[PDF][PDF] A Multi-Index generalized derivative; some introductory notes

M Vivas-Cortez, LM Lugo, JEN Valdés… - Appl. Math. Inf …, 2022 - naturalspublishing.com
In this work we present a generalized multi-index derivative, which contains as particular
cases, with an index, several local derivatives known from the literature (both conformable …

On some conformable boundary value problems in the setting of a new generalized conformable fractional derivative

M Vivas-Cortez, MP Árciga, JC Najera… - Demonstratio …, 2023 - degruyter.com
The fundamental objective of this article is to investigate about the boundary value problem
with the uses of a generalized conformable fractional derivative introduced by Zarikaya et …

[PDF][PDF] Investigation of the Solution of a Smoking Model with Conformable Derivative

S Hasan, M Al Zurayqat, M Dradka, S Momani - Appl. Math, 2024 - naturalspublishing.com
This paper is designed to generalize one of the important biomathematical models that
studies and analyses smoking spread in a given population within the framework of …

Exponential stability of non-conformable fractional-order systems

N Echi, F Mabrouk, F Omri - Journal of Applied Analysis, 2024 - degruyter.com
Recently, the authors Guzman et al.(2018) introduced a new simple well-behaved definition
of the fractional derivative called non-conformable fractional derivative. In this paper we …

On an integral transformation for Generalized Differential Equations.

JE Nápoles Valdes - Palestine Journal of Mathematics, 2024 - search.ebscohost.com
On an integral transformation for Generalized Differential Equations Page 1 Palestine Journal
of Mathematics Vol 13(4)(2024) , 150–163 © Palestine Polytechnic University-PPU 2024 On an …

[PDF][PDF] Conformable fractional derivatives and applications to Newtonian dynamic and cooling body law

PAP Cedeño, MV Cortez… - Selecciones Matemáticas, 2022 - dialnet.unirioja.es
En el presente artıculo se presenta una revisión rigurosa de la derivada fraccionaria
conformable dada por JE Nápoles en [11], estudiando las propiedades clásicas, como …

A New Convergence Analysis Method for Conformable Fractional Order System with Time Delay

Y Han, H Liang, Y Wang, F Zhou - 2024 IEEE 14th International …, 2024 - ieeexplore.ieee.org
Time delay exists in engineering systems and seriously affects the performance of the
systems. In order to solve the effect of time delay in iterative learning control, a conformable …

[PDF][PDF] On the generalized laplace transform and applications

JEN Valdés - Phys Astron Int J, 2022 - researchgate.net
In this work we present the main properties of the Generalized Laplace Transform, recently
defined, and we show some applications. Laplace's transformation has been very useful in …

Khalil Conformable fractional derivative and its applications to population growth and body coolingin models

JDV Lascano, MJ Vivas-Cortez - Selecciones Matemáticas, 2022 - revistas.unitru.edu.pe
The objective of this article is to develop some results on conformable fractional derivatives,
specifically the one known as Khalil's conformable fractional derivative. Its origin, properties …

On the Construction of The Laplace Transform via Gamma Function

U Kaya, Ş Ermiş - Bitlis Eren Üniversitesi Fen Bilimleri Dergisi, 2024 - dergipark.org.tr
The Laplace transform can be applied to integrable and exponential-type functions on the
half-line [0,├∞)┤ by the formula L {f}=∫ _0^∞▒[f (x) e^(-sx) dx]. This transform reduces …