Existence Results for Langevin Fractional Differential Inclusions Involving Two Fractional Orders with Four-Point Multiterm Fractional Integral Boundary Conditions
We discuss the existence of solutions for Langevin fractional differential inclusions involving two fractional orders with four-point multiterm fractional integral boundary conditions. Our study relies on standard fixed point theorems for multivalued maps and covers the cases when the right-hand sid...
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2013/869837 |
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| author | Ahmed Alsaedi Sotiris K. Ntouyas Bashir Ahmad |
| author_facet | Ahmed Alsaedi Sotiris K. Ntouyas Bashir Ahmad |
| author_sort | Ahmed Alsaedi |
| collection | DOAJ |
| description | We discuss the existence of solutions for Langevin fractional differential inclusions involving two fractional orders with four-point multiterm fractional integral boundary conditions. Our study relies on standard fixed point theorems for multivalued maps and covers the cases when the right-hand side of the inclusion has convex as well as nonconvex values. Illustrative examples are also presented. |
| format | Article |
| id | doaj-art-478c003992c84f688c8d89101113e76b |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-478c003992c84f688c8d89101113e76b2025-02-03T06:01:13ZengWileyAbstract and Applied Analysis1085-33751687-04092013-01-01201310.1155/2013/869837869837Existence Results for Langevin Fractional Differential Inclusions Involving Two Fractional Orders with Four-Point Multiterm Fractional Integral Boundary ConditionsAhmed Alsaedi0Sotiris K. Ntouyas1Bashir Ahmad2Department of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, University of Ioannina, 451 10 Ioannina, GreeceDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaWe discuss the existence of solutions for Langevin fractional differential inclusions involving two fractional orders with four-point multiterm fractional integral boundary conditions. Our study relies on standard fixed point theorems for multivalued maps and covers the cases when the right-hand side of the inclusion has convex as well as nonconvex values. Illustrative examples are also presented.http://dx.doi.org/10.1155/2013/869837 |
| spellingShingle | Ahmed Alsaedi Sotiris K. Ntouyas Bashir Ahmad Existence Results for Langevin Fractional Differential Inclusions Involving Two Fractional Orders with Four-Point Multiterm Fractional Integral Boundary Conditions Abstract and Applied Analysis |
| title | Existence Results for Langevin Fractional Differential Inclusions Involving Two Fractional Orders with Four-Point Multiterm Fractional Integral Boundary Conditions |
| title_full | Existence Results for Langevin Fractional Differential Inclusions Involving Two Fractional Orders with Four-Point Multiterm Fractional Integral Boundary Conditions |
| title_fullStr | Existence Results for Langevin Fractional Differential Inclusions Involving Two Fractional Orders with Four-Point Multiterm Fractional Integral Boundary Conditions |
| title_full_unstemmed | Existence Results for Langevin Fractional Differential Inclusions Involving Two Fractional Orders with Four-Point Multiterm Fractional Integral Boundary Conditions |
| title_short | Existence Results for Langevin Fractional Differential Inclusions Involving Two Fractional Orders with Four-Point Multiterm Fractional Integral Boundary Conditions |
| title_sort | existence results for langevin fractional differential inclusions involving two fractional orders with four point multiterm fractional integral boundary conditions |
| url | http://dx.doi.org/10.1155/2013/869837 |
| work_keys_str_mv | AT ahmedalsaedi existenceresultsforlangevinfractionaldifferentialinclusionsinvolvingtwofractionalorderswithfourpointmultitermfractionalintegralboundaryconditions AT sotiriskntouyas existenceresultsforlangevinfractionaldifferentialinclusionsinvolvingtwofractionalorderswithfourpointmultitermfractionalintegralboundaryconditions AT bashirahmad existenceresultsforlangevinfractionaldifferentialinclusionsinvolvingtwofractionalorderswithfourpointmultitermfractionalintegralboundaryconditions |