Results 31 to 40 of about 443 (224)
Deflection of Beams Modeled by Fractional Differential Equations
Fractal and Fractional, 2022 Using the concept of a fractional derivative, in Caputo’s sense, we derive and solve a fractional differential equation that models the deflection of beams.
José Villa-Morales +2 more
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Fractional critical slowing down in some biological models
Frontiers in Physics, 2023 The critical slowing down (CSD) phenomenon of the switching time in response to perturbation β (0 < β < 1) of the control parameters at the critical points of the steady state bistable curves, associated with two biological models (the spruce ...
R. A. Alharbey, S. S. Hassan
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An existence result for the fractional Kelvin–Voigt’s model on time-dependent cracked domains [PDF]
, 2021 We prove an existence result for the fractional Kelvin–Voigt’s model involving Caputo’s derivative on time-dependent cracked domains. We first show the existence of a solution to a regularized version of this problem.
Caponi M. +3 more
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Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2013 We study a boundary value problem of fractional integrodifferential equations involving Caputo's derivative of order α ∈ (n-1,n) in a Banach space. Existence and uniqueness results for the problem are established by means of the Hölder's inequality ...
Karthikeyan K., Ahmad Bashir
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Application of the Aboodh Transform for Solving Fractional Delay Differential Equations
Universal Journal of Mathematics and Applications, 2020 In this article, we extend the concept of the Aboodh transform to the solution of partial differential equations of fractional order using Caputo's fractional derivative.
Kacem Belghaba +1 more
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Electronic Journal of Qualitative Theory of Differential Equations, 2011 In this paper, we study a kind of higher-order nonlinear fractional differential equation with integral boundary condition. The fractional differential operator here is the Caputo's fractional derivative.
Aijun Yang, Helin Wang
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Efficient schemes on solving fractional integro-differential equations [PDF]
, 2018 Fractional integro-differential equation (FIDE) emerges in various modelling of physical phenomena. In most cases, finding the exact analytical solution for FIDE is difficult or not possible.
Abd Rahim, Mohd Hilmi Izwan +2 more
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Fractal and Fractional, 2022 This paper establishes the upper bounds for the second and third coefficients of holomorphic and bi-univalent functions in a family which involves Bazilevic functions and μ-pseudo-starlike functions under a new operator, joining the neutrosophic Poisson ...
S. Santhiya, K. Thilagavathi
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Second Order Fuzzy Fractional Differential Equations Under Caputo’s H-Differentiability
, 2017 The aim of this paper is to use the concept of the generalized H-derivative to define fuzzy Caputo’s H-derivative of order β ∈(1,2]. Our definition is an extension of fuzzy Caputo’s H-derivative of order β ∈(0,1] and higher order H-derivative of ...
Mohammad Al-Momani +7 more
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Efficient implementation of rational approximations to fractional differential operators [PDF]
, 2017 This paper deals with some numerical issues about the rational approximation to fractional differential operators provided by the Padé approximants. In particular, the attention is focused on the fractional Laplacian and on the Caputo’s derivative which,
Lidia Aceto +3 more
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