Electron. J. Diff. Equ., Vol. 2012 (2012), No. 187, pp. 1-26.

Existence of multiple positive solutions for fractional differential inclusions with m-point boundary conditions and two fractional orders

Nemat Nyamoradi, Mohamad Javidi

Abstract:
We study boundary-value problems of nonlinear fractional differential equations and inclusions with m-point boundary conditions. Several results are obtained by using suitable fixed point theorems when the right hand side has convex or non convex values.

Submitted August 28, 2012. Published October 28, 2012.
Math Subject Classifications: 47H10, 26A33, 34A08.
Key Words: Inclusion; multi point boundary value problem; cone; fixed point theorem; fractional derivative

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Nemat Nyamoradi
Department of Mathematics, Faculty of Sciences
Razi University, 67149 Kermanshah, Iran
email: nyamoradi@razi.ac.ir, neamat80@yahoo.com
Mohamad Javidi
Department of Mathematics, Faculty of Sciences
Razi University, 67149 Kermanshah, Iran
email: mo_javidi@yahoo.com

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