Well‐posedness of degenerate differential equations with fractional derivative in vector‐valued functional spaces
Sign Up to like & getrecommendations! Published in 2017 at "Mathematische Nachrichten"
DOI: 10.1002/mana.201500481
Abstract: In this paper, we study the well-posedness of the degenerate differential equations with fractional derivative Dα(Mu)(t)=Au(t)+f(t),(0≤t≤2π) in Lebesgue–Bochner spaces Lp(T;X), periodic Besov spaces Bp,qs(T;X) and periodic Triebel–Lizorkin spaces Fp,qs(T;X), where A and M are closed… read more here.
Keywords: degenerate differential; well posedness; fractional derivative; posedness degenerate ... See more keywords
On the existence of the solution of Hammerstein integral equations and fractional differential equations
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DOI: 10.1007/s12190-021-01558-1
Abstract: Nonlinear integral equations (particularly Hammerstein integral equations) and fractional differential equations have been the center of extensive research for various scientists because of their practical and physical significance. In this article, our focus is to… read more here.
Keywords: equations fractional; hammerstein integral; fractional differential; integral equations ... See more keywords
Modified Fractional Runge–Kutta Method for Solving Fuzzy Differential Equations of Fractional Order
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DOI: 10.1007/s40009-019-00867-1
Abstract: The purpose of this research work is to solve fuzzy differential equations of fractional order under the Caputo-type. The modified fractional Runge–Kutta (R–K) method is proposed based on a generalized Runge–Kutta formula and modified trapezoidal… read more here.
Keywords: fuzzy differential; fractional order; differential equations; runge kutta ... See more keywords
A modified computational algorithm for solving systems of linear integro-differential equations of fractional order
Sign Up to like & getrecommendations! Published in 2019 at "Journal of King Saud University - Science"
DOI: 10.1016/j.jksus.2018.09.005
Abstract: Abstract In this paper, a simple algorithm is applied to the systems of linear integro-differential equations of fractional order, the fractional derivative is described in the Caputo sense. The applied algorithm consists of a single… read more here.
Keywords: equations fractional; integro differential; linear integro; systems linear ... See more keywords
Global regularity of the 2D magnetohydrodynamic equations with fractional anisotropic dissipation
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DOI: 10.1016/j.nonrwa.2018.07.014
Abstract: Abstract This paper is dedicated to establishing the global regularity for the two dimensional magnetohydrodynamic equations with fractional anisotropic dissipation when the fractional powers are restricted to some certain ranges. In addition, the global regularity… read more here.
Keywords: equations fractional; magnetohydrodynamic equations; dissipation; global regularity ... See more keywords
Modified wavelets–based algorithm for nonlinear delay differential equations of fractional order
Sign Up to like & getrecommendations! Published in 2017 at "Advances in Mechanical Engineering"
DOI: 10.1177/1687814017696223
Abstract: Most of the physical phenomena located around us are nonlinear in nature and their solutions are of great significance for scientists and engineers. In order to have a better representation of these physical phenomena, fractional… read more here.
Keywords: fractional order; delay; differential equations; equations fractional ... See more keywords