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            <front>

                <journal-meta>
                                    <journal-id></journal-id>
            <journal-title-group>
                                                                                    <journal-title>Hacettepe Journal of Mathematics and Statistics</journal-title>
            </journal-title-group>
                            <issn pub-type="ppub">2651-477X</issn>
                                        <issn pub-type="epub">2651-477X</issn>
                                                                                            <publisher>
                    <publisher-name>Hacettepe University</publisher-name>
                </publisher>
                    </journal-meta>
                <article-meta>
                                        <article-id/>
                                                                <article-categories>
                                            <subj-group  xml:lang="en">
                                                            <subject>Mathematical Sciences</subject>
                                                    </subj-group>
                                            <subj-group  xml:lang="tr">
                                                            <subject>Matematik</subject>
                                                    </subj-group>
                                    </article-categories>
                                                                                                                                                        <title-group>
                                                                                                                        <article-title>The multiplicity of positive solutions for systems of  fractional boundary value problems</article-title>
                                                                                                                                        </title-group>
            
                                                    <contrib-group content-type="authors">
                                                                        <contrib contrib-type="author">
                                                                    <contrib-id contrib-id-type="orcid">
                                        https://orcid.org/0000-0003-1082-7215</contrib-id>
                                                                <name>
                                    <surname>Yoruk Deren</surname>
                                    <given-names>Fulya</given-names>
                                </name>
                                                                    <aff>EGE UNIVERSITY, FACULTY OF SCIENCE</aff>
                                                            </contrib>
                                                                                </contrib-group>
                        
                                        <pub-date pub-type="pub" iso-8601-date="20191208">
                    <day>12</day>
                    <month>08</month>
                    <year>2019</year>
                </pub-date>
                                        <volume>48</volume>
                                        <issue>6</issue>
                                        <fpage>1626</fpage>
                                        <lpage>1634</lpage>
                        
                        <history>
                                    <date date-type="received" iso-8601-date="20180309">
                        <day>03</day>
                        <month>09</month>
                        <year>2018</year>
                    </date>
                                                    <date date-type="accepted" iso-8601-date="20180519">
                        <day>05</day>
                        <month>19</month>
                        <year>2018</year>
                    </date>
                            </history>
                                        <permissions>
                    <copyright-statement>Copyright © 2002, Hacettepe Journal of Mathematics and Statistics</copyright-statement>
                    <copyright-year>2002</copyright-year>
                    <copyright-holder>Hacettepe Journal of Mathematics and Statistics</copyright-holder>
                </permissions>
            
                                                                                                <abstract><p>This paper focuses on the multiple positive solutions for a coupled system of  nonlinear boundary value problems of fractional order. Our approach is based on a fixed point theorem due to Bai and Ge. Also, an example is given to demonstrate the applicability of our main result.</p></abstract>
                                                                                    
            
                                                            <kwd-group>
                                                    <kwd>multiple positive solution</kwd>
                                                    <kwd>  fractional differential equation</kwd>
                                                    <kwd>  fixed point theorem</kwd>
                                            </kwd-group>
                                                        
                                                                                                                                                    </article-meta>
    </front>
    <back>
                            <ref-list>
                                    <ref id="ref1">
                        <label>1</label>
                        <mixed-citation publication-type="journal">[1] Z.E. Abidine, Multiple Positive Solutions for a Coupled System of Nonlinear Fractional
Differential Equations on the Half-line, Mediterr. J. Math. 14, Article No: 142,
16 pages, 2017.</mixed-citation>
                    </ref>
                                    <ref id="ref2">
                        <label>2</label>
                        <mixed-citation publication-type="journal">[2] B. Ahmad and J.J. Nieto, Existence results for a coupled system of nonlinear fractional
differential equations with three-point boundary conditions, Comput. Math. Appl. 58,
1838-1843, 2009.</mixed-citation>
                    </ref>
                                    <ref id="ref3">
                        <label>3</label>
                        <mixed-citation publication-type="journal">[3] B. Ahmad, J.J. Nieto, A. Alsaedi and M.H. Aqlan, A Coupled System of Caputo-Type
Sequential Fractional Differential Equations with Coupled (Periodic/Anti-periodic
Type) Boundary Conditions, Mediterr. J. Math. 14, Article No: 227, 2017.</mixed-citation>
                    </ref>
                                    <ref id="ref4">
                        <label>4</label>
                        <mixed-citation publication-type="journal">[4] Z. Bai and W. Ge, Existence of three positive solutions for some second-order boundary
value problems, Comput. Math. Appl. 48, 699-707, 2004.</mixed-citation>
                    </ref>
                                    <ref id="ref5">
                        <label>5</label>
                        <mixed-citation publication-type="journal">[5] T.S. Cerdik, N.A. Hamal and F. Yoruk Deren, Existence of solutions for nonlinear
fractional differential equations with m-point integral boundary conditions, Dynam.
Systems Appl. 24, 283-294, 2015.</mixed-citation>
                    </ref>
                                    <ref id="ref6">
                        <label>6</label>
                        <mixed-citation publication-type="journal">[6] K. Deimling, Nonlinear Functional Analysis, Springer, Berlin, 1985.</mixed-citation>
                    </ref>
                                    <ref id="ref7">
                        <label>7</label>
                        <mixed-citation publication-type="journal">[7] J. Henderson and R. Luca, Positive solutions for a system of nonlocal fractional
boundary value problems, Fract. Calc. Appl. Anal. 16 (4), 985-1008, 2013.</mixed-citation>
                    </ref>
                                    <ref id="ref8">
                        <label>8</label>
                        <mixed-citation publication-type="journal">[8] J. Henderson and R. Luca, Positive solutions for a system of semipositone coupled
fractional boundary value problems, Bound. Value Probl. 2016, Article No: 61, 2016.</mixed-citation>
                    </ref>
                                    <ref id="ref9">
                        <label>9</label>
                        <mixed-citation publication-type="journal">[9] J. Henderson and R. Luca, Systems of Riemann-Liouville fractional equations with
multi-point boundary conditions, Appl. Math. Comput. 309, 303-323, 2017.</mixed-citation>
                    </ref>
                                    <ref id="ref10">
                        <label>10</label>
                        <mixed-citation publication-type="journal">[10] A.A. Kilbas, H.M. Srivastava and J.J. Trujillo, Theory and applications of fractional
differential equations, in: North-Holland Mathematics Studies 204, Elsevier Science
B.V, Amsterdam, 2006.</mixed-citation>
                    </ref>
                                    <ref id="ref11">
                        <label>11</label>
                        <mixed-citation publication-type="journal">[11] Y. Liu, New existence results for positive solutions of boundary value problems for
coupled systems of multi-term fractional differential equations, Hacet. J. Math. Stat.
45 (2), 391-416, 2016.</mixed-citation>
                    </ref>
                                    <ref id="ref12">
                        <label>12</label>
                        <mixed-citation publication-type="journal">[12] N. Nyamoradi, Multiple positive solutions for fractional differential systems, Ann Univ
Ferrara 58, 359-369, 2012.</mixed-citation>
                    </ref>
                                    <ref id="ref13">
                        <label>13</label>
                        <mixed-citation publication-type="journal">[13] I. Podlubny, Fractional Differential Equations, Academic Press, San Diego, 1999.</mixed-citation>
                    </ref>
                                    <ref id="ref14">
                        <label>14</label>
                        <mixed-citation publication-type="journal">[14] X. Su, Boundary value problem for a coupled system of nonlinear fractional differential
equations, Appl. Math. Lett. 22, 64-69, 2009.</mixed-citation>
                    </ref>
                                    <ref id="ref15">
                        <label>15</label>
                        <mixed-citation publication-type="journal">[15] Y.Wang, Positive solutions for a system of fractional integral boundary value problem,
Bound. Value Probl. 2013, Article No: 256, 2013.</mixed-citation>
                    </ref>
                                    <ref id="ref16">
                        <label>16</label>
                        <mixed-citation publication-type="journal">[16] A. Yang and W. Ge, Positive Solutions for Boundary Value Problems of N-Dimension
Nonlinear Fractional Differential System, Bound. Value Probl. 2008, Article ID
437453, 15 pages, 2008.</mixed-citation>
                    </ref>
                                    <ref id="ref17">
                        <label>17</label>
                        <mixed-citation publication-type="journal">[17] A. Yang and H. Wang, Positive solutions for higher-order nonlinear fractional differential
equation with integral boundary condition, Electron. J. Qual. Theory Differ.
Equ. 2011 (1), 1-15, 2011.</mixed-citation>
                    </ref>
                            </ref-list>
                    </back>
    </article>
