Abstract and Applied Analysis

Advances on Integrodifferential Equations and Transforms


1Department of Mathematics and Statistics, University of Victoria, Victoria, British Columbia V8W 3R4, Canada

2Department of Mathematics and Mechanics, China University of Mining and Technology, Xuzhou, Jiangsu 221008, China

3Department of Mathematics and Computer Sciences, Faculty of Art and Sciences, Cankaya University, Balgat, 06530 Ankara, Turkey

4Departamento de Analisis Matematico, Facultad de Matematicas,Universidad de Santiago de Compostela, 15782 Santiago, Spain

5Department of Chemical Engineering, University of Chemical Technology and Metallurgy, 8 Kliment Ohridsky Boulevard, 1756 Sofia, Bulgaria

Advances on Integrodifferential Equations and Transforms


In recent years, there has been an increasing interest in modeling of the dynamical processes in various diverse areas of mathematical and engineering sciences. Many families of these integrodifferential equations have been developed from both theoretical and applied viewpoints. However, many things have to be clarified and investigated extensively in these currently popular research areas.

In order to solve some of the aforementioned problems, the works of many of the authors from different fields of science and engineering ought to be looked into and investigated further. Intensive work around the real-world and other interdisciplinary applications covers a lot of novel theoretical analysis for existence, uniqueness, and stability of their solutions. Moreover, there is genuine need for new analytical and numerical methods and techniques for solving the interval and fuzzy fractional/time-scale differential equations.

Interested authors are cordially invited to present original research articles as well as review articles in the area of integrodifferential equations and transforms. This special issue will be an international forum for researchers to present the most recent developments and ideas in the field. Potential topics include, but are not limited to:

  • Existence, uniqueness, and stability of solutions
  • Analytical and numerical methods
  • Local fractional calculus operators
  • Fractional differintegral equations
  • Integral transforms and their related operational calculus
  • Fractional and local fractional integral transforms and related transform topics
  • Interval and fuzzy fractional/time-scale differential equations
  • Real-world and other interdisciplinary applications

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Abstract and Applied Analysis
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