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 Tt0={t0,t0q,t0q2,…}∪{0}. To better evaluate the validity of our results, we provided an example, some graphs, and tables.

Details

Title
Some analytical and numerical results for a fractional q-differential inclusion problem with double integral boundary conditions
Author
Shabibi Mehdi 1 ; Samei, Mohammad Esmael 2 ; Ghaderi Mehran 3 ; Rezapour Shahram 4   VIAFID ORCID Logo 

1  Islamic Azad University, Department of Mathematics, Mehran, Iran (GRID:grid.411465.3) (ISNI:0000 0004 0367 0851) 
2  Bu-Ali Sina University, Department of Mathematics, Hamedan, Iran (GRID:grid.411807.b) (ISNI:0000 0000 9828 9578) 
3  Azarbaijan Shahid Madani University, Department of Mathematics, Tabriz, Iran (GRID:grid.411468.e) (ISNI:0000 0004 0417 5692) 
4  Azarbaijan Shahid Madani University, Department of Mathematics, Tabriz, Iran (GRID:grid.411468.e) (ISNI:0000 0004 0417 5692); China Medical University, Department of Medical Research, China Medical University Hospital, Taichung, Taiwan (GRID:grid.254145.3) (ISNI:0000 0001 0083 6092) 
Publication year
2021
Publication date
Dec 2021
Publisher
Springer Nature B.V.
ISSN
1687-1839
e-ISSN
1687-1847
Source type
Scholarly Journal
Language of publication
English
DOI
https://doi.org/10.1186/s13662-021-03623-2
ProQuest document ID
2583223088
Copyright
© The Author(s) 2021. This work is published under http://creativecommons.org/licenses/by/4.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.