Mild solutions of a class of semilinear fractional integro-differential equations subjected to noncompact nonlocal initial conditions

Mild solutions of a class of semilinear fractional integro-differential equations subjected to noncompact nonlocal initial conditions

Abstract In this paper, we prove the existence of mild solutions of a class of fractional semilinear integro-differential equations of order β ∈ (1, 2] subjected to noncompact initial nonlocal conditions. We assume that the linear part generates an arbitrarily strongly continuous...

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Autores principales: Aouane,Abdeldjalil, Djebali,Smaïl, Taoudi,Mohamed Aziz
Lenguaje:English
Publicado: Universidad de La Frontera. Departamento de Matemática y Estadística. 2020
Materias:
Cosine operator
fractional integro-differential operator, abstract differential equation
noncompact nonlocal condition
Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0719-06462020000300361
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