Electron. J. Diff. Equ., Vol. 2015 (2015), No. 77, pp. 1-9.

Initial value problems of fractional order Hadamard-type functional differential equations

Bashir Ahmad, Sotiris K. Ntouyas

Abstract:
The Banach fixed point theorem and a nonlinear alternative of Leray-Schauder type are used to investigate the existence and uniqueness of solutions for fractional order Hadamard-type functional and neutral functional differential equations.

Submitted January 10, 2015. Published March 26, 2015.
Math Subject Classifications: 34A08, 34K05.
Key Words: Fractional differential equation; functional differential equation; Hadamard fractional differential equation; existence; fixed point.

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Bashir Ahmad
Department of Mathematics, Faculty of Science
King Abdulaziz University
P.O. Box 80203, Jeddah 21589, Saudi Arabia
email: bashirahmad_qau@yahoo.com
Sotiris K. Ntouyas
Department of Mathematics
University of Ioannina
451 10 Ioannina, Greece
email: sntouyas@uoi.gr

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