Results 11 to 20 of about 39,585 (286)
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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AEJ - Alexandria Engineering Journal, 2020 We present a fractional-order epidemic model for childhood diseases with the new fractional derivative approach proposed by Caputo and Fabrizio. By applying the Laplace Adomian decomposition method (LADM), we solve the problem and the solutions are ...
D. Baleanu +3 more
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Implicit Fractional Differential Equations via the Liouville–Caputo Derivative [PDF]
Mathematics, 2015 We study an initial value problem for an implicit fractional differential equation with the Liouville–Caputo fractional derivative. By using fixed point theory and an approximation method, we obtain some existence and uniqueness results.
Juan Nieto +2 more
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Modeling non-Darcian flow and solute transport in porous media with the Caputo–Fabrizio derivative
Applied Mathematical Modelling, 2019 In this study, the non-Darcian flow and solute transport in porous media are modeled with a revised Caputo derivative called the Caputo–Fabrizio fractional derivative.
Hongwei Zhou, Sheng-Qi Yang, S. Q. Zhang
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Numerical solutions of fractional optimal control with Caputo–Katugampola derivative
Advances in Difference Equations, 2021 In this paper, we present a numerical technique for solving fractional optimal control problems with a fractional derivative called Caputo–Katugampola derivative. This derivative is a generalization of the Caputo fractional derivative.
N. H. Sweilam +2 more
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Mathematics, 2022 The generalized proportional Caputo fractional derivative is a comparatively new type of derivative that is a generalization of the classical Caputo fractional derivative, and it gives more opportunities to adequately model complex phenomena in physics ...
Ravi Agarwal +2 more
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Analytical Solutions of a Class of Fluids Models with the Caputo Fractional Derivative
Fractal and Fractional, 2022 This paper studies the analytical solutions of the fractional fluid models described by the Caputo derivative. We combine the Fourier sine and the Laplace transforms.
N. Sene
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Caputo-type modification of the Hadamard fractional derivatives [PDF]
Advances in Difference Equations, 2012 Abstract Generalization of fractional differential operators was subjected to an intense debate in the last few years in order to contribute to a deep understanding of the behavior of complex systems with memory effect. In this article, a Caputo-type modification of Hadamard fractional derivatives is introduced. The properties of the modified
Fahd Jarad +2 more
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Analysis and applications of the proportional Caputo derivative [PDF]
Advances in Difference Equations, 2021 AbstractIn this paper, we investigate the analysis of the proportional Caputo derivative that recently has been constructed. We create some useful relations between this new derivative and beta function. We discretize the new derivative. We investigate the stability and obtain a stability condition for the new derivative.
Ali Akgül, Dumitru Băleanu
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Generalized natural boundary conditions for fractional variational problems in terms of the Caputo derivative [PDF]
Computers and Mathematics with Applications, 2010 This paper presents the necessary and sufficient optimality conditions for problems of the fractional calculus of variations with a Lagrangian depending on the free end-points. The fractional derivatives are defined in the sense of Caputo.
A. Malinowska, Delfim F. M. Torres
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