Hermite wavelets approach for the multi-term fractional differential equations

Abstract

In this article, we propose a novel technique called the Hermite wavelets collocation method (HWCM) and fractional derivatives of functions to solve multi-term fractional differential equations (MTFDEs) and convergence analysis is discussed in terms of theorems. This technique converts the multi-term fractional differential equations into the system of algebraic equations through collocation points, and obtained results are compared with other existing methods to check the efficiency of the present method.

Subject Classification: (2010):

• 34A08
• 65L60
• 26A33
• 42C40

Keywords:

• Hermite wavelets
• Collocation method
• Multi-term fractional differential equations
• Operational matrix