Título: Special Functions and Analysis of Differential Equations
Autor: Praveen Agarwal
Sinopse: Differential Equations are very important tools in Mathematical Analysis. They are widely found in mathematics itself and in its applications to statistics, computing, electrical circuit analysis, dynamical systems, economics, biology, and so on. Recently there has been an increasing interest in and widely-extended use of differential equations and systems of fractional order (that is, of arbitrary order) as better models of phenomena in various physics, engineering, automatization, biology and biomedicine, chemistry, earth science, economics, nature, and so on. Now, new unified presentation and extensive development of special functions associated with fractional calculus are necessary tools, being related to the theory of differentiation and integration of arbitrary order (i.e., fractional calculus) and to the fractional order (or multi-order) differential and integral equations. This book provides learners with the opportunity to develop an understanding of advancements of special functions and the skills needed to apply advanced mathematical techniques to solve complex differential equations and Partial Differential Equations (PDEs). Subject matters should be strongly related to special functions involving mathematical analysis and its numerous applications. The main objective of this book is to highlight the importance of fundamental results and techniques of the theory of complex analysis for differential equations and PDEs and emphasizes articles devoted to the mathematical treatment of questions arising in physics, chemistry, biology, and engineering, particularly those that stress analytical aspects and novel problems and their solutions. Specific topics include but are not limited to Partial differential equations Least squares on first-order system Sequence and series in functional analysis Special functions related to fractional (non-integer) order control systems and equations Various special functions related to generalized fractional calculus Operational method in fractional calculus Functional analysis and operator theory Mathematical physics Applications of numerical analysis and applied mathematics Computational mathematics Mathematical modeling This book provides the recent developments in special functions and differential equations and publishes high-quality, peer-reviewed book chapters in the area of nonlinear analysis, ordinary differential equations, partial differential equations, and related applications.
Contexto da obra
Quando a classificação é mais ampla, o contexto do livro costuma depender ainda mais de autoria, tema e edição. “Special Functions and Analysis of Differential Equations”, de Praveen Agarwal, publicado pela editora CRC Press, em 2020 e com 349 páginas, integra a categoria Livros Variados. Por isso, autoria, edição e tema acabam tendo ainda mais peso na forma de apresentar o livro.
Editora: CRC Press
Páginas: 349
Ano: 2020
Edição:
Linguagem: English
ISBN: 1000078582
ISBN13: 9781000078589
Sobre a editora
Os livros da editora CRC Press apresentam uma leitura densa e focada em áreas técnicas e científicas, com ênfase em temas como ciências da vida, engenharia, matemática aplicada e ciências da computação. A experiência de leitura tende a ser informativa e detalhada, com textos que combinam rigor teórico e aplicações práticas, muitas vezes voltados para profissionais, pesquisadores e estudantes avançados. O tom é predominantemente formal e didático, privilegiando a clareza na exposição de conceitos complexos e dados técnicos. O catálogo revela uma predominância de obras que abordam desde fundamentos até avanços recentes, com formatos que incluem guias práticos, compêndios e referências especializadas. Há obras que exploram tanto aspectos teóricos, como modelagem matemática e física, quanto aplicações em áreas como medicina, toxicologia, segurança digital e engenharia de alimentos.
