Results 21 to 30 of about 161,465 (191)
On the fractional deformation of a linearly elastic bar
Journal of the Mechanical Behavior of Materials, 2020 Fractional derivatives have non-local character, although they are not mathematical derivatives, according to differential topology. New fractional derivatives satisfying the requirements of differential topology are proposed, that have non-local ...
Lazopoulos Konstantinos A. +1 more
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Mathematics, 2021 In this work, we study variational problems with time delay and higher-order distributed-order fractional derivatives dealing with a new fractional operator.
Fátima Cruz +2 more
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Journal of Advanced Research, 2023 Introduction: Recently, a new family of fractional derivatives called the piecewise fractional derivatives has been introduced, arguing that for some problems, each of the classical fractional derivatives may not be able to provide an accurate statement ...
Mohammad Hossein Heydari +2 more
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International Journal of Analysis and Applications, 2023 This study presents the fractional reduced differential transform method for a nonlinear mutualism model with fractional diffusion. The fractional derivatives are described by Caputo's fractional operator.
Mohamed Ahmed Abdallah +1 more
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FRACTIONAL DERIVATIVE AS FRACTIONAL POWER OF DERIVATIVE [PDF]
International Journal of Mathematics, 2007 Definitions of fractional derivatives as fractional powers of derivative operators are suggested. The Taylor series and Fourier series are used to define fractional power of selfadjoint derivative operator. The Fourier integrals and Weyl quantization procedure are applied to derive the definition of fractional derivative operator.
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Some types of first order fractional differential equations and their applications [PDF]
E3S Web of Conferences, 2021 This paper uses a new multiplication of fractional functions and chain rule for fractional derivatives, regarding the Jumarie type of modified Riemann-Liouville fractional derivatives to obtain the general solutions of four types of first order ...
Yu Chiihuei
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Fractional Coins and Fractional Derivatives [PDF]
Abstract and Applied Analysis, 2013 This paper discusses the fundamentals of negative probabilities and fractional calculus. The historical evolution and the main mathematical concepts are discussed, and several analogies between the two apparently unrelated topics are established. Based on the new conceptual perspective, some experiments are performed shading new light into possible ...
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No nonlocality. No fractional derivative [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2018 The paper discusses the characteristic properties of fractional derivatives of non-integer order. It is known that derivatives of integer orders are determined by properties of differentiable functions only in an infinitely small neighborhood of the considered point.
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Research on some types of fractional differential equations which can be transformed into separable variables [PDF]
E3S Web of Conferences, 2021 In this paper, we study some types of fractional differential equations which can be transformed into separable variables, regarding the Jumarie type of modified Riemann-Liouville fractional derivatives.
Yu Chiihuei
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A multiscale collocation method for fractional differential problems [PDF]
, 2018 We introduce a multiscale collocation method to numerically solve differential problems involving both ordinary and fractional derivatives of high order.
Pezza, L., Pitolli, F.
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