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Mild Solutions of Fractional Semilinear Integro-Differential Equations on an Unbounded Interval
Department of Mathematics, University of Carthage, Bizerte Preparatory Engineering Institute, Jarzouna, Tunisia
- 1 Department of Mathematics, University of Carthage, Bizerte Preparatory Engineering Institute, Jarzouna, Tunisia
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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.
KeywordsSemilinear Integrodifferential EquationsMild SolutionsSchauder Fixed Point Theorem
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