Bashir Ahmad, Sotiris K. Ntouyas
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
| Sotiris K. Ntouyas |
Department of Mathematics
University of Ioannina
451 10 Ioannina, Greece
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