A key model for predictive analysis, particularly in finance, is the Rössler system. This study
introduces an enhanced version of this model, incorporating minimum interest rates and …

In this paper, we study the solvability and generalized Ulam–Hyers (UH) stability of a
nonlinear Atangana–Baleanu–Caputo (ABC) fractional coupled system with a Laplacian …

Non-linear evolution equations play a prominent role in describing a wide range of
phenomena in optical fibers, fluid dynamics, electromagnetic radiation, plasma and solid …

In this article, we deals with the existence and uniqueness of positive solutions of general
non-linear fractional differential equations (FDEs) having fractional derivative of different …

This paper is devoted to discuss Hilfer fractional evolution equations through its
controllability and stability in a Banach space. We achieve our claims and conclusions by …

Variable order differential equations are the natural extension of the said area. In many
situations, such problems have the ability to describe real-world problems more concisely …

In this work, we reformulate and investigate the well-known pantograph differential equation
by applying newly-defined conformable operators in both Caputo and Riemann–Liouville …

This manuscript studies the hybrid fractional differential equations (FDEs) with the p-
Laplacian operator. The main aim of this research work is to establish the existence and …

In this manuscript, the main objective is to analyze the existence, uniqueness,(EU) and
stability of positive solution for a general class of non-linear fractional differential equation …

The fractional order SIR model with a Holling type II saturated incidence rate and treatment
rate are explored in this manuscript in the Caputo order fractional derivative approach. The …