Article detail · 2022
Unsteady flow of fractional Burgers' fluid in a rotating annulus region with power law kernel
- Year
- 2022
- Type
- article
Data source split
- YÖKSİS YÖKSİS article record
- YÖKSİS venue ALEXANDRIA ENGINEERING JOURNAL
- Catalog match (ISSN) Alexandria Engineering Journal
- OpenAlex OpenAlex enrichment (abstract, citations, topics)
Abstract
OpenAlex · English
Based on reproducing kernel theory, an analytical approach is considered to construct numerical solutions for some basic fractional ordinary differential equations (FODEs, for short) under fractal fractional derivative with the exponential decay kernel. For the first time, the implemented approach, namely reproducing kernel Hilbert space method (RKHSM), is proposed in terms of analytic and numerical fractal fractional solutions. Through the convergence analysis, we illustrate the high competency of the RKHSM. Our results are compared with the exact solutions, and they show us how the fractal-fractional derivative when the kernel is exponential decay affects the obtained outcomes. And, they also confirm the superior performance of the RKHSM.
Topics
Citations
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16 citations
OpenAlex cited_by_count (cache / database)
3 publications in the local catalog that cite this work (OpenAlex reference match; not the full global list).
- Implementation of optical soliton behavior of the space–time conformable fractional Vakhnenko–Parkes equation and its modified model 2024
- The K Extended Laguerre Polynomials Involving {A(r),n,k ((alpha)) (x)}(r)F-r, r > 2 2022
- The existence of a unique solution and stability results with numerical solutions for the fractional hybrid integro-differential equations with Dirichlet boundary conditions 2024