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A Note on Caputo’s Derivative Operator Interpretation in Economy
Journal of Applied Mathematics, 2018 We propound the economic idea in terms of fractional derivatives, which involves the modified Caputo’s fractional derivative operator. The suggested economic interpretation is based on a generalization of average count and marginal value of economic ...
Hameed Ur Rehman +2 more
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Fractal Derivatives, Fractional Derivatives and q-Deformed Calculus [PDF]
Entropy, 2023 This work presents an analysis of fractional derivatives and fractal derivatives, discussing their differences and similarities. The fractal derivative is closely connected to Haussdorff’s concepts of fractional dimension geometry.
Airton Deppman +2 more
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An efficient numerical technique for solving time fractional Burgers equation
Alexandria Engineering Journal, 2020 A finite difference scheme which depends on a new approximation based on an extended cubic B-spline for the second order derivative is used to calculate the numerical outcomes of time fractional Burgers equation.
Tayyaba Akram +4 more
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Mathematical analysis of fractional-order Caputo’s derivative of coronavirus disease model via Laplace Adomian decomposition method [PDF]
Beni Suef Univ J Basic Appl Sci, 2022 The world's survival ability has been threatened by the COVID-19 outbreak. The possibility of the virus reemerging in the future should not be disregarded, even if it has been confined to certain areas of the world after wreaking such havoc.
A. Yunus +4 more
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Nonlinear Engineering, 2023 A nonlinear Boussinesq equation under fractal fractional Caputo’s derivative is studied. The general series solution is calculated using the double Laplace transform with decomposition. The convergence and stability analyses of the model are investigated
Algahtani Obaid J.
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Delay-Dependent Stability Criterion of Caputo Fractional Neural Networks with Distributed Delay
Discrete Dynamics in Nature and Society, 2014 This paper is concerned with the finite-time stability of Caputo fractional neural networks with distributed delay. The factors of such systems including Caputo’s fractional derivative and distributed delay are taken into account synchronously.
Abdulaziz Alofi +3 more
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Mittag-Leffler Stability Theorem for Fractional Nonlinear Systems with Delay
Abstract and Applied Analysis, 2010 Fractional calculus started to play an important role for analysis of the evolution of the nonlinear dynamical systems which are important in various branches of science and ...
S. J. Sadati +4 more
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On Fractional SIRC Model with Salmonella Bacterial Infection
Abstract and Applied Analysis, 2014 We propose a fractional order SIRC epidemic model to describe the dynamics of Salmonella bacterial infection in animal herds. The infection-free and endemic steady sates, of such model, are asymptotically stable under some conditions.
Fathalla A. Rihan +3 more
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Results in Physics, 2021 The generalized ZK-Burgers equation has nonlinear characteristics of the governing equation and helps to understand nonlinear waves in many fluid problems of plasma mediums.
Naeem Faraz +4 more
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Fractional hamilton formalism within caputo’s derivative [PDF]
, 2006 In this paper we develop a fractional Hamiltonian formulation for dynamic systems defined in terms of fractional Caputo derivatives. Expressions for fractional canonical momenta and fractional canonical Hamiltonian are given, and a set of fractional ...
D. Băleanu, O. Agrawal
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