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Existence of solutions by fixed point theorem of general delay fractional differential equation with p-Laplacian operator
- Source :
- AIMS Mathematics, Vol 8, Iss 5, Pp 10160-10176 (2023)
- Publication Year :
- 2023
- Publisher :
- AIMS Press, 2023.
-
Abstract
- In this manuscript, the main objective is to analyze the existence, uniqueness, (EU) and stability of positive solution for a general class of non-linear fractional differential equation (FDE) with fractional differential and fractional integral boundary conditions utilizing $ \phi_p $-Laplacian operator. To continue, we will apply Green's function to determine the suggested FDE's equivalent integral form. The Guo-Krasnosel'skii fixed point theorem and the properties of the $ p $-Laplacian operator are utilized to derive the existence results. Hyers-Ulam (HU) stability is additionally evaluated. Further, an application is presented to validate the effectiveness of the result.
Details
- Language :
- English
- ISSN :
- 24736988
- Volume :
- 8
- Issue :
- 5
- Database :
- Directory of Open Access Journals
- Journal :
- AIMS Mathematics
- Publication Type :
- Academic Journal
- Accession number :
- edsdoj.2763fb9f73459db116e808c9069dc0
- Document Type :
- article
- Full Text :
- https://doi.org/10.3934/math.2023514?viewType=HTML