Results 31 to 40 of about 29,026 (312)
Dynamical Analysis of Generalized Tumor Model with Caputo Fractional-Order Derivative
Fractal and Fractional, 2023 In this study, we perform a dynamical analysis of a generalized tumor model using the Caputo fractional-order derivative. Tumor growth models are widely used in biomedical research to understand the dynamics of tumor development and to evaluate potential
Ausif Padder +6 more
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Computational analysis of time-fractional models in energy infrastructure applications
Alexandria Engineering Journal, 2023 In this paper, we propose an effective numerical method to solve the one- and two-dimensional time-fractional convection-diffusion equations based on the Caputo derivative.
Imtiaz Ahmad +5 more
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Boundary Value Problems, 2017 By mixing the idea of 2-arrays, continued fractions, and Caputo-Fabrizio fractional derivative, we introduce a new operator entitled the infinite coefficient-symmetric Caputo-Fabrizio fractional derivative.
Dumitru Baleanu +2 more
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A new Definition of Fractional Derivative and Fractional Integral [PDF]
Kirkuk Journal of Science, 2018 In this paper, we introduce three different definitions of fractional derivatives, namely Riemann-Liouville derivative, Caputo derivative and the new formula Caputo expansion formula, and some basics properties of these derivatives are discussed.
Ahmed M. Kareem
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High-order approximation to Caputo derivatives and Caputo-type advection-diffusion equations (II)
Fractional Calculus and Applied Analysis, 2015 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hefeng Li, Jianxiong Cao, Changpin Li
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Caputo–Hadamard Fractional Derivatives of Variable Order [PDF]
Numerical Functional Analysis and Optimization, 2016 ABSTRACTIn this article, we present three types of Caputo–Hadamard derivatives of variable fractional order and study the relations between them. An approximation formula for each fractional operator, using integer-order derivatives only, is obtained and an estimation for the error is given.
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A delayed plant disease model with Caputo fractional derivatives [PDF]
Advances in Continuous and Discrete Models, 2022 AbstractWe analyze a time-delay Caputo-type fractional mathematical model containing the infection rate of Beddington–DeAngelis functional response to study the structure of a vector-borne plant epidemic. We prove the unique global solution existence for the given delay mathematical model by using fixed point results. We use the Adams–Bashforth–Moulton
Pushpendra Kumar +4 more
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Introduction to the fractional-order chaotic system under fractional operator in Caputo sense
Alexandria Engineering Journal, 2021 In this paper, we consider a new fractional-order chaotic system described by the Caputo fractional derivative. This paper’s main objective is to analyze the bifurcation maps to detect the chaotic regions for a new fractional-order chaotic system.
Ndolane Sene
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Alexandria Engineering Journal, 2023 In this research paper, the third-order fractional partial differential equation (FPDE) in the sense of the Caputo fractional derivative and the Atangana-Baleanu Caputo (ABC) fractional derivative is investigated for the first time. The importance of the
Shorish Omer Abdulla +2 more
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Caputo derivatives of fractional variable order: Numerical approximations [PDF]
Communications in Nonlinear Science and Numerical Simulation, 2016 This is a preprint of a paper whose final and definite form is in Communications in Nonlinear Science and Numerical Simulation, ISSN: 1007-5704.
Tavares, Dina +2 more
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