Results 21 to 30 of about 137,560 (275)

Some Fundamental Results on Fuzzy Conformable Differential Calculus [PDF]

open access: yes, 2021
In this paper, we combine fuzzy calculus, and conformable calculus to introduce the fuzzy conformable calculus. We define the fuzzy conformable derivative of order $2\Psi $ and generalize it to derivatives of order $p\Psi $.
Abdeljawad, Thabet   +4 more
core   +1 more source

Fractional variational problems on conformable calculus

open access: yesCommunications Faculty Of Science University of Ankara Series A1Mathematics and Statistics, 2021
The authors discuss the optimality conditions of the variational problems including conformable fractional derivatives. They obtain the optimality conditions for Öxed end-point variational problems, and for variable end-point variational problems. Then they investigate the isoperimetric problem, and variational problems with holonomic constraints ...
ÖĞREKÇİ, Süleyman   +1 more
openaire   +5 more sources

Inhomogeneous conformable abstract Cauchy problem

open access: yesOpen Mathematics, 2021
In this paper, we discuss the solution of the inhomogeneous conformable abstract Cauchy problem. The homogeneous problem is also studied. The analysis of conformable fractional calculus and fractional semigroups is also given.
Rabhi Lahcene   +2 more
doaj   +1 more source

Oscillation of Nonlinear Fractional Dynamic Equations with Forcing Term

open access: yesJournal of Mathematics, 2021
In this paper, interval oscillation criteria for the nonlinear damped dynamic equations with forcing terms on time scales within conformable fractional derivatives are established. Our approach is determined from the implementation of generalized Riccati
S. Manikandan   +3 more
doaj   +1 more source

Preliminary Observations on the Novel Approaches in Fuzzy Conformable Differential Calculus [PDF]

open access: yes, 2022
This paper presents a novel extension of fuzzy calculus by integrating it with conformable calculus to introduce the fuzzy conformable derivative, a mathematical tool designed to handle the complexities of systems characterized by both uncertainty and ...
Ahmed, Ahlaam Salih
core   +1 more source

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

open access: yesDemonstratio Mathematica, 2023
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 al. (On generalized the conformable calculus, TWMS J. App. Eng.
Vivas-Cortez Miguel   +3 more
doaj   +1 more source

Towards a Non-conformable Fractional Calculus of n-Variables [PDF]

open access: yesJournal of Mathematics and Applications, 2020
Using a rather complicated approach, the authors define a differential operator that they claim to be of fractional order but that, in fact, can easily be seen to be just a multiple of the classical first derivative. Specifically, in the one-dimensional case, their operator is nothing but \(N^\alpha_x f(a) = \exp(a^{-\alpha}) f'(a)\), and the extension
Martínez, Francisco   +1 more
openaire   +2 more sources

Boundary calculus for conformally compact manifolds [PDF]

open access: yesIndiana University Mathematics Journal, 2014
35 pages. Added reference to a new article applying ideas.
Gover, Rod, Waldron, Andrew
openaire   +3 more sources

Modeling, discretization, and hyperchaos detection of conformable derivative approach to a financial system with market confidence and ethics risk

open access: yesAdvances in Difference Equations, 2019
We propose a new chaotic financial system by considering ethics involvement in a four-dimensional financial system with market confidence. We present a five-dimensional conformable derivative financial system by introducing conformable fractional ...
Baogui Xin   +3 more
doaj   +1 more source

Fractional calculus in data fitting

open access: yesAlexandria Engineering Journal, 2020
This paper investigates the role of fractional calculus in data fitting. We show that while the Caputo and Atangana-Baleanu fractional derivatives can be applied successfully in data fitting, this might not be true for the conformable derivative.
N.H. Can, H. Jafari, M.N. Ncube
doaj   +1 more source

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