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On conformable fractional calculus

Web06. jun 2024. · Moreover, the conformable partial derivative of the order α∈ of the real value of several variables and conformable gradient vector are defined 11, 12; and a conformable version of Clairaut's theorem for partial derivatives of conformable fractional orders is proved. 11, 12 In short time, many studies 13-21 about theory and application of ... Web12. maj 2015. · A Mean Value Theorem for the Conformable Fractional Calculus on Arbitrary Time Scales. E. Nwaeze. Mathematics. 2016. In this paper, we continue with …

On conformable fractional calculus - ScienceDirect

Web26. dec 2024. · Inspired: Fractional difference method with scale dependent mesh, non-uniform mesh and uniform mesh Community Treasure Hunt Find the treasures in MATLAB Central and discover how the community can help you! WebFractional Derivatives, Fractional Integrals, and Fractional Differential Equations in Matlab Ivo Petrá Technical University of Ko ice Slovak Republic 1.Introduction The term fractional calculus is more than 300 years old. It is a generalization of the ordinar y differentiation and integration to non-integer (arbitrary) order. city cruise terminal https://thebrummiephotographer.com

Analysis of projectile motion in view of conformable derivative

Web06. apr 2024. · This new concept is very interesting. Later, this theory is developed by Abdeljawad in , who gave the definitions of the conformable derivatives to the left and to the right of the higher order, the exponential functions, the Gronwall transformation inequality, and the Laplace transformation for conformable fractional calculus. Web10. jul 2024. · We study the conformable fractional (CF) Dirac system with separated boundary conditions on an arbitrary time scale T $\\mathbb{T}$ . Then we extend some basic spectral properties of the classical Dirac system to the CF case. Eventually, some asymptotic estimates for the eigenfunction of the CF Dirac eigenvalue problem are … Web09. dec 2024. · The main aim of the present article is to introduce some new ∇-conformable dynamic inequalities of Hardy type on time scales. We present and prove several results using chain rule and Fubini’s theorem on time scales. Our results generalize, complement, and extend existing results in the literature. Many special cases of the proposed results, … city cruises york - self drive boat hire

Fractional Sobolev’s Spaces on Time Scales via Conformable Fractional ...

Category:(PDF) Multivariable Conformable Fractional Calculus

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On conformable fractional calculus

Some notes on conformable fractional Sturm–Liouville problems

WebON CONFORMABLE NABLA FRACTIONAL DERIVATIVE ON TIME SCALES. ZHAO Da-fang,YOU Xue-xiao,HU Chang-song (School of Mathematics and Statistics,Hubei Normal University,Huangshi 435002,China) ... Fractional Calculus is a generalization of ordinary differentiation and integration to arbitrary(non-integer)order.The subject is as old as the … Web23. okt 2024. · Recently, a definition of fractional which refers to classical calculus form called conformable fractional calculus has been introduced. The main idea of the concept of conformable fractional calculus is how to determine the derivative and integral with fractional order either rational numbers or real numbers. One of the most popular …

On conformable fractional calculus

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Web06. apr 2024. · Fractional calculus is a powerful and effective tool for modelling nonlinear systems. In this paper, we introduce a class of new fractional derivative named general conformable fractional derivative … Expand. 217. Save. Alert. New properties of conformable derivative. A. Atangana, D. Baleanu, A. Alsaedi; WebAuthor: Douglas R. Anderson Publisher: CRC Press ISBN: 100009393X Category : Mathematics Languages : en Pages : 336 Download Book. Book Description The …

WebFractional calculus has been more important in many fields of science and engineering in recent years. It has developed into an engaging and productive area of mathematical … Web12. maj 2015. · A conformable time-scale fractional calculus of order $α\\in ]0,1]$ is introduced. The basic tools for fractional differentiation and fractional integration are …

Web17. dec 2024. · The conformable fractional eigenvalue problem $$\begin{aligned} -D_{x}^{\alpha }D_{x}^{\alpha }y+q(x)y=\lambda \rho (x)y \end{aligned}$$ is considered. We employ an easy and efficient method to derive its eigenvalue asymptotic expansion. On the basis of this result, we also investigate Ambarzumyan problems related to this … WebUsing conformable fractional calculus on time scales, we first introduce fractional Sobolev spaces on time scales, characterize them, and define weak conformable fractional derivatives. Second, we prove the equivalence of some norms in the introduced spaces and derive their completeness, reflexivity, uniform convexity, and compactness of …

Web21. jul 2016. · the conformable fractional q-derivativ e and the conformable fractional q-integral. 2.1 Conformable fractional q-calculus Definition 2.2 The conformable …

Web08. apr 2024. · Using fractional differential geometry, we define different types of conformable magnetic curves to discuss some geometric features of the motion of the charged particle when its geometry is induced by the conformable fractional derivative. We obtain the non-stretching motions and the inextensibility conditions of the conformable … citycrusher youtubeWeb11. maj 2024. · Fractional Calculus and Applied Analysis - We point out a major flaw in the so-called conformable calculus. We demonstrate why it fails at defining a fractional order … city cruise terminal southampton addressWebThe conformable time-scale fractional calculus of order is introduced in and has been used to develop the fractional differentiation and fractional integration. After then, many authors got interested in this type of derivatives for their many nice behaviors [ 10 , 15 – 18 ]. dictionary plenum