollahi
Department of Applied Mathematics, University of Tabriz, Tabriz, Iran
Guest Editor
Kholamreza Karamali
Faculty of science, Islamic Azad University South Tehran Branch, Tehran, Iran
Guest Editor
Hossein Fazli
Department of Applied Mathematic, University of Tabriz, Tabriz, Iran
Guest Editor
Mahnaz Kashfi
Department of Applied Mathematics, University of Tabriz, Tabriz, Iran
Guest Editor
Prof. Dr. Hamed Daei Kasmaei
Department of Applied Mathematics and Computer Science, Islamic Azad University,Central Tehran Branch, Tehran, Iran, Tehran, Iran
03Published Articles
The following articles have been published in this special issue.
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Issue: Volume 7, Issue 1-1, January 2018Pages: 12-17Received: 30 April 2017Accepted: 2 May 2017Published: 13 May 2017DOI: 10.11648/j.acm.s.2018070101.12Downloads:Views:Abstract: We introduce the concept “strongly equivalent” for integral algebraic equations (IAEs). This definition and its corresponding theorems construct powerful tools for the classifying and analyzing of IAEs (especially numerical analysis). The related theorems with short proofs provide powerful techniques for the complete convergence analysis of discret... Show More -
Issue: Volume 7, Issue 1-1, January 2018Pages: 1-11Received: 21 March 2017Accepted: 22 March 2017Published: 11 April 2017DOI: 10.11648/j.acm.s.2018070101.11Downloads:Views:Abstract: We study regularity of solutions of weakly singular Volterra integral equations of the first kind. We then study the numerical analysis of discontinuous piecewise polynomial collocation methods for solving such systems. The main purpose of this paper is the derivation of global convergent and super-convergent properties of introduced methods on the... Show More
