Variable-order fractional delay-type equations with non-singular kernel derivatives

What is it about?

The main idea of this paper is to establish the novel fractional Gegenbauer functions for solving three kinds of fractional differential equations generated by the variable-order fractional derivatives in the Atangana-Baleanu-Caputo sense. The numerical scheme is discussed based on the modified operational matrices of Atangana-Baleanu variable-order fractional integration and the delay operational matrix

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Photo by Phillip Larking on Unsplash

Photo by Phillip Larking on Unsplash

Why is it important?

This paper presents a new numerical scheme for solving fractional differential equations that can improve it to solve the different kinds of problems.