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
• ISSN: 1687-1847; 1687-1839; 1687-1847
• DOI: 10.1186/1687-1847-2011-5

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 application that illustrates the abstract results, a nonlocal impulsive quasilinear multi-delay integro-partial differential system of fractional order is given. AMS Subject Classifications . 34K05, 34G20, 26A33, 35A05.