Investigation of the p -Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives

Advances in Difference Equations

article

Matar, M. M.¹  Abbas, M. I.²  Alzabut, J.³  Kaabar, M. K. A.⁴  Etemad, S.⁵  Rezapour, S.⁶ 

[1] Department of Mathematics, Al-Azhar University-Gaza;Department of Mathematics and Computer Science, Faculty of Science, Alexandria University;Department of Mathematics and General Sciences, Prince Sultan University;Department of Mathematics and Statistics, Washington State University;Department of Mathematics, Azarbaijan Shahid Madani University;Institute of Research and Development, Duy Tan University;Faculty of Natural Sciences, Duy Tan University;Department of Medical Research, China Medical University Hospital, China Medical University

关键词: p -Laplacian;    Fractional-order differential system;    Banach and Schauder fixed point results;    The generalized Caputo fractional derivative;   

DOI  :  10.1186/s13662-021-03228-9

学科分类：航空航天科学

来源: SpringerOpen

【 摘 要 】

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.

【 授权许可】

CC BY