The aim of this paper is to introduce and analyze a novel fractional chaotic system including
quadratic and cubic nonlinearities. We take into account the Caputo derivative for the …

This paper is devoted to studying the ϱ-Hilfer fractional snap dynamic system under the ϱ-
Riemann–Liouville fractional integral conditions on unbounded domains [a,∞), a≥ 0, for the …

The current paper is about the investigation of a new integral transform introduced recently
by Jafari. Specifically, we explore the applicability of this integral transform on Atangana …

In this work, we study aq-differential inclusion with doubled integral boundary conditions
under the Caputo derivative. To achieve the desired result, we use the endpoint property …

This work investigates the existence and uniqueness of solutions for a coupled system of
fractional differential equations with three‐point generalized fractional integral boundary …

This manuscript mainly focuses on the nonlocal controllability analysis for the impulsive
fractional functional integro-differential equation (IFrFIDE) in n-dimensional Euclidean …

We consider a fractional differential equation of order α, α∈(2, 3], involving a ψ-Caputo
fractional derivative subject to initial conditions on function and its first derivative and an …

In this article, we derive some novel results of the existence, uniqueness, and stability of the
solution of generalized Caputo-type fractional boundary value problems (FBVPs). The …

In this article, we investigate sufficient conditions for the existence and stability of solutions to
a coupled system of ψ-Caputo hybrid fractional derivatives of order 1< υ≤ 2 subjected to …

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 …