Abstract and Applied Analysis

Generalized Differential and Integral Equations


Publishing date
04 Oct 2013
Status
Published
Submission deadline
17 May 2013

1Department of Mathematical Analysis, University of Santiago de Compostela, Santiago de Compostela, Spain

2Department of Mathematics, Belmont University, Nashville, TN, USA

3Instituto de Ciencias Matematica e de Computacao, Universidade de São Paulo, Campus de São Carlos, Caixa São Carlos, SP, Brazil


Generalized Differential and Integral Equations

Description

The last few years have witnessed an increasing interest on different types of differential and integral equations as mathematical models for real life situations. Besides the classical examples of impulsive equations or equations with deviating arguments, many other types of revisions of the classical concepts of differential or integral equations are being intensively studied: set-valued equations, stochastic equations, fractional equations, fuzzy equations, and many more. On the other hand, the basic analysis of differential and integral equations, even in their classical forms, is still being developed for discontinuous or singular equations.

This special issue aims to gather significant and up-to-date contributions to the theory and applications of generalized types of differential and integral equations and equations under weak assumptions. Papers based on fixed point theorems or theory of functions applied to these equations are especially welcome. Potential topics include, but are not limited to:

  • Generalized differential and integral equations (such as differential inclusions, stochastic equations, and fractional equations, but not restricted to these three)
  • Discontinuous or singular equations
  • Fixed-point theorems with applications to differential equations
  • Generalized integration with applications to differential equations

Before submission authors should carefully read over the journal's Author Guidelines, which are located at http://www.hindawi.com/journals/aaa/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/aaa/gfi/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2014
  • - Article ID 285492
  • - Editorial

Generalized Differential and Integral Equations

Rodrigo López Pouso | Daniel C. Biles | Márcia Federson
  • Special Issue
  • - Volume 2014
  • - Article ID 260409
  • - Review Article

A Survey of Recent Results for the Generalizations of Ordinary Differential Equations

Daniel C. Biles | Márcia Federson | Rodrigo López Pouso
  • Special Issue
  • - Volume 2014
  • - Article ID 932696
  • - Research Article

Fuzzy Integral Equations and Strong Fuzzy Henstock Integrals

Yabin Shao | Huanhuan Zhang
  • Special Issue
  • - Volume 2013
  • - Article ID 275494
  • - Research Article

On the Behaviour of Singular Semigroups in Intermediate and Interpolation Spaces and Its Applications to Maximal Regularity for Degenerate Integro-Differential Evolution Equations

Alberto Favaron | Angelo Favini
  • Special Issue
  • - Volume 2013
  • - Article ID 196308
  • - Research Article

Solving a System of Linear Volterra Integral Equations Using the Modified Reproducing Kernel Method

Li-Hong Yang | Hong-Ying Li | Jing-Ran Wang
  • Special Issue
  • - Volume 2013
  • - Article ID 603703
  • - Research Article

The Method of Coupled Fixed Points and Coupled Quasisolutions When Working with ODE’s with Arguments of Bounded Variation

Rubén Figueroa
  • Special Issue
  • - Volume 2013
  • - Article ID 927873
  • - Research Article

Null Field and Interior Field Methods for Laplace’s Equation in Actually Punctured Disks

Hung-Tsai Huang | Ming-Gong Lee | ... | John Y. Chiang
  • Special Issue
  • - Volume 2013
  • - Article ID 735128
  • - Research Article

A Numerical Method for Fuzzy Differential Equations and Hybrid Fuzzy Differential Equations

K. Ivaz | A. Khastan | Juan J. Nieto
  • Special Issue
  • - Volume 2013
  • - Article ID 489804
  • - Research Article

Oscillation Criteria of First Order Neutral Delay Differential Equations with Variable Coefficients

Fatima N. Ahmed | Rokiah Rozita Ahmad | ... | Mohd Salmi Md Noorani
  • Special Issue
  • - Volume 2013
  • - Article ID 329704
  • - Research Article

A Note on Parabolic Homogenization with a Mismatch between the Spatial Scales

Liselott Flodén | Anders Holmbom | ... | Jens Persson
Abstract and Applied Analysis
 Journal metrics
Acceptance rate13%
Submission to final decision48 days
Acceptance to publication84 days
CiteScore0.580
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