Extended fractional derivative: Some results involving classical properties and applications
Year: 2024
Type: article
Abstract: In this paper, considering the classical definition of derivative in the limit form, we can define a new fractional derivative called the extended fractional derivative, which depends upon two parameters α and a. For this new fractional derivative, we have proved the properties of classical derivatives such as the product rule, the quotient rule, the chain rule, Rolle’s and Lagrange’s mean value theorems, etc., which are nor satisfied by the existing fractional derivatives defined by Riemann Liouville, Caputo, Grunwald. Moreover, we have defined the extended fractional integral and proved some related results. Solve extended fractional differential equation.
Source: THE SCIENTIFIC TEMPER
Authors: Rajratana Maroti Kamble, Pramod Ramakant Kulkarni
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: diamond
OpenAlex ID: W4406103915