Electron. J. Diff. Equ., Vol. 2011 (2011), No. 166, pp. 1-8.

Positive nondecreasing solutions for a multi-term fractional-order functional differential equation with integral conditions

Ahmed M. A. El-Sayed, Ebtisam O. Bin-Taher

Abstract:
In this article, we prove the existence of positive nondecreasing solutions for a multi-term fractional-order functional differential equations. We consider Cauchy boundary problems with: nonlocal conditions, two-point boundary conditions, integral conditions, and deviated arguments.

Submitted June 14, 2011. Published December 14, 2011.
Math Subject Classifications: 34B10, 26A33.
Key Words: Fractional calculus; Cauchy problem; nonlocal condition; integral condition; functional differential equation; integral equation; deviated argument.

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Ahmed M. A El-Sayed
Faculty of Science
Alexandria University
Alexandria, Egypt
email: amasayed5@yahoo.com, amasayed@hotmail.com
  Ebtisam O. Bin-Taher
Faculty of Science, Hadhramout University of Sci. and Tech.
Hadhramout, Yemen
email: ebtsamsam@yahoo.com

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