2023
DOI: 10.3390/math11224604
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Employing a Fractional Basis Set to Solve Nonlinear Multidimensional Fractional Differential Equations

Md. Habibur Rahman,
Muhammad I. Bhatti,
Nicholas Dimakis

Abstract: Fractional-order partial differential equations have gained significant attention due to their wide range of applications in various fields. This paper employed a novel technique for solving nonlinear multidimensional fractional differential equations by means of a modified version of the Bernstein polynomials called the Bhatti-fractional polynomials basis set. The method involved approximating the desired solution and treated the resulting equation as a matrix equation. All fractional derivatives are consider… Show more

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