O mundo da tomada de decisão e dos operadores matemáticos

Autores

Santiago Esteban Contreras Aranda
Universidad Nacional Mayor de San Marcos | Lima | Perú
https://orcid.org/0000-0002-0698-0893
Bertha Ulloa Rubio
Universidad César Vallejo | Trujillo | Perú
https://orcid.org/0000-0002-3438-9371

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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Biografia do Autor

Santiago Esteban Contreras Aranda, Universidad Nacional Mayor de San Marcos | Lima | Perú

Doctor en Ingeniería de Sistemas UNFV, Maestro en Ingeniería de Transportes Universidad Federal de Rio de Janeiro Brasil, Licenciado en Matemática Pura en Universidad Nacional Mayor de San Marcos, experiencia en modelaje matemático con enfoque holístico y pensamiento Sistémico. Con muchas publicaciones y es RENACYT en Perú.

Bertha Ulloa Rubio, Universidad César Vallejo | Trujillo | Perú

Doctora en Administración de la Educación, Maestra en Ingeniería de Sistemas y Computación UFRJ - Brasil Doctorado (e) en Ing. de Producción UENF- Brasil Docente Universitario Exdocente e investigadora Universidad Estadual do Norte Fluminense.

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July 6, 2026

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Contreras Aranda, S. E., & Ulloa Rubio, B. (2026). O mundo da tomada de decisão e dos operadores matemáticos. Atik Editorial. https://doi.org/10.46652/atikbook27