Existence of Solutions for Anti-Periodic Fractional Differential Inclusions with ψ-Caupto Fractional Derivative
In this paper, we investigate the existence of solutions for a class of fractional boundary value problems with anti-periodic boundary value conditions with ψ-Caupto fractional derivative. By means of some standard fixed point theorems, sufficient conditions for the existence of solutions for the fr...
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| Format: | Article |
| Language: | English |
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Wiley
2019-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Online Access: | http://dx.doi.org/10.1155/2019/9824623 |
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| _version_ | 1832567862033645568 |
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| author | Dandan Yang Chuanzhi Bai |
| author_facet | Dandan Yang Chuanzhi Bai |
| author_sort | Dandan Yang |
| collection | DOAJ |
| description | In this paper, we investigate the existence of solutions for a class of fractional boundary value problems with anti-periodic boundary value conditions with ψ-Caupto fractional derivative. By means of some standard fixed point theorems, sufficient conditions for the existence of solutions for the fractional differential inclusions with ψ-Caputo derivatives are presented. Our result generalizes the known special case if ψx=x and single known results to the multi-valued ones. |
| format | Article |
| id | doaj-art-532b0cd0ab9648368dfed93587d9aa3d |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2019-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-532b0cd0ab9648368dfed93587d9aa3d2025-02-03T01:00:22ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2019-01-01201910.1155/2019/98246239824623Existence of Solutions for Anti-Periodic Fractional Differential Inclusions with ψ-Caupto Fractional DerivativeDandan Yang0Chuanzhi Bai1School of Mathematical Science, Huaiyin Normal University, Huaian, Jiangsu 223300, ChinaSchool of Mathematical Science, Huaiyin Normal University, Huaian, Jiangsu 223300, ChinaIn this paper, we investigate the existence of solutions for a class of fractional boundary value problems with anti-periodic boundary value conditions with ψ-Caupto fractional derivative. By means of some standard fixed point theorems, sufficient conditions for the existence of solutions for the fractional differential inclusions with ψ-Caputo derivatives are presented. Our result generalizes the known special case if ψx=x and single known results to the multi-valued ones.http://dx.doi.org/10.1155/2019/9824623 |
| spellingShingle | Dandan Yang Chuanzhi Bai Existence of Solutions for Anti-Periodic Fractional Differential Inclusions with ψ-Caupto Fractional Derivative Discrete Dynamics in Nature and Society |
| title | Existence of Solutions for Anti-Periodic Fractional Differential Inclusions with ψ-Caupto Fractional Derivative |
| title_full | Existence of Solutions for Anti-Periodic Fractional Differential Inclusions with ψ-Caupto Fractional Derivative |
| title_fullStr | Existence of Solutions for Anti-Periodic Fractional Differential Inclusions with ψ-Caupto Fractional Derivative |
| title_full_unstemmed | Existence of Solutions for Anti-Periodic Fractional Differential Inclusions with ψ-Caupto Fractional Derivative |
| title_short | Existence of Solutions for Anti-Periodic Fractional Differential Inclusions with ψ-Caupto Fractional Derivative |
| title_sort | existence of solutions for anti periodic fractional differential inclusions with ψ caupto fractional derivative |
| url | http://dx.doi.org/10.1155/2019/9824623 |
| work_keys_str_mv | AT dandanyang existenceofsolutionsforantiperiodicfractionaldifferentialinclusionswithpscauptofractionalderivative AT chuanzhibai existenceofsolutionsforantiperiodicfractionaldifferentialinclusionswithpscauptofractionalderivative |