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Fuzzy differential functions are applicable to real-world problems in engineering, computer science, and social science. That relevance makes for rapid development of new ideas and theories. This volume is a timely introduction to the subject that describes the current state of the theory of fuzzy differential equations and inclusions and provides a systematic account of recent developments. The chapters are presented in a clear and logical way and include the preliminary material for fuzzy set theory; a description of calculus for fuzzy functions, an investigation of the basic theory of fuzzy differential equations, and an introduction to fuzzy differential inclusions.
This volume investigates the mathematical foundations and current theoretical advancements in the field of fuzzy differential equations and inclusions. The authors, V. Lakshmikantham and Ram N. Mohapatra, leverage their extensive expertise in nonlinear analysis to provide a rigorous framework for modeling uncertainty in dynamic systems. By synthesizing recent developments in fuzzy set theory and calculus, the text establishes a systematic approach for applying these concepts to complex problems in engineering and the social sciences.
What You Will Find
Experts recognize this work as a foundational text for researchers and graduate students seeking a structured entry point into fuzzy analysis. Readers frequently note the technical density of the prose, which requires a strong background in differential equations to fully grasp the presented methodologies.
Page Count:
192
Publication Date:
2003-01-01
Publisher:
Taylor & Francis, Inc.
ISBN-10:
0203011384
ISBN-13:
9780203011386
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