Novel solution to the fractional neutron point kinetic equation using conformable derivatives
Sign Up to like & getrecommendations! Published in 2021 at "Annals of Nuclear Energy"
DOI: 10.1016/j.anucene.2021.108407
Abstract: Abstract This work presents a novel solution to Fractional-model equations, it is based on the applying of conformal derivative to fractional calculus and thus obtain a linear multi-term differential equations of integer order (Conformal-model). The… read more here.
Keywords: methodology; solution fractional; novel solution; model ... See more keywords
Solution of Fractional Differential Equations Utilizing Symmetric Contraction
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DOI: 10.1155/2021/5510971
Abstract: The aim of this paper is to present another family of fractional symmetric - -contractions and build up some new results for such contraction in the context of - metric space. The author derives some… read more here.
Keywords: equations utilizing; utilizing symmetric; solution fractional; contraction ... See more keywords
Existence and uniqueness of the solution of fractional damped dynamical systems
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Difference Equations"
DOI: 10.1186/s13662-016-1049-2
Abstract: In this paper, we consider the existence and uniqueness of the solution of fractional damped dynamical systems. First, we obtain the spreading form of the Gronwall inequality. Furthermore, several sufficient conditions for the existence of… read more here.
Keywords: existence uniqueness; uniqueness solution; solution fractional; damped dynamical ... See more keywords
Hybrid Method for Solution of Fractional Order Linear Differential Equation with Variable Coefficients
Sign Up to like & getrecommendations! Published in 2018 at "International Journal of Nonlinear Sciences and Numerical Simulation"
DOI: 10.1515/ijnsns-2017-0167
Abstract: Abstract In this paper, we proposed a new analytical hybrid methods for the solution of conformable fractional differential equations (CFDE), which are based on the recently proposed conformable fractional derivative (CFD) in R. Khalil, M.… read more here.
Keywords: method solution; fractional order; solution fractional; solution ... See more keywords
Numerical Solution of Fractional Sine-Gordon Equation Using Spectral Method and Homogenization
Sign Up to like & getrecommendations! Published in 2019 at "International Journal of Nonlinear Sciences and Numerical Simulation"
DOI: 10.1515/ijnsns-2018-0339
Abstract: Abstract In this paper, a new method for the numerical solution of fractional sine-Gordon (SG) equation is presented. Our method consists of two steps, in first step: the main equation is converted to a homogeneous… read more here.
Keywords: sine gordon; numerical solution; method; solution fractional ... See more keywords
Analytical solutions to contact problem with fractional derivatives in the sense of Caputo
Sign Up to like & getrecommendations! Published in 2020 at "Thermal Science"
DOI: 10.2298/tsci20s1313n
Abstract: The current study extends the applications of the variational iteration method for the analytical solution of fractional contact problems. The problem involves Caputo sense while calculating the derivative of fractional order, we apply the Penalty… read more here.
Keywords: analytical solutions; solution fractional; boundary value; variational iteration ... See more keywords
Numerical Solution of Fractional Models of Dispersion Contaminants in the Planetary Boundary Layer
Sign Up to like & getrecommendations! Published in 2023 at "Mathematics"
DOI: 10.3390/math11092040
Abstract: In this study, a numerical solution for degenerate space–time fractional advection–dispersion equations is proposed to simulate atmospheric dispersion in vertically inhomogeneous planetary boundary layers. The fractional derivative exists in a Caputo sense. We establish the… read more here.
Keywords: solution fractional; time; dispersion; numerical solution ... See more keywords