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Start Over Descriptor "Fractional integral" Topic fixed point theory Topic fractional calculus Journal nonlinear analysis
1 results on '"Fractional integral"'

1. Existence results for fractional order semilinear functional differential equations with nondense domain

Author

Belmekki, Mohammed and Benchohra, Mouffak

Subjects
*EXISTENCE theorems, *FRACTIONAL calculus, *NONLINEAR functional analysis, *NUMERICAL solutions to functional differential equations, *BANACH spaces, *FIXED point theory
Abstract

Abstract: In this paper, we establish sufficient conditions for existence and uniqueness of solutions for some nondensely defined semilinear functional differential equations involving the Riemann–Liouville derivative. Our approach is based on integrated semigroup theory, the Banach contraction principle, and the nonlinear alternative of Leray–Schauder type. [Copyright &y& Elsevier]

Published
2010
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