Abstract The Modified Operational Matrix method (MOMM) has proved to be a reliable and
efficient algorithm for solving fractional delay equations. However, no convergence results …

This research work is related to studying a class of special type delay implicit fractional order
differential equations under anti-periodic boundary conditions. With the help of classical …

In this paper, an analytical method based on the B-spline method is used to study the
fractional Fokker Planck equation. In this study, the B-Spline series method is derived, and …

Some essential conditions for existence theory and stability analysis to a class of boundary
value problems of fractional delay differential equations involving Atangana–Baleanu …

In this research, fractional dynamics has been incorporated into a nonlinear model of three
coupled oscillators to capture cardiac behavior more closely. We observe that in the case of …

In this manuscripts, we consider the coupled differential-integral equations including the
variable-order Caputo fractional operator. To solve numerically these type of equations, we …

We present a novel master‐slave fractional synchronization in chaotic systems by using
fractional derivatives with nonlocal and nonsingular kernel. The master system is the …

In this paper, we study a class of second-order delay fractional differential equations with a
variable-order Caputo derivative. This type of equation is an extension to ordinary delay …

In this article, an accurate and robust numerical method is proposed to solve a class of
nonlinear variable order fractional differential equations (FDEs) in the Caputo‐Prabhakar …

It has been a difficult task to solve fractional oscillators analytically, especially when variable-
order fractional derivatives (FDs) are included. The major difficulty consists in deriving …