Bashir Ahmad, Sotiris K. Ntouyas
In this article, we discuss the existence of solutions for a boundary-value problem of integro-differential equations of fractional order with nonlocal fractional boundary conditions by means of some standard tools of fixed point theory. Our problem describes a more general form of fractional stochastic dynamic model for financial asset. An illustrative example is also presented.
Submitted December 6, 2012. Published February 26, 2013.
Math Subject Classifications: 34A08, 34B10, 34B15.
Key Words: Fractional differential equations; integral boundary conditions; existence; fixed point theorems; financial asset.
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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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