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

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

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....

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Veröffentlicht in:Advances in difference equations 2021-01, Vol.2021 (1), p.1-18, Article 68
Hauptverfasser: Matar, M. M., Abbas, M. I., Alzabut, J., Kaabar, M. K. A., Etemad, S., Rezapour, S.
Format: Artikel
Sprache:eng
Schlagworte:
Analysis
Banach and Schauder fixed point results
Boundary value problems
Derivatives
Difference and Functional Equations
Fixed points (mathematics)
Fractional-order differential system
Functional Analysis
Mathematics
Mathematics and Statistics
Mathematics, Applied
Ordinary Differential Equations
p-Laplacian
Partial Differential Equations
Physical Sciences
Science & Technology
Scientific papers
The generalized Caputo fractional derivative
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Zusammenfassung: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.
ISSN:1687-1847
1687-1839
1687-1847
DOI:10.1186/s13662-021-03228-9