Existence and Numerical Simulation of Solutions for Fractional Equations Involving Two Fractional Orders with Nonlocal Boundary Conditions
We study a boundary value problem for fractional equations involving two fractional orders. By means of a fixed point theorem, we establish sufficient conditions for the existence and uniqueness of solutions for the fractional equations. In addition, we describe the dynamic behaviors of the fraction...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
2013-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2013/268347 |
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| _version_ | 1832548939742576640 |
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| author | Jing Zhao Peifen Lu Yiliang Liu |
| author_facet | Jing Zhao Peifen Lu Yiliang Liu |
| author_sort | Jing Zhao |
| collection | DOAJ |
| description | We study a boundary value problem for fractional equations involving two fractional orders. By means of a fixed point theorem, we establish sufficient conditions for the existence and uniqueness of solutions for the fractional equations. In addition, we describe the dynamic behaviors of the fractional Langevin equation by using the G2 algorithm. |
| format | Article |
| id | doaj-art-2a1a7a6786e645659eca795e62dc8ad6 |
| institution | Kabale University |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2013-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-2a1a7a6786e645659eca795e62dc8ad62025-02-03T06:12:38ZengWileyJournal of Applied Mathematics1110-757X1687-00422013-01-01201310.1155/2013/268347268347Existence and Numerical Simulation of Solutions for Fractional Equations Involving Two Fractional Orders with Nonlocal Boundary ConditionsJing Zhao0Peifen Lu1Yiliang Liu2Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis and College of Sciences, Guangxi University for Nationalities, Nanning, Guangxi 530006, ChinaGuangxi Key Laboratory of Hybrid Computation and IC Design Analysis and College of Sciences, Guangxi University for Nationalities, Nanning, Guangxi 530006, ChinaGuangxi Key Laboratory of Hybrid Computation and IC Design Analysis and College of Sciences, Guangxi University for Nationalities, Nanning, Guangxi 530006, ChinaWe study a boundary value problem for fractional equations involving two fractional orders. By means of a fixed point theorem, we establish sufficient conditions for the existence and uniqueness of solutions for the fractional equations. In addition, we describe the dynamic behaviors of the fractional Langevin equation by using the G2 algorithm.http://dx.doi.org/10.1155/2013/268347 |
| spellingShingle | Jing Zhao Peifen Lu Yiliang Liu Existence and Numerical Simulation of Solutions for Fractional Equations Involving Two Fractional Orders with Nonlocal Boundary Conditions Journal of Applied Mathematics |
| title | Existence and Numerical Simulation of Solutions for Fractional Equations Involving Two Fractional Orders with Nonlocal Boundary Conditions |
| title_full | Existence and Numerical Simulation of Solutions for Fractional Equations Involving Two Fractional Orders with Nonlocal Boundary Conditions |
| title_fullStr | Existence and Numerical Simulation of Solutions for Fractional Equations Involving Two Fractional Orders with Nonlocal Boundary Conditions |
| title_full_unstemmed | Existence and Numerical Simulation of Solutions for Fractional Equations Involving Two Fractional Orders with Nonlocal Boundary Conditions |
| title_short | Existence and Numerical Simulation of Solutions for Fractional Equations Involving Two Fractional Orders with Nonlocal Boundary Conditions |
| title_sort | existence and numerical simulation of solutions for fractional equations involving two fractional orders with nonlocal boundary conditions |
| url | http://dx.doi.org/10.1155/2013/268347 |
| work_keys_str_mv | AT jingzhao existenceandnumericalsimulationofsolutionsforfractionalequationsinvolvingtwofractionalorderswithnonlocalboundaryconditions AT peifenlu existenceandnumericalsimulationofsolutionsforfractionalequationsinvolvingtwofractionalorderswithnonlocalboundaryconditions AT yiliangliu existenceandnumericalsimulationofsolutionsforfractionalequationsinvolvingtwofractionalorderswithnonlocalboundaryconditions |