Analysis and numerical computations of the fractional regularized long‐wave equation with damping term
Sign Up to like & getrecommendations! Published in 2020 at "Mathematical Methods in the Applied Sciences"
DOI: 10.1002/mma.6343
Abstract: This study explores the fractional damped generalized regularized long‐wave equation in the sense of Caputo, Atangana‐Baleanu, and Caputo‐Fabrizio fractional derivatives. With the aid of fixed‐point theorem in the Atangana‐Baleanu fractional derivative with Mittag‐Leffler–type kernel, we… read more here.
Keywords: wave equation; long wave; regularized long; atangana baleanu ... See more keywords
New discretization of Caputo–Fabrizio derivative
Sign Up to like & getrecommendations! Published in 2018 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-017-0514-1
Abstract: We derive a numerical approximation, namely L1–2 formula, to the Caputo–Fabrizio derivative by using a quadratic interpolation. Quadratic and cubic convergence rates are achieved for L1 and L1–2 formulas using Lagrange interpolation, respectively. We compute… read more here.
Keywords: caputo; caputo fabrizio; new discretization; discretization caputo ... See more keywords
Hilfer–Katugampola fractional derivatives
Sign Up to like & getrecommendations! Published in 2018 at "Computational and Applied Mathematics"
DOI: 10.1007/s40314-017-0536-8
Abstract: We propose a new fractional derivative, the Hilfer–Katugampola fractional derivative. Motivated by the Hilfer derivative this formulation interpolates the well-known fractional derivatives of Hilfer, Hilfer–Hadamard, Riemann–Liouville, Hadamard, Caputo, Caputo–Hadamard, Liouville, Weyl, generalized and Caputo-type. As… read more here.
Keywords: derivatives hilfer; caputo; hilfer katugampola; katugampola fractional ... See more keywords
On stability of nonlinear nonautonomous discrete fractional Caputo systems
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Mathematical Analysis and Applications"
DOI: 10.1016/j.jmaa.2020.124021
Abstract: Abstract Conditions to establish Mittag-Leffler stability of solutions for nonlinear nonautonomous discrete Caputo-like fractional systems just from the linear associated system is shown. Mittag-Leffler stability for linear systems is tackled pointing out properties the matrix… read more here.
Keywords: caputo; nonlinear nonautonomous; leffler stability; mittag leffler ... See more keywords
Extension of rate of change concept: From local to nonlocal operators with applications
Sign Up to like & getrecommendations! Published in 2020 at "Results in physics"
DOI: 10.1016/j.rinp.2020.103515
Abstract: Abstract The concept of rate of change gave birth to numerous important theories and applications in mathematics, applied mathematics and other related academic disciplines. For example, differential calculus which is linked to integral calculus via… read more here.
Keywords: caputo; change; calculus; function ... See more keywords
Existence theory and numerical solutions to smoking model under Caputo-Fabrizio fractional derivative.
Sign Up to like & getrecommendations! Published in 2019 at "Chaos"
DOI: 10.1063/1.5079644
Abstract: In this paper, taking fractional derivative due to Caputo and Fabrizo, we have investigated a biological model of smoking type. By using Sumudu transform and Picard successive iterative technique, we develop the iterative solutions for… read more here.
Keywords: caputo; numerical solutions; fractional derivative; model ... See more keywords
Generalized fractional viscothermoelastic nanobeam under the classical Caputo and the new Caputo–Fabrizio definitions of fractional derivatives
Sign Up to like & getrecommendations! Published in 2021 at "Waves in Random and Complex Media"
DOI: 10.1080/17455030.2021.1883767
Abstract: In this paper, we introduce a new unified formula that governs two different definitions of fractional derivative; the classical Caputo definition and Caputo–Fabrizio's new definition. Hence, an an... read more here.
Keywords: caputo; caputo fabrizio; generalized fractional; classical caputo ... See more keywords
Asymptotic-sequentially solution style for the generalized Caputo time-fractional Newell–Whitehead–Segel system
Sign Up to like & getrecommendations! Published in 2019 at "Advances in Difference Equations"
DOI: 10.1186/s13662-019-2021-8
Abstract: The Caputo fractional version of the generalized Newell–Whitehead–Segel model is considered. We introduced a numerical scheme to solve analytically the proposed application. We updated the style of the generalized Taylor series for a reliable treatment… read more here.
Keywords: style generalized; whitehead segel; caputo; time fractional ... See more keywords
Application of fixed point theorem for stability analysis of a nonlinear Schrodinger with Caputo-Liouville derivative
Sign Up to like & getrecommendations! Published in 2017 at "Filomat"
DOI: 10.2298/fil1708243a
Abstract: Using the new Caputo-Fabrizio derivative with fractional order, we have modified the nonlinear Schrodinger equation. We have shown some useful in connection of the new derivative with fractional order. We used an iterative approach to… read more here.
Keywords: caputo; point theorem; nonlinear schrodinger; stability ... See more keywords
Dynamics of unsteady fluid-flow caused by a sinusoidally varying pressure gradient through a capillary tube with Caputo-Fabrizio derivative
Sign Up to like & getrecommendations! Published in 2023 at "Thermal Science"
DOI: 10.2298/tsci23s1049s
Abstract: This paper presents a study of the unsteady flow of second grade fluid through a capillary tube, caused by sinusoidally varying pressure gradient, with fractional derivative model. The fractional derivative is taken in Caputo-Fabrizio sense.… read more here.
Keywords: caputo fabrizio; varying pressure; sinusoidally varying; caputo ... See more keywords
A Novel Investigation of Non-Periodic Snap BVP in the G-Caputo Sense
Sign Up to like & getrecommendations! Published in 2022 at "Axioms"
DOI: 10.3390/axioms11080390
Abstract: In the present paper, we consider a nonlinear fractional snap model with respect to a G-Caputo derivative and subject to non-periodic boundary conditions. Some qualitative analysis of the solution, such as existence and uniqueness, are… read more here.
Keywords: non periodic; investigation non; novel investigation; caputo ... See more keywords