Fractional nonlocal impulsive quasilinear multi-delay integro-differential systems

• Published in: Advances in difference equations Vol. 2011; no. 1; pp. 1 - 10
• Main Author: Debbouche, Amar
• Format: Journal Article
• Language: English
• Published: Cham Springer International Publishing 24.05.2011; Springer Nature B.V; BioMed Central Ltd; SpringerOpen
• Subjects: Analysis; Banach space; Calculus; Classifications; Difference and Functional Equations; Difference equations; Existence theorems; fixed point theorem; Fractional integrodifferential systems; Fractional Models and their Applications; Functional Analysis; Mathematical analysis; Mathematics; Mathematics and Statistics; nonlocal and impulsive conditions; Operators; Ordinary Differential Equations; Partial Differential Equations; resolvent operators; Theorems; Fractional integrodifferential systems; nonlocal and impulsive conditions; resolvent operators; fixed point theorem

In this article, sufficient conditions for the existence result of quasilinear multi-delay integro-differential equations of fractional orders with nonlocal impulsive conditions in Banach spaces have been presented using fractional calculus, resolvent operators, and Banach fixed point theorem. As an...