Investigation of the p-Laplacian nonperiodic nonlinear boundary value problem via generalized Caputo fractional derivatives
| Autor: | Mohamed I. Abbas, Sina Etemad, Jehad Alzabut, Mohammed K. A. Kaabar, Mohammed M. Matar, Shahram Rezapour |
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| Rok vydání: | 2021 |
| Předmět: |
Work (thermodynamics)
Algebra and Number Theory Partial differential equation Fractional-order differential system lcsh:Mathematics Applied Mathematics p-Laplacian 010102 general mathematics Fixed-point theorem The generalized Caputo fractional derivative lcsh:QA1-939 Banach and Schauder fixed point results 01 natural sciences Fractional calculus 010101 applied mathematics Ordinary differential equation Applied mathematics Boundary value problem Uniqueness 0101 mathematics Analysis Mathematics |
| Zdroj: | Advances in Difference Equations, Vol 2021, Iss 1, Pp 1-18 (2021) |
| ISSN: | 1687-1847 |
| DOI: | 10.1186/s13662-021-03228-9 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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