[PDF][PDF] On the boundedness of the solution set for the ψ-Caputo fractional pantograph equation with a measure of non-compactness via simulation analysis
R George, F Al-shammari, M Ghaderi, S Rezapour - AIMS Math, 2023 - aimspress.com
A large number of physical phenomena can be described and modeled by differential
equations. One of these famous models is related to the pantograph, which has been …
equations. One of these famous models is related to the pantograph, which has been …
Coupled system of three sequential Caputo fractional differential equations: Existence and stability analysis
Recently, many studies on fractional coupled systems involving different sequential
fractional derivatives have appeared during the past several years. The paper is dealing …
fractional derivatives have appeared during the past several years. The paper is dealing …
[HTML][HTML] Solvability and Ulam–Hyers–Rassias stability for generalized sequential quantum fractional pantograph equations
In the present manuscript, we discuss the existence, uniqueness an Ulam-stability of
solutions for sequential fractional pantograph equations involving n Caputo and one …
solutions for sequential fractional pantograph equations involving n Caputo and one …
A reliable neural network procedure for the novel sixth-order nonlinear singular pantograph differential model
An innovative singular nonlinear sixth-order (SNSO) pantograph differential model (PDM),
known as the SNSO-PDM, is the subject of this novel study along with its numerical …
known as the SNSO-PDM, is the subject of this novel study along with its numerical …
[PDF][PDF] A study on the existence of numerical and analytical solutions for fractional integrodifferential equations in Hilfer type with simulation.
Previous studies have shown that fractional derivative operators have become an integral
part of modeling natural and physical phenomena. During the progress and evolution of …
part of modeling natural and physical phenomena. During the progress and evolution of …
[HTML][HTML] Fractal Fractional Derivative Models for Simulating Chemical Degradation in a Bioreactor
A Akgül, JA Conejero - Axioms, 2024 - mdpi.com
A three-differential-equation mathematical model is presented for the degradation of phenol
and p-cresol combination in a bioreactor that is continually agitated. The stability analysis of …
and p-cresol combination in a bioreactor that is continually agitated. The stability analysis of …
[PDF][PDF] A computational method for investigating a quantum integrodifferential inclusion with simulations and heatmaps
We aim to investigate an integro-differential inclusion using a novel computational approach
in this research. The use of quantum calculus, and consequently the creation of discrete …
in this research. The use of quantum calculus, and consequently the creation of discrete …
On an m-dimensional system of quantum inclusions by a new computational approach and heatmap
M Ghaderi, S Rezapour - Journal of Inequalities and Applications, 2024 - Springer
Recent research indicates the need for improved models of physical phenomena with
multiple shocks. One of the newest methods is to use differential inclusions instead of …
multiple shocks. One of the newest methods is to use differential inclusions instead of …
On the singular-hybrid type of the Langevin fractional differential equation with a numerical approach
The nonlinear fractional Langevin equation is an important equation used in various areas
of physics and mathematics. In this article, we focus on the singular-hybrid case of the …
of physics and mathematics. In this article, we focus on the singular-hybrid case of the …
[PDF][PDF] On a coupled system of generalized hybrid pantograph equations involving fractional deformable derivatives
The goal of this work is to study the existence of a unique solution and the Ulam-Hyers
stability of a coupled system of generalized hybrid pantograph equations with fractional …
stability of a coupled system of generalized hybrid pantograph equations with fractional …