To diffuse and discuss the academic and scientific production in the psychology field. Its purpose is to recognize the need of coexistence among the many kinds of research in psychology, stimulating the constant debate as a mean of encouraging the scientific production.
The investigation of phenomena involving complex geometry, patterns and scaling has gone through a spectacular development in the past decades. For this relatively short time, geometrical and/or temporal scaling have been shown to represent the common aspects of many processes occurring in an unusually diverse range of fields including physics, mathematics, biology, chemistry, economics, technology and human behavior. As a rule, the complex nature of a phenomenon is manifested in the underlying intricate geometry which in most of the cases can be described in terms of objects with non-integer (fractal) dimension. In other cases, the distribution of events in time or various other quantities show specific scaling behavior, thus providing a better understanding of the relevant factors determining the given processes.Using fractal geometry and scaling as a language in the related theoretical, numerical and experimental investigations, it has been possible to get a deeper insight into previously intractable problems. Among many others, a better understanding of growth phenomena, turbulence, iterative functions, colloidal aggregation, biological pattern formation, stock markets and inhomogeneous materials has emerged through the application of such concepts as scale invariance, self-affinity and multifractality.The main challenge of the journal devoted exclusively to the above kinds of phenomena lies in its interdisciplinary nature; it is our commitment to bring together the most recent developments in these fields so that a fruitful interaction of various approaches and scientific views on complex spatial and temporal behaviors in both nature and society could take place.The journal "FRACTALS: Complex Geometry, Patterns, and Scaling in Nature and Society" will publish the following types of peer-reviewed articles.*Full-length research papers, *Short communications, *Reviews of both technical and pedagogical nature, and*Popular (educational, Scientific American type) articles.
Fractional Calculus and Applied Analysis (FCAA) is a specialized international journal based on worldwide editorship, authorship and readership. Since its beginning in 1998, the journal aims to be the most prestigious and suitable forum for publication of high quality original results and surveys on the FCAA topics, for exchange of ideas, discussions, open problems and announcements on recent and forthcoming books and events in the area. It was conceived as a meeting place for pure and applied mathematicians, theoretical physicists and researchers in other natural and social sciences, engineers, and all interested in FCAA topics.
After 13 years of publication history at IMI - BAS (http://www.math.bas.bg/index_classic.html,
archives at: http://www.math.bas.bg/~fcaa , http://www.diogenes.bg/fcaa),
the FCAA journal is now co-published by Versita and Springer.
The primary topics of FCAA are:
- Fractional Calculus
- Special Functions and Integral Transforms, related to Fractional Calculus
- Fractional Order Differential and Integral Equations and Systems
- Mathematical Models of Phenomena, described by the above topics
Secondary topics of FCAA include related areas of applied analysis, such as:
- Algebraic Analysis, Operational and Convolutional Calculi
- Generalized Functions, Harmonic Analysis
- Series, Orthogonal Polynomials, Special Functions of Mathematical Physics
- Numerical and Approximation Methods, Computational Procedures and
Algorithms, related to the Primary FCAA topics
- Fractional Stochastic Processes
- Fractal and Integral Geometry
Applications of these techniques to:
- Differential and Integral Equations, Problems of Mathematical Physics
- Control Theory, Mechanics, Probability and Statistics, Finances, Engineering,, etc.
Other contributions:
- If revealing connections between Fractional Calculus and the
above-mentioned topics to model problems of the real physical and social world
Suggested MSC 2010 entries: (link http://msc2010.org/msc2010final2-Aug10.pdf)
- 26A33: 33E12, 34A08, 34K37, 35R11, 60G22 (primary)
- 30C45, 30E15, 31B15, 33C60, 33E30, 34A25, 42A45, 42C10,
44A20, 44A35, 44A40, 45E10, 93B60, 93D09, 05C72, etc. (secondary)