A Numerical Approach for Dealing with Fractional Boundary Value Problems

This paper proposes a novel numerical approach for handling fractional boundary value problems. Such an approach is established on the basis of two numerical formulas; the fractional central formula for approximating the Caputo differentiator of order α and the fractional central formula for approxi...

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Bibliographic Details
Published in:Mathematics (Basel) 2023-10, Vol.11 (19), p.4082
Main Authors: Al-Nana, Abeer A., Batiha, Iqbal M., Momani, Shaher
Format: Article
Language:English
Subjects:
Algorithms
Analysis
Approximation
Boundary conditions
Boundary value problems
Caputo differentiator
Formulas (mathematics)
fractional boundary value problem
fractional central formulas
Methods
Numerical analysis
Partial differential equations
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Summary:This paper proposes a novel numerical approach for handling fractional boundary value problems. Such an approach is established on the basis of two numerical formulas; the fractional central formula for approximating the Caputo differentiator of order α and the fractional central formula for approximating the Caputo differentiator of order 2α, where 0
ISSN:2227-7390
2227-7390
DOI:10.3390/math11194082