In the present paper, we implement a novel numerical method for solving differential
equations with fractional variable-order in the Caputo sense to research the dynamics of a …

In this work, a fractional predator-prey model with the harvesting rate is considered. Besides
the existence and uniqueness of the solution to the model, local stability and global stability …

In this paper, we investigate novel solutions of fractional‐order option pricing models and
their fundamental mathematical analyses. The main novelties of the paper are the analysis …

We investigate a couple of different financial/economic models based on market equilibrium
and option pricing with three different fractional derivatives in this paper. We obtain the …

In this paper, an investigation and analysis of a nonlinear fractional-order SIR epidemic
model with Crowley–Martin type functional response and Holling type-II treatment rate are …

Fractional order differential equations are utilized for modeling many complicated physical
and natural phenomena in nonlinear sciences and related fields. In this manuscript, the …

This paper presents a fundamental solution method for nonlinear fractional regularized long-
wave (RLW) models. Since analytical methods cannot be applied easily to solve such …

A three-dimensional system is introduced in this paper and its local stability is analyzed. Our
study establishes the validity and uniqueness of the linear feedback control for the proposed …

In this paper, the conformable-time-fractional Klein–Fock–Gordon equation is considered
and solved using the Kudryashov-expansion method to extract dual-wave solutions. Only …

This manuscript focuses on the application of the (m+ 1/G′)-expansion method to the (2+ 1)-
dimensional hyperbolic nonlinear Schrödinger equation. With the help of projected method …