Semilinear functional differential equations with fractional order and finite delay

Mohammed Belmekki; Kheira Mekhalfi; Sotiris K. Ntouyas

doi:10.26637/mjm0101/010

Abstract

In this paper, we establish sufficient conditions for existence and uniqueness of solutions for semilinear functional differential equations with finite delay involving the Riemann-Liouville fractional derivative. Our approach is based on resolvent operators, the Banach contraction principle, and the nonlinear alternative of Leray-Schauder type.

Keywords:

Semilinear functional differential equation, fractional derivative, fractional integral, fixed point, mild solutions, resolvent operator

Mathematics Subject Classification:

34A08, 34K05

Authors Imprint References Funding Related Articles Downloads

Mohammed Belmekki Department of Mathematics, Saida University, BP 138, 20000 Saida, Algeria. https://orcid.org/0000-0002-3802-7212
Kheira Mekhalfi Department of Mathematics, Saida University, BP 138, 20000 Saida, Algeria. https://orcid.org/0000-0002-3799-1878
Sotiris K. Ntouyas Department of Mathematics, University of Ioannina, 451 10 Ioannina, Greece. https://orcid.org/0000-0002-7695-2118

Pages: 73-81
Date Published: 01-09-2012
Vol. 1 No. 1 (2012): Inaugural Issue :: Malaya Journal of Matematik (MJM)

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