Electronic Journal of Differential Equations,
Vol. 2013 (2013), No. 60, pp. 1-10.

Title: Integro-differential equations of fractional order
       with nonlocal fractional boundary conditions associated with
       financial asset model
        
Authors: Bashir Ahmad (King Abdulaziz Univ., Jeddah, Saudi Arabia)
         Sotiris K. Ntouyas  (Univ. of Ioannina, Greece)

Abstract:
 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.