Existence Theory for q-Antiperiodic Boundary Value Problems of Sequential q-Fractional Integrodifferential Equations
We discuss the existence and uniqueness of solutions for a new class of sequential q-fractional integrodifferential equations with q-antiperiodic boundary conditions. Our results rely on the standard tools of fixed-point theory such as Krasnoselskii's fixed-point theorem, Leray-Schauder nonline...
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| Format: | Article |
| Language: | English |
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Wiley
2014-01-01
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| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/207547 |
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| author | Ravi P. Agarwal Bashir Ahmad Ahmed Alsaedi Hana Al-Hutami |
| author_facet | Ravi P. Agarwal Bashir Ahmad Ahmed Alsaedi Hana Al-Hutami |
| author_sort | Ravi P. Agarwal |
| collection | DOAJ |
| description | We discuss the existence and uniqueness of solutions for a new class of sequential q-fractional integrodifferential equations with q-antiperiodic boundary conditions. Our results rely on the standard tools of fixed-point theory such as Krasnoselskii's fixed-point theorem, Leray-Schauder nonlinear alternative, and Banach's contraction principle. An illustrative example is also presented. |
| format | Article |
| id | doaj-art-3a6f6b71e6754c699461fa088d4b2cf2 |
| institution | Kabale University |
| issn | 1085-3375 1687-0409 |
| language | English |
| publishDate | 2014-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Abstract and Applied Analysis |
| spelling | doaj-art-3a6f6b71e6754c699461fa088d4b2cf22025-02-03T05:44:01ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/207547207547Existence Theory for q-Antiperiodic Boundary Value Problems of Sequential q-Fractional Integrodifferential EquationsRavi P. Agarwal0Bashir Ahmad1Ahmed Alsaedi2Hana Al-Hutami3Department of Mathematics, Texas A&M University, Kingsville, TX 78363-8202, USANonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaNonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaNonlinear Analysis and Applied Mathematics Research Group (NAAM), King Abdulaziz University, P.O. Box 80203, Jeddah 21589, Saudi ArabiaWe discuss the existence and uniqueness of solutions for a new class of sequential q-fractional integrodifferential equations with q-antiperiodic boundary conditions. Our results rely on the standard tools of fixed-point theory such as Krasnoselskii's fixed-point theorem, Leray-Schauder nonlinear alternative, and Banach's contraction principle. An illustrative example is also presented.http://dx.doi.org/10.1155/2014/207547 |
| spellingShingle | Ravi P. Agarwal Bashir Ahmad Ahmed Alsaedi Hana Al-Hutami Existence Theory for q-Antiperiodic Boundary Value Problems of Sequential q-Fractional Integrodifferential Equations Abstract and Applied Analysis |
| title | Existence Theory for q-Antiperiodic Boundary Value Problems of Sequential q-Fractional Integrodifferential Equations |
| title_full | Existence Theory for q-Antiperiodic Boundary Value Problems of Sequential q-Fractional Integrodifferential Equations |
| title_fullStr | Existence Theory for q-Antiperiodic Boundary Value Problems of Sequential q-Fractional Integrodifferential Equations |
| title_full_unstemmed | Existence Theory for q-Antiperiodic Boundary Value Problems of Sequential q-Fractional Integrodifferential Equations |
| title_short | Existence Theory for q-Antiperiodic Boundary Value Problems of Sequential q-Fractional Integrodifferential Equations |
| title_sort | existence theory for q antiperiodic boundary value problems of sequential q fractional integrodifferential equations |
| url | http://dx.doi.org/10.1155/2014/207547 |
| work_keys_str_mv | AT ravipagarwal existencetheoryforqantiperiodicboundaryvalueproblemsofsequentialqfractionalintegrodifferentialequations AT bashirahmad existencetheoryforqantiperiodicboundaryvalueproblemsofsequentialqfractionalintegrodifferentialequations AT ahmedalsaedi existencetheoryforqantiperiodicboundaryvalueproblemsofsequentialqfractionalintegrodifferentialequations AT hanaalhutami existencetheoryforqantiperiodicboundaryvalueproblemsofsequentialqfractionalintegrodifferentialequations |