Mild Solutions of Fractional Semilinear Integro-Differential Equations on an Unbounded Interval - Applied Mathematics

AM > Vol.4 No.7, July 2013

Applied Mathematics

Volume 4, Issue 7 (July 2013)

ISSN Print: 2152-7385 ISSN Online: 2152-7393

Google-based Impact Factor: 0.96 Citations

Mild Solutions of Fractional Semilinear Integro-Differential Equations on an Unbounded Interval ()

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DOI: 10.4236/am.2013.47A007 4,891 Downloads 8,069 Views Citations

Author(s)

Adel Jawahdou

Affiliation(s)

Department of Mathematics, University of Carthage, Bizerte Preparatory Engineering Institute, Jarzouna, Tunisia.

ABSTRACT

In this paper, we study the existence of mild solutions for fractional semilinear integro-differential equations in an arbitrary Banach space associated with operators generating compact semigroup on the Banach space. The arguments are based on the Schauder fixed point theorem.

KEYWORDS

Semilinear Integrodifferential Equations; Mild Solutions; Schauder Fixed Point Theorem

Share and Cite:

Jawahdou, A. (2013) Mild Solutions of Fractional Semilinear Integro-Differential Equations on an Unbounded Interval. Applied Mathematics, 4, 34-39. doi: 10.4236/am.2013.47A007.

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