Results 211 to 220 of about 47,231 (266)

Chaos control and sensitivity analysis of climate change under green gases and carbon omission utilizing caputo fractional operator. [PDF]

Sci Rep
Ahmad A, Khan MS, Ozsahin DU, Ahmad H, Munir A, Radwan T.   +5 more
europepmc   +1 more source

Robust fractional-order adaptive cascaded strategy for mitigating load frequency deviations in renewable thermal hybrid systems. [PDF]

Sci Rep
Halim YMA, Omar OAM, Attia MA, Diaaeldin IM, Badr AO, Afifi MA.   +5 more
europepmc   +1 more source

Applications of the Mittag-Leffler law to linear kinetic models & diffusion equations. [PDF]

Sci Rep
Monyayi VT, Doungmo Goufo EF, Tchangou Toudjeu I.   +2 more
europepmc   +1 more source

Fractional boundary value problem with $$\varvec{\psi }$$-Caputo fractional derivative

Proceedings - Mathematical Sciences, 2019
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mohammed S Abdo, S. K. Panchal, Abdulkafi. M. Saeed   +2 more
semanticscholar   +3 more sources

Dynamics of the Caputo fractional derivative

Fractional Calculus and Applied Analysis
Abstract In this article we analyse the dynamical behaviour of the Caputo complex fractional derivative. We prove that the Caputo complex fractional derivative operator is Devaney chaotic in the Mittag-Leffler Caputo space. We will also show that a tuple of different iterates of a Caputo derivative multiple is disjoint hypercyclic.
Marina Murillo‐Arcila, Alfred Peris, Álvaro Vargas-Moreno   +2 more
semanticscholar   +4 more sources

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Controllability of fractional dynamical systems with ψ-Caputo fractional derivative

Physica Scripta, 2023
The idea behind this study is to investigate the controllability of dynamical systems in terms of the ψ-Caputo fractional derivative. The Grammian matrix is used to get at necessary and sufficient controllability requirements for linear systems, which ...
A. P. Selvam, M. Vellappandi, V. Govindaraj   +2 more
semanticscholar   +1 more source

Fractional viscoelastic models with Caputo generalized fractional derivative

Mathematical Methods in the Applied Sciences, 2021
This article focuses on fractional Maxwell model of viscoelastic materials, which are a generalization of classic Maxwell model to noninteger order derivatives. We present and discuss formulations of the fractional order viscoelastic model and give physical interpretations of the model by using viscoelastic functions.
Nikita Bhangale, Krunal B. Kachhia, J. F. Gómez‐Aguilar   +2 more
openaire   +2 more sources

Radiative MHD bioconvective nanofluid flow due to gyrotactic microorganisms using Atangana–Baleanu Caputo fractional derivative

Physica Scripta, 2021
In this paper, the Atangana–Baleanu Caputo (ABC) sense is applied on the unsteady MHD bioconvection nanofluid boundary layer flow due to gyrotactic microorganisms.
A. Arafa, Z. Z. Rashed, Sameh E. Ahmed
semanticscholar   +1 more source

On a Caputo-type fractional derivative

Advances in Pure and Applied Mathematics, 2019
Abstract In this paper, we present a new differential operator of arbitrary order defined by means of a Caputo-type modification of the generalized fractional derivative recently proposed by Katugampola. The generalized fractional derivative, when convenient limits are considered, recovers the Riemann–Liouville and the Hadamard derivatives ...
Oliveira, Daniela S., de Oliveira, Edmundo Capelas   +1 more
openaire   +2 more sources

Caputo fractional derivative inequalities via \((h-m)\)-convexity

2022
Summary: The aim of this study is to establish some new Caputo fractional integral inequalities. By applying definition of \((h-m)\)-convexity and some straightforward inequalities an upper bound of the sum of left and right sided Caputo fractional derivatives has been established.
Mishra, Vishnu Narayan, Farid, Ghulam
openaire   +1 more source