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On the fundamental solutions of a discontinuous fractional boundary value problem

The main purpose of this study is to investigate a fractional discontinuous Sturm-Liouville problem with transmission conditions. We shall consider a fractional boundary value problem involving an operator with two parts. It is shown that the eigenvalues and corresponding eigenfunctions of the main problem coincide with the eigenvalues and corresponding eigenfunctions of the...

On the fundamental solutions of a discontinuous fractional boundary value problem

The main purpose of this study is to investigate a fractional discontinuous Sturm-Liouville problem with transmission conditions. We shall consider a fractional boundary value problem involving an operator with two parts. It is shown that the eigenvalues and corresponding eigenfunctions of the main problem coincide with the eigenvalues and corresponding eigenfunctions of the...

On the fundamental solutions of a discontinuous fractional boundary value problem

The main purpose of this study is to investigate a fractional discontinuous Sturm-Liouville problem with transmission conditions. We shall consider a fractional boundary value problem involving an operator with two parts. It is shown that the eigenvalues and corresponding eigenfunctions of the main problem coincide with the eigenvalues and corresponding eigenfunctions of the...

Monotone Iterative Technique with Initial Time Difference for Fractional Differential Equations  ABSTRACT  |  FULL TEXT

Hacettepe Journal of Mathematics and Statistics Volume MONOTONE ITERATIVE TECHNIQUE WITH INITIAL TIME DIFFERENCE FOR FRACTIONAL DIFFERENTIAL EQUATIONS Co?skun Yakar 0 Ali Yakar 0 0 Communicated by A

Initial time difference quasilinearization for Caputo Fractional Differential Equations

This paper deals with an application of the method of quasilinearization by not demanding the Hölder continuity assumption of functions involved and by choosing upper and lower solutions with initial time difference for nonlinear Caputo fractional differential equations. Thus, we construct monotone flows that are generated by solutions of linear fractional differential equations...

Initial time difference quasilinearization for Caputo Fractional Differential Equations

Ali Yakar 0 0 tr Department of Statistics, Gaziosmanpasa University , Tasliciftlik Campus, 60250 Tokat , Turkey This paper deals with an application of the method of quasilinearization by not

Existence Results for Solutions of Nonlinear Fractional Differential Equations

of Primary Mathematics Education, Mevlana University, 34528 Konya, Turkey Received 15 February 2012; Accepted 1 April 2012 Academic Editor: Allaberen Ashyralyev Copyright © 2012 Ali Yakar and