Some analytical and numerical results for a fractional q-differential inclusion problem with double integral boundary conditions
Abstract In this work, we study a q-differential inclusion with doubled integral boundary conditions under the Caputo derivative. To achieve the desired result, we use the endpoint property introduced by Amini-Harandi and quantum calculus. Integral boundary conditions were considered on time scale T...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-10-01
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| Series: | Advances in Difference Equations |
| Subjects: | |
| Online Access: | https://doi.org/10.1186/s13662-021-03623-2 |
| _version_ | 1818920337444700160 |
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| author | Mehdi Shabibi Mohammad Esmael Samei Mehran Ghaderi Shahram Rezapour |
| author_facet | Mehdi Shabibi Mohammad Esmael Samei Mehran Ghaderi Shahram Rezapour |
| author_sort | Mehdi Shabibi |
| collection | DOAJ |
| description | Abstract In this work, we study a q-differential inclusion with doubled integral boundary conditions under the Caputo derivative. To achieve the desired result, we use the endpoint property introduced by Amini-Harandi and quantum calculus. Integral boundary conditions were considered on time scale T t 0 = { t 0 , t 0 q , t 0 q 2 , … } ∪ { 0 } $\mathcal{T}_{t_{0}}=\{t_{0},t_{0}q,t_{0}q^{2}, \ldots\}\cup \{0\}$ . To better evaluate the validity of our results, we provided an example, some graphs, and tables. |
| first_indexed | 2024-12-20T01:20:09Z |
| format | Article |
| id | doaj.art-c700fc7b1fff4f2f99d2cc19f01ebf83 |
| institution | Directory Open Access Journal |
| issn | 1687-1847 |
| language | English |
| last_indexed | 2024-12-20T01:20:09Z |
| publishDate | 2021-10-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Advances in Difference Equations |
| spelling | doaj.art-c700fc7b1fff4f2f99d2cc19f01ebf832022-12-21T19:58:27ZengSpringerOpenAdvances in Difference Equations1687-18472021-10-012021111710.1186/s13662-021-03623-2Some analytical and numerical results for a fractional q-differential inclusion problem with double integral boundary conditionsMehdi Shabibi0Mohammad Esmael Samei1Mehran Ghaderi2Shahram Rezapour3Department of Mathematics, Islamic Azad UniversityDepartment of Mathematics, Bu-Ali Sina UniversityDepartment of Mathematics, Azarbaijan Shahid Madani UniversityDepartment of Mathematics, Azarbaijan Shahid Madani UniversityAbstract In this work, we study a q-differential inclusion with doubled integral boundary conditions under the Caputo derivative. To achieve the desired result, we use the endpoint property introduced by Amini-Harandi and quantum calculus. Integral boundary conditions were considered on time scale T t 0 = { t 0 , t 0 q , t 0 q 2 , … } ∪ { 0 } $\mathcal{T}_{t_{0}}=\{t_{0},t_{0}q,t_{0}q^{2}, \ldots\}\cup \{0\}$ . To better evaluate the validity of our results, we provided an example, some graphs, and tables.https://doi.org/10.1186/s13662-021-03623-2q-differential inclusion problemFixed pointNumerical resultsThe Caputo derivative |
| spellingShingle | Mehdi Shabibi Mohammad Esmael Samei Mehran Ghaderi Shahram Rezapour Some analytical and numerical results for a fractional q-differential inclusion problem with double integral boundary conditions Advances in Difference Equations q-differential inclusion problem Fixed point Numerical results The Caputo derivative |
| title | Some analytical and numerical results for a fractional q-differential inclusion problem with double integral boundary conditions |
| title_full | Some analytical and numerical results for a fractional q-differential inclusion problem with double integral boundary conditions |
| title_fullStr | Some analytical and numerical results for a fractional q-differential inclusion problem with double integral boundary conditions |
| title_full_unstemmed | Some analytical and numerical results for a fractional q-differential inclusion problem with double integral boundary conditions |
| title_short | Some analytical and numerical results for a fractional q-differential inclusion problem with double integral boundary conditions |
| title_sort | some analytical and numerical results for a fractional q differential inclusion problem with double integral boundary conditions |
| topic | q-differential inclusion problem Fixed point Numerical results The Caputo derivative |
| url | https://doi.org/10.1186/s13662-021-03623-2 |
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