How to characterize the memory property of systems is a challenging issue in the modeling
and analysis of complex systems. This study makes a comparative investigation of integer …

The fractional coupled Konno-Onno model, which is frequently used in numerous fields of
scientific and engineering disciplines, is being investigated in the current study in order to …

In this paper, a new Laplace residual power series (LRPS) algorithm has been constructed
to yield approximate series solutions (ASSs) of the nonlinear fractional differential system …

In this paper, the homotopy analysis method (HAM) is applied to solve generalized
biological population models. The fractional derivatives are described by Caputo's sense …

This study introduces some remarks on generalized fractional integral and differential
operators, which generalize some familiar fractional integral and derivative operators, with …

The Gr\" unwald and shifted Gr\" unwald formulas for the function $ y (x)-y (b) $ are first order
approximations for the Caputo fractional derivative of the function $ y (x) $ with lower limit at …

Unique existence of solution to initial value problem for fractional differential equation
involving with fractional derivative of variable order - ScienceDirect Skip to main contentSkip …

We develop a new application of the Mittag‐Leffler Function method that will extend the
application of the method to linear differential equations with fractional order. A new solution …

We consider the nonlinear fractional Langevin equation involving two fractional orders with
initial conditions. Using some basic properties of Prabhakar integral operator, we find an …

In this paper, optimal control of a general nonlinear multi‐strain tuberculosis (TB) model that
incorporates three strains drug‐sensitive, emerging multi‐drug resistant and extensively …