Bashir Ahmad, Sotiris K. Ntouyas
Abstract:
In this article, we discuss the existence of solutions for an initial-value
problem of nonlinear hybrid differential equations of Hadamard type.
The main result is proved by means of a fixed point theorem due to Dhage.
An example illustrating the existence result is also presented.
Submitted May 17, 2014. Published July 24, 2014.
Math Subject Classifications: 34A08, 34B18.
Key Words: Hadamard fractional derivative; initial value problem;
fixed point theorem; existence.
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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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