The primary objective of this research is to investigate the controllability and Hyers–Ulam
stability of fractional dynamical systems represented by ψ-Caputo fractional derivative with …

In this paper, we study the existence of the solutions for a tripled system of Caputo
sequential fractional differential equations. The main results are established with the aid of …

This paper proposes a scientific machine learning approach based on Deep Physics
Informed Neural Network (PINN) to solve ψ-Caputo-type differential equations. The trial …

Two novel crossover models for breast cancer that incorporate Ψ-Caputo fractal variable-
order fractional derivatives, fractal fractional-order derivatives, and variable-order fractional …

In this paper, we study coupled nonlinear Langevin fractional problems with different orders
of μ-Caputo fractional derivatives on arbitrary domains with nonlocal integral boundary …

A novel crossover model for monkeypox disease that incorporates Ψ-Caputo fractional
derivatives is presented here, where we use a simple nonstandard kernel function Ψ (t). We …

The relaxation-oscillation differential equation serves as the fundamental model governing
the description of relaxation-oscillation processes with notable applications in fluid flow and …

This study introduces a rigorous mathematical analysis utilizing a fractional integro-
differential equation model to depict the intricate dynamics of plasma dilution and provide a …

In this article, we study a system of Hilfer (k, ψ)-fractional differential equations, subject to
nonlocal boundary conditions involving Hilfer (k, ψ)-derivatives and (k, ψ)-integrals. The …

We propose a novel dynamical model for blood alcohol concentration that incorporates ψ ψ‐
Caputo fractional derivatives. Using the generalized Laplace transform technique, we …