Weighted pseudo Almost periodic solutions for fractional order stochastic impulsive differential equations

• Vikram Singh ^[1] ; Dwijendra N Pandey ^[1]
  1. [1] Indian Institute of Technology Roorkee Department of Mathematics
• Localización: Cubo: A Mathematical Journal, ISSN 0716-7776, ISSN-e 0719-0646, Vol. 19, Nº. 1, 2017, págs. 89-110
• Idioma: inglés
• DOI: 10.4067/S0719-06462017000100006
• Enlaces
  • Texto completo
• Resumen
  • español

    En este artículo estudiamos la existencia y unicidad de soluciones pseudo casi periódicas con pesos promedio cuadrado a trozos para una clase de ecuaciones diferenciales estocásticas impulsivas de orden fraccional. Las herramientas de trabajo están basadas en la técnica de punto fijo, operadores de potencia fraccional y análisis estocástico; los métodos y teoría están adaptados a partir de sistemas fraccionales deterministas. Adicionalmente, damos un ejemplo para ilustrar la teoría.

  • English

    In this paper, we deal with the existence and uniqueness of piecewise square meanweighted pseudo almost periodic solutions for a class of fractional order stochastic impulsive differential equations. The working tools are based on fixed point technique, fractional power operators and stochastic analysis; methods and theory are adopted from deterministic fractional systems. In addition, an example is given to illustrate the theory.

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