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The role of fractional derivatives and magnetic fields in shaping MHD newtonian flow behavior in injected diverging channels. [PDF]
Sci RepTolami M, Nazari-Golshan A, Nourazar SS.
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Residual Power Series Method for Fractional Diffusion Equations
Fundamenta Informaticae, 2017In this article, improved residual power series method (RPSM) is effectively implemented to find the approximate analytical solution of a time fractional diffusion equations. The proposed method is an analytic technique based on the generalized Taylor’s series formula which construct an analytical solution in the form of a convergent series.
Kumar, Amit +2 more
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Soft Computing, 2022
In this paper, the fuzzy generalized fractional power series method is proposed to obtain the numerical solutions of a class of fuzzy fractional relaxation problems. For this purpose, the fuzzy generalized fractional power series under different types of the Caputo generalized Hukuhara differentiability are introduced. Some theorems are generalized for
Khatereh Ebdalifar +3 more
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In this paper, the fuzzy generalized fractional power series method is proposed to obtain the numerical solutions of a class of fuzzy fractional relaxation problems. For this purpose, the fuzzy generalized fractional power series under different types of the Caputo generalized Hukuhara differentiability are introduced. Some theorems are generalized for
Khatereh Ebdalifar +3 more
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Far East Journal of Mathematical Sciences (FJMS), 2019
Summary: In this paper, an analytical solution to nonlinear fractional integro-differential equations based on a generalized fractional power series expansion is presented. The fractional derivatives are of the conformable type. The new approach is a modified form of the well-known Taylor series expansion.
Thanompolkrang, Sirunya +1 more
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Summary: In this paper, an analytical solution to nonlinear fractional integro-differential equations based on a generalized fractional power series expansion is presented. The fractional derivatives are of the conformable type. The new approach is a modified form of the well-known Taylor series expansion.
Thanompolkrang, Sirunya +1 more
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ON FORMAL CONTINUED FRACTIONS RELATED TO POWER SERIES EXPANSION
JP Journal of Algebra, Number Theory and Applications, 2018Summary: We obtain formal continued fraction of a large class of functions using their power series expansion and symbolic computation.
Chammam, Wathek, Alhussain, Ziyad A.
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Continued Fractions of Algebraic Power Series in Characteristic 2
The Annals of Mathematics, 1976Let \(K=\mathbb F_2 ((x^{-1}))\) be the field of formal power series in \(x^{-1}\) over \(F= \mathbb F_2\), the field with two elements. There is a continued fraction theory for \(K\), analogous to that for real numbers, with polynomials in \(x\) playing the role of the integers. The following theorems are shown: Theorem 1.
Baum, Leonard E., Sweet, Melvin M.
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Continued fractions of formal power series
1993Abstract I will discuss continued fractions of formal power series, not for their own sake, but in terms of their use in obtaining explicit continued fraction expansions of classes of numbers. As we will see, the approach I outline accounts for essentially all the interesting examples of the past dozen years.
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Representation of Algebraic Functions As Power and Fractional Power Series of Special Type
Programming and Computer Software, 2001Let \(K\) be a field and let \(f\in K[x,y]\). The equation \(f(x,y)= 0\) defines a function \(y(x)\) which expands to a fractional power series, or Puiseux series, \[ y(x)= \sum^\infty_{n= n_0} \alpha_n(x- x_0)^{n/\varepsilon},\tag{1} \] where \(\varepsilon\in \mathbb{N}\), \(n_0\in\mathbb{Z}\).
Mitichkina, A. M., Ryabenko, A. A.
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Continued $$\beta $$ β -fractions with formal power series over finite fields
The Ramanujan Journal, 2015zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hbaib, M., Kammoun, R.
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Continued Fraction Expansions for Arbitrary Power Series
The Annals of Mathematics, 1940Scott, W. T., Wall, H. S.
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