Results 41 to 50 of about 45,924 (218)
Journal of Function Spaces, 2021 In this manuscript, we establish new existence and uniqueness results for fuzzy linear and semilinear fractional evolution equations involving Caputo fractional derivative.
Ali El mfadel, S. Melliani, M. Elomari
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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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On the formulation of Adams-Bashforth scheme with Atangana-Baleanu-Caputo fractional derivative to model chaotic problems. [PDF]
Chaos, 2019 Mathematical analysis with the numerical simulation of the newly formulated fractional version of the Adams-Bashforth method using the Atangana-Baleanu operator which has both nonlocal and nonsingular properties is considered in this paper.
K. Owolabi, A. Atangana
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Abstract differential equations and Caputo fractional derivative
Semigroup Forum, 2022 In this work I consider the abstract Cauchy problems with Caputo fractional time derivative of order $ \in(0,1]$, and discuss the continuity of the respective solutions regarding the parameter $ $. I also present a study about the continuity of the Mittag-Leffler families of operators (for $ \in(0,1]$), induced by sectorial operators.
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Exact results for a fractional derivative of elementary functions
SciPost Physics, 2018 We present exact analytical results for the Caputo fractional derivative of a wide class of elementary functions, including trigonometric and inverse trigonometric, hyperbolic and inverse hyperbolic, Gaussian, quartic Gaussian, and Lorentzian ...
Gavriil Shchedrin, Nathanael C. Smith, Anastasia Gladkina, Lincoln D. Carr
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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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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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A fractional model of cancer-immune system with Caputo and Caputo–Fabrizio derivatives [PDF]
The European Physical Journal Plus, 2021 Recently, it is important to try to understand diseases with large mortality rates worldwide, such as infectious disease and cancer. For this reason, mathematical modeling can be used to comment on diseases that adversely affect all people. So, this paper discuss mathematical model presented for the first time that examines the interaction between ...
Uçar, Esmehan, Özdemir, Necati
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Mathematical Modelling and Analysis, 2017 This paper investigates fractional order Barbalat’s lemma and its applications for the stability of fractional order nonlinear systems with Caputo fractional derivative at first.
Fei Wang, Yongqing Yang
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Caputo Fractional Derivative Hadamard Inequalities for Strongly m-Convex Functions
Journal of Function Spaces, 2021 In this paper, two versions of the Hadamard inequality are obtained by using Caputo fractional derivatives and strongly m-convex functions. The established results will provide refinements of well-known Caputo fractional derivative Hadamard inequalities ...
Xue Feng +5 more
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