Abstract

A newly proposed p-Laplacian nonperiodic boundary value problem is studied in this research paper in the form of generalized Caputo fractional derivatives. The existence and uniqueness of solutions are fully investigated for this problem using some fixed point theorems such as Banach and Schauder. This work is supported with an example to apply all obtained new results and validate their applicability.

Details

Title
Investigation of the p-Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives
Author
Matar, M M 1 ; Abbas, M I 2 ; Alzabut, J 3 ; Kaabar M K A 4 ; Etemad, S 5 ; Rezapour, S 6   VIAFID ORCID Logo 

1  Al-Azhar University-Gaza, Department of Mathematics, Gaza, Palestine (GRID:grid.133800.9) (ISNI:0000 0001 0436 6817) 
2  Alexandria University, Department of Mathematics and Computer Science, Faculty of Science, Alexandria, Egypt (GRID:grid.7155.6) (ISNI:0000 0001 2260 6941) 
3  Prince Sultan University, Department of Mathematics and General Sciences, Riyadh, Saudi Arabia (GRID:grid.443351.4) (ISNI:0000 0004 0367 6372) 
4  Washington State University, Department of Mathematics and Statistics, Pullman, USA (GRID:grid.30064.31) (ISNI:0000 0001 2157 6568) 
5  Azarbaijan Shahid Madani University, Department of Mathematics, Tabriz, Iran (GRID:grid.411468.e) (ISNI:0000 0004 0417 5692) 
6  Duy Tan University, Institute of Research and Development, Da Nang, Vietnam (GRID:grid.444918.4) (ISNI:0000 0004 1794 7022); Duy Tan University, Faculty of Natural Sciences, Da Nang, Vietnam (GRID:grid.444918.4) (ISNI:0000 0004 1794 7022); 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
Jan 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/s13662-021-03228-9
ProQuest document ID
2479910984
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.