On a Multipoint Boundary Value Problem for a Fractional Order Differential Inclusion on an Infinite Interval
We investigate the existence of solutions for the following multipoint boundary value problem of a fractional order differential inclusion D0+αut+Ft,ut,u′t∋0, 0<t<+∞,u0=u′0=0,Dα-1u+∞-∑i=1m-2βiuξi=0, where D0+α is the standard Riemann-Liouville fractional derivative, 2<α<3 ,0<ξ1<ξ2...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Advances in Mathematical Physics |
| Online Access: | http://dx.doi.org/10.1155/2013/823961 |
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| author | Nemat Nyamoradi Dumitru Baleanu Ravi P. Agarwal |
| author_facet | Nemat Nyamoradi Dumitru Baleanu Ravi P. Agarwal |
| author_sort | Nemat Nyamoradi |
| collection | DOAJ |
| description | We investigate the existence of solutions for the following multipoint boundary value problem of a fractional order differential inclusion D0+αut+Ft,ut,u′t∋0, 0<t<+∞,u0=u′0=0,Dα-1u+∞-∑i=1m-2βiuξi=0, where D0+α is the standard Riemann-Liouville fractional derivative, 2<α<3 ,0<ξ1<ξ2<⋯<ξm-2<+∞, satisfies 0<∑i=1m-2βiξiα-1<Γ(α), and F:[0,+∞)×ℝ×ℝ→𝒫(ℝ) is a set-valued map. Several results are obtained by using suitable fixed point theorems when the right hand side has convex or nonconvex values. |
| format | Article |
| id | doaj-art-e0affcaf82f64b4089b1c08b3daa0e6e |
| institution | Kabale University |
| issn | 1687-9120 1687-9139 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Advances in Mathematical Physics |
| spelling | doaj-art-e0affcaf82f64b4089b1c08b3daa0e6e2025-08-20T03:26:00ZengWileyAdvances in Mathematical Physics1687-91201687-91392013-01-01201310.1155/2013/823961823961On a Multipoint Boundary Value Problem for a Fractional Order Differential Inclusion on an Infinite IntervalNemat Nyamoradi0Dumitru Baleanu1Ravi P. Agarwal2Department of Mathematics, Faculty of Sciences, Razi University, Kermanshah 67149, IranDepartment of Mathematics and Computer Sciences, Faculty of Art and Sciences, Cankaya University, 06530 Ankara, TurkeyDepartment of Mathematics, Texas A & M University-Kingsville, 700 University Boulevard, Kingsville, USAWe investigate the existence of solutions for the following multipoint boundary value problem of a fractional order differential inclusion D0+αut+Ft,ut,u′t∋0, 0<t<+∞,u0=u′0=0,Dα-1u+∞-∑i=1m-2βiuξi=0, where D0+α is the standard Riemann-Liouville fractional derivative, 2<α<3 ,0<ξ1<ξ2<⋯<ξm-2<+∞, satisfies 0<∑i=1m-2βiξiα-1<Γ(α), and F:[0,+∞)×ℝ×ℝ→𝒫(ℝ) is a set-valued map. Several results are obtained by using suitable fixed point theorems when the right hand side has convex or nonconvex values.http://dx.doi.org/10.1155/2013/823961 |
| spellingShingle | Nemat Nyamoradi Dumitru Baleanu Ravi P. Agarwal On a Multipoint Boundary Value Problem for a Fractional Order Differential Inclusion on an Infinite Interval Advances in Mathematical Physics |
| title | On a Multipoint Boundary Value Problem for a Fractional Order Differential Inclusion on an Infinite Interval |
| title_full | On a Multipoint Boundary Value Problem for a Fractional Order Differential Inclusion on an Infinite Interval |
| title_fullStr | On a Multipoint Boundary Value Problem for a Fractional Order Differential Inclusion on an Infinite Interval |
| title_full_unstemmed | On a Multipoint Boundary Value Problem for a Fractional Order Differential Inclusion on an Infinite Interval |
| title_short | On a Multipoint Boundary Value Problem for a Fractional Order Differential Inclusion on an Infinite Interval |
| title_sort | on a multipoint boundary value problem for a fractional order differential inclusion on an infinite interval |
| url | http://dx.doi.org/10.1155/2013/823961 |
| work_keys_str_mv | AT nematnyamoradi onamultipointboundaryvalueproblemforafractionalorderdifferentialinclusiononaninfiniteinterval AT dumitrubaleanu onamultipointboundaryvalueproblemforafractionalorderdifferentialinclusiononaninfiniteinterval AT ravipagarwal onamultipointboundaryvalueproblemforafractionalorderdifferentialinclusiononaninfiniteinterval |