O mundo da tomada de decisão e dos operadores matemáticos
Palavras-chave:
Cálculo fracionário; Operadores de Caputo; Equações diferenciais fracionárias; Funções de Mittag-Leffler; Métodos numéricos de Adams.Sinopse
Este livro oferece uma base matemática rigorosa para o cálculo fracionário e sua aplicação na tomada de decisões. Explora os operadores diferenciais e integrais fracionários de Riemann-Liouville e Caputo, fundamentais para modelar sistemas com memória em fenômenos do mundo real: viscoelasticidade, neurociência, finanças e dinâmicas sociais. Por meio de teoremas de existência, unicidade e estabilidade, são analisadas equações diferenciais fracionárias de um e múltiplos termos. Inclui funções de Mittag-Leffler e métodos numéricos de Adams-Bashforth-Moulton. Ideal para matemáticos, engenheiros e cientistas aplicados que buscam ferramentas avançadas além do cálculo tradicional.
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