The Existence of Solution for a k-Dimensional System of Multiterm Fractional Integrodifferential Equations with Antiperiodic Boundary Value Problems
There are many published papers about fractional integrodifferential equations and system of fractional differential equations. The goal of this paper is to show that we can investigate more complicated ones by using an appropriate basic theory. In this way, we prove the existence and uniqueness of...
Saved in:
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Wiley
2014-01-01
|
| Series: | Abstract and Applied Analysis |
| Online Access: | http://dx.doi.org/10.1155/2014/896871 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1832561864863645696 |
|---|---|
| author | Dumitru Baleanu Sayyedeh Zahra Nazemi Shahram Rezapour |
| author_facet | Dumitru Baleanu Sayyedeh Zahra Nazemi Shahram Rezapour |
| author_sort | Dumitru Baleanu |
| collection | DOAJ |
| description | There are many published papers about fractional integrodifferential equations and system of fractional differential equations. The goal of this paper is to show that we can investigate more complicated ones by using an appropriate basic theory. In this way, we prove the existence and uniqueness of solution for a k-dimensional system of multiterm fractional integrodifferential equations with antiperiodic boundary conditions by applying some standard fixed point results. An illustrative example is also presented. |
| format | Article |
| id | doaj-art-a8edb55b1d6e4f499cbce7c1e60689cc |
| 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-a8edb55b1d6e4f499cbce7c1e60689cc2025-02-03T01:24:07ZengWileyAbstract and Applied Analysis1085-33751687-04092014-01-01201410.1155/2014/896871896871The Existence of Solution for a k-Dimensional System of Multiterm Fractional Integrodifferential Equations with Antiperiodic Boundary Value ProblemsDumitru Baleanu0Sayyedeh Zahra Nazemi1Shahram Rezapour2Department of Chemical and Materials Engineering, Faculty of Engineering, King Abdulaziz University, P.O. Box 80204, Jeddah 21589, Saudi ArabiaDepartment of Mathematics, Azarbaijan Shahid Madani University, Azarshahr, Tabriz, IranDepartment of Mathematics, Azarbaijan Shahid Madani University, Azarshahr, Tabriz, IranThere are many published papers about fractional integrodifferential equations and system of fractional differential equations. The goal of this paper is to show that we can investigate more complicated ones by using an appropriate basic theory. In this way, we prove the existence and uniqueness of solution for a k-dimensional system of multiterm fractional integrodifferential equations with antiperiodic boundary conditions by applying some standard fixed point results. An illustrative example is also presented.http://dx.doi.org/10.1155/2014/896871 |
| spellingShingle | Dumitru Baleanu Sayyedeh Zahra Nazemi Shahram Rezapour The Existence of Solution for a k-Dimensional System of Multiterm Fractional Integrodifferential Equations with Antiperiodic Boundary Value Problems Abstract and Applied Analysis |
| title | The Existence of Solution for a k-Dimensional System of Multiterm Fractional Integrodifferential Equations with Antiperiodic Boundary Value Problems |
| title_full | The Existence of Solution for a k-Dimensional System of Multiterm Fractional Integrodifferential Equations with Antiperiodic Boundary Value Problems |
| title_fullStr | The Existence of Solution for a k-Dimensional System of Multiterm Fractional Integrodifferential Equations with Antiperiodic Boundary Value Problems |
| title_full_unstemmed | The Existence of Solution for a k-Dimensional System of Multiterm Fractional Integrodifferential Equations with Antiperiodic Boundary Value Problems |
| title_short | The Existence of Solution for a k-Dimensional System of Multiterm Fractional Integrodifferential Equations with Antiperiodic Boundary Value Problems |
| title_sort | existence of solution for a k dimensional system of multiterm fractional integrodifferential equations with antiperiodic boundary value problems |
| url | http://dx.doi.org/10.1155/2014/896871 |
| work_keys_str_mv | AT dumitrubaleanu theexistenceofsolutionforakdimensionalsystemofmultitermfractionalintegrodifferentialequationswithantiperiodicboundaryvalueproblems AT sayyedehzahranazemi theexistenceofsolutionforakdimensionalsystemofmultitermfractionalintegrodifferentialequationswithantiperiodicboundaryvalueproblems AT shahramrezapour theexistenceofsolutionforakdimensionalsystemofmultitermfractionalintegrodifferentialequationswithantiperiodicboundaryvalueproblems AT dumitrubaleanu existenceofsolutionforakdimensionalsystemofmultitermfractionalintegrodifferentialequationswithantiperiodicboundaryvalueproblems AT sayyedehzahranazemi existenceofsolutionforakdimensionalsystemofmultitermfractionalintegrodifferentialequationswithantiperiodicboundaryvalueproblems AT shahramrezapour existenceofsolutionforakdimensionalsystemofmultitermfractionalintegrodifferentialequationswithantiperiodicboundaryvalueproblems |