Results 11 to 20 of about 1,815 (296)

Controllability of Differential Systems with the General Conformable Derivative

open access: yesComplexity, 2021
In this paper, the controllability of differential systems with the general conformable derivative is studied. By elaborating the rank criterion and the conformable Gram criterion, sufficient and necessary conditions to investigate that a linear general ...
Ferrag Azouz   +4 more
doaj   +2 more sources

Comparative study of two techniques on some nonlinear problems based ussing conformable derivative

open access: yesNonlinear Engineering, 2020
In this paper, three eminent types of time-fractional nonlinear partial differential equations are considered, which are the fractional foam drainage equation, fractional Gardner equation, and fractional Fornberg–Whitham equation in the sense of ...
Zulfiqar Aniqa, Ahmad Jamshad
doaj   +2 more sources

Some new solutions of the Caudrey–Dodd–Gibbon (CDG) equation using the conformable derivative

open access: yesAdvances in Difference Equations, 2019
New exact solutions of the space–time conformable Caudrey–Dodd–Gibbon (CDG) equation have been derived by implementing the conformable derivative. The generalized Riccati equation mapping method is applied to figure out twenty-seven forms of exact ...
Sadaf Bibi   +5 more
doaj   +2 more sources

Note on the generalized conformable derivative [PDF]

open access: yesRevista de la Unión Matemática Argentina, 2021
Introducimos una definición de una derivada conformable generalizada de orden α > 0 (donde este parámetro no necesita ser entero), con la que superamos algunas deficiencias de derivadas locales conocidas, conformables o no. Esta definición nos permite calcular derivadas fraccionarias de funciones definidas en cualquier conjunto abierto en la línea real
Alberto Fleitas   +3 more
openaire   +4 more sources

Conserved vectors with conformable derivative for certain systems of partial differential equations with physical applications

open access: yesOpen Physics, 2020
In this paper, we examine conservation laws (Cls) with conformable derivative for certain nonlinear partial differential equations (PDEs). The new conservation theorem is used to the construction of nonlocal Cls for the governing systems of equation.
Qurashi Maysaa Mohamed Al
doaj   +2 more sources

Mathematical Modeling of Coronavirus Dynamics with Conformable Derivative in Liouville–Caputo Sense [PDF]

open access: yesJournal of Mathematics, 2022
Coronavirus has become a serious global phenomenon in recent times and has negative effects on the entire world economy. In this study, a fractional mathematical model formulated in fractional conformable derivative is studied.
Ebenezer Bonyah   +2 more
doaj   +2 more sources

A modification to the conformable fractional calculus with some applications

open access: yesAlexandria Engineering Journal, 2020
In the conformable fractional calculus, TαTβ≠TβTα and IαIβ≠IβIα, where Tα and Iα are conformable fractional differential and integral operators, respectively. Also, Tβ≠Tnα and Iβ≠Inα, where β=nα for some n∈N.
Ahmad El-Ajou
doaj   +2 more sources

A Study on Existence and Controllability of Conformable Impulsive Equations

open access: yesAxioms, 2023
We study the existence/uniqueness of conformable fractional type impulsive nonlinear systems as well as the controllability of linear/semilinear conformable fractional type impulsive controlled systems.
Nazim I. Mahmudov, Gülbahar Akgün
doaj   +2 more sources

Analysis of projectile motion in view of conformable derivative

open access: yesOpen Physics, 2018
This paper presents new solutions for twodimensional projectile motion in a free and resistive medium, obtained within the newly established conformable derivative.
Contreras Abraham Ortega   +3 more
doaj   +2 more sources

Oscillation results for a fractional order dynamic equation on time scales with conformable fractional derivative

open access: yesAdvances in Difference Equations, 2018
In this paper, we investigate oscillatory and asymptotic properties for a class of fractional order dynamic equations on time scales, where the fractional derivative is defined in the sense of the conformable fractional derivative.
Qinghua Feng, Fanwei Meng
doaj   +2 more sources

Home - About - Disclaimer - Privacy