Numerical Inverse Laplace Transform for Solving a Class of Fractional Differential Equations

• Published in: Symmetry (Basel) Vol. 11; no. 4; p. 530
• Main Authors: Rani, Dimple, Mishra, Vinod, Cattani, Carlo
• Format: Journal Article
• Language: English
• Published: Basel MDPI AG 01.04.2019
• Subjects: Algebra; Approximation; Control theory; Differential equations; fractional differential equations; Integral equations; Laplace transforms; Mathematical analysis; Methods; numerical inverse Laplace transform; operational matrices; orthonormalized Bernstein polynomials; Partial differential equations

This paper discusses the applications of numerical inversion of the Laplace transform method based on the Bernstein operational matrix to find the solution to a class of fractional differential equations. By the use of Laplace transform, fractional differential equations are firstly converted to sys...