Variable-order (VO) fractional differential equations (FDEs) with a time (t), space (x) or other
variables dependent order have been successfully applied to investigate time and/or space …

General Fractional Derivatives: Theory, Methods and Applications provides knowledge of
the special functions with respect to another function, and the integro-differential operators …

In this paper, we present a coupling of homotopy perturbation technique and sumudu
transform known as homotopy perturbation sumudu transform method (HPSTM). We show …

This review article aims to stress and reunite some of the analytic formalism of the
anomalous diffusive processes that have succeeded in their description. Also, it has the …

We survey some representative results on fuzzy fractional differential equations,
controllability, approximate controllability, optimal control, and optimal feedback control for …

Hybrid nanoliquid as an expansion of nanoliquid is acquired by scattering combination of
nano-powder or numerous distinct nanomaterials in the regular liquid. Hybrid nanofluids are …

The purpose of this paper is to study the existence and uniqueness of the solution of
nonlinear fractional differential equations with Mittag–Leffler nonsingular kernel. Two …

In this paper, we extend the model of the Burgers (B) to the new model of time fractional
Burgers (TFB) based on Liouville-Caputo (LC), Caputo-Fabrizio (CF), and Mittag-Leffler (ML) …

This paper studies the design of variable-order fractional proportional–integral–derivative
(VFPID) controllers for linear dynamical systems. For this purpose, a technique to discretize …

In this paper, shifted Legendre polynomials will be used for constructing the numerical
solution for a class of multiterm variable‐order fractional differential equations. In the …