Abstract
In this paper, the sinc collocation method is used to obtain the solution of the second-order fractional boundary value problems based on the conformable fractional derivative. For this purpose a theorem is proved to represent the terms having fractional derivatives in terms of sinc basis functions. To show the efficiency and accuracy of the present method, some problems are solved and the obtained solutions are compared with the approximate solutions obtained by using the other numerical methods as well as the exact solutions of the problems.
Keywords
Sinc function
Fractional calculus
Mathematics
Boundary value problem
Conformable matrix
Applied mathematics
Collocation (remote sensing)
Order (exchange)
Collocation method
Mathematical analysis
Derivative (finance)
Computer science
Differential equation
Physics
Subject Areas
Fractional Differential Equations Solutions
·Modeling and Simulation ·Physical Sciences
Iterative Methods for Nonlinear Equations
·Numerical Analysis ·Physical Sciences
Nonlinear Differential Equations Analysis
·Applied Mathematics ·Physical Sciences
Citations by Year
2024: 2
2025: 2
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