Results 31 to 40 of about 137,560 (275)

Conformable Fractional Order Sliding Mode Control for a Class of Fractional Order Chaotic Systems [PDF]

open access: yesInternational Journal of Industrial Electronics, Control and Optimization, 2019
In this paper, a novel conformable fractional order (FO) sliding mode control technique is studied for a class of FO chaotic systems in the presence of uncertainties and disturbances.
Sara Haghighatnia   +2 more
doaj   +1 more source

A conformable calculus of radial basis functions and its applications [PDF]

open access: yes, 2018
In this paper we introduced the conformable derivatives and integrals of radial basis functions (RBF) to solve conformable fractional differential equations via RBF collocation method. For that, firstly, we found the conformable derivatives and integrals
Fuat Usta, Usta, Fuat
core   +1 more source

Explicit bounds on certain integral inequalities via conformable fractional calculus [PDF]

open access: yes, 2017
: In this paper, we present some explicit upper bounds for integral inequalities with the help of Katugampola-type conformable fractional calculus. The results have been obtained to cover the previous published studies for Gronwall-Bellman and Bihari ...
& Usta, Sarıkaya
core   +3 more sources

New Results Concerning Approximate Controllability of Conformable Fractional Noninstantaneous Impulsive Stochastic Evolution Equations via Poisson Jumps

open access: yesMathematics, 2023
We introduce the conformable fractional (CF) noninstantaneous impulsive stochastic evolution equations with fractional Brownian motion (fBm) and Poisson jumps. The approximate controllability for the considered problem was investigated.
Yazid Alhojilan, Hamdy M. Ahmed
doaj   +1 more source

Forced oscillation of fractional differential equations via conformable derivatives with damping term

open access: yesBoundary Value Problems, 2019
Based on the properties of nonlocal fractional calculus generated by conformable derivatives, we establish some sufficient conditions for oscillation of all solutions for fractional differential equations with damping term.
Aphirak Aphithana   +2 more
doaj   +1 more source

The analytical solution of Van der Pol and Lienard differential equations within conformable fractional operator by retarded integral inequalities

open access: yesDemonstratio Mathematica, 2019
In this study we introduced and tested retarded conformable fractional integral inequalities utilizing non-integer order derivatives and integrals. In line with this purpose, we used the Katugampola type conformable fractional calculus which has several ...
Usta Fuat, Sarıkaya Mehmet Zeki
doaj   +1 more source

Conformally Invariant Powers of the Laplacian, Q -Curvature, and Tractor Calculus [PDF]

open access: yesCommunications in Mathematical Physics, 2003
We describe an elementary algorithm for expressing, as explicit formulae in tractor calculus, the conformally invariant GJMS operators due to C.R. Graham et alia. These differential operators have leading part a power of the Laplacian. Conformal tractor calculus is the natural induced bundle calculus associated to the conformal Cartan connection ...
Gover, A. Rod, Peterson, Lawrence J.
openaire   +3 more sources

Conformal Geodesics in Cartan Calculus

open access: yes, 2021
Die vorliegende Arbeit behandelt konforme Geodäten und ihre Beschreibung durch Cartangeometrie. Wir besprechen die Definition der Cartangeometrie und erklären, in welchem Sinne konforme Strukturen in 1:1-Beziehung mit Cartangeometrien vom Typ (G, P) sind, wobei G = O(p+1, q+1) and P = Stab(R^+·l−) in O(p+1, q+1).
openaire   +2 more sources

A calculus for conformal hypersurfaces and new higher Willmore energy functionals [PDF]

open access: yesAdvances in Geometry, 2020
Abstract The invariant theory for conformal hypersurfaces is studied by treating these as the conformal infinity of a conformally compact manifold. Recently it has been shown how, given a conformal hypersurface embedding, a distinguished ambient metric is found (within its conformal class) by solving a singular version of the Yamabe ...
Gover, A. Rod, Waldron, Andrew
openaire   +4 more sources

Analysis of Positive Linear Continuous–Time Systems Using the Conformable Derivative

open access: yesInternational Journal of Applied Mathematics and Computer Science, 2018
Positive linear continuous-time systems are analyzed via conformable fractional calculus. A solution to a fractional linear system is derived. Necessary and sufficient conditions for the positivity of linear systems are established.
Kaczorek Tadeusz
doaj   +1 more source

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