Results 91 to 100 of about 58,917 (294)
On qualitative analysis of an ecological dynamics with time delay
Asian Journal of Control, EarlyView.Abstract In this paper, we study a fractional‐order predator–prey system with time delay, where the dynamics are logistic with prey population commensurate to the carrying capacity. Mainly, by linearizing the system around the equilibrium point, we first analyze the stability and then prove the existence of Hopf bifurcation.
Canan Celik, Kubra Degerli
wiley +1 more source
Advances in Mathematical PhysicsThis paper presents an efficient numerical scheme for the space–time tempered fractional convection–diffusion equation, where the time derivative is the Caputo-tempered fractional derivative and the space derivatives are the normalized left and right ...
Dechao Gao +3 more
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On Coupled Systems of Time-Fractional Differential Problems by Using a New Fractional Derivative
Journal of Function Spaces, 2016 The existence of solutions for a coupled system of time-fractional differential equations including continuous functions and the Caputo-Fabrizio fractional derivative is examined.
Ahmed Alsaedi +3 more
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Psi-Caputo Logistic Population Growth Model
Journal of Mathematics, 2021 This article studies modeling of a population growth by logistic equation when the population carrying capacity K tends to infinity. Results are obtained using fractional calculus theories.
Muath Awadalla +2 more
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Uniqueness for weak solutions of parabolic equations with a fractional time derivative
, 2018 We prove uniqueness for weak solutions to abstract parabolic equations with the fractional Marchaud or Caputo time derivative. We consider weak solutions in time for divergence form equations when the fractional derivative is transferred to the test ...
Allen, Mark
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The Effect of the Caputo Fractional Derivative on Polynomiography
Mathematics Interdisciplinary Research, 2023 This paper presents the visualization process of finding the roots of a complex polynomial - which is called polynomiography - by the Caputo fractional derivative. In this work, we substitute the variable-order Caputo fractional derivative for classic derivative in Newton's iterative method. To investigate the proposed root-finding method,
openaire +2 more sources
Interval‐valued Caputo–Fabrizio fractional derivative in continuous programming
Asian Journal of Control, EarlyView.Abstract This study investigates a novel class of variational programming problems characterized by fractional interval values, formulated under the Caputo–Fabrizio fractional derivative with an exponential kernel. Invex and generalized invex functions are used to discuss the Mond–Weir‐type dual problem for the considered variational problem.
Krishna Kummari +2 more
wiley +1 more source
, 2010 We prove optimality conditions for different variational functionals containing left and right Caputo fractional derivatives. A sufficient condition of minimization under an appropriate convexity assumption is given.
Agrawal +31 more
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Fractional variational principles with delay within caputo derivatives
Reports on Mathematical Physics, 2010 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Jarad, Fahd +2 more
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