Results 91 to 100 of about 3,290 (179)

Cauchy’s integral formula via the modified Riemann–Liouville derivative for analytic functions of fractional order

, 2010
The modified Riemann–Liouville fractional derivative applies to functions which are fractional differentiable but not differentiable, in such a manner that they cannot be analyzed by means of the Djrbashian fractional derivative. It provides a fractional
Jumarie, Guy, Guy Jumarie
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A study of forced oscillations via Hilfer fractional derivative

CQD Revista Eletrônica Paulista de Matemática, 2022
The present study seeks to understand the forced oscillations through modeling via fractional differential equation, using the derivative according to Hilfer and representing the external force as a succession of delta Dirac functions.
Silas de Sá Cavalcanti Melo, Edmundo Capelas de Oliveira   +1 more
doaj  

Euler–Lagrange equations for variational problems involving the Riesz–Hilfer fractional derivative

Journal of Taibah University for Science, 2020
In this paper, we obtain the Euler-Lagrange equations for different kind of variational problems with the Lagrangian function containing the Riesz-Hilfer fractional derivative.
A. G. Ibrahim, A. A. Elmandouh
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Laplace’s transform of fractional order via the Mittag–Leffler function and modified Riemann–Liouville derivative

, 2009
We propose a (new) definition of a fractional Laplace’s transform, or Laplace’s transform of fractional order, which applies to functions which are fractional differentiable but are not differentiable, in such a manner that they cannot be analyzed by ...
Jumarie, Guy
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Extended Jacobi Functions via Riemann-Liouville Fractional Derivative [PDF]

, 2013
By means of the Riemann-Liouville fractional calculus, extended Jacobi functions are defined and some of their properties are obtained. Then, we compare some properties of the extended Jacobi functions extended Jacobi polynomials.
ÇEKİM, BAYRAM, Esra Erkuş-Duman, Erkus-Duman, ESRA, Bayram Çekim   +3 more
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On a Nonlocal Problem for Mixed-Type Equation with Partial Riemann-Liouville Fractional Derivative

, 2022
The present paper presents a study on a problem with a fractional integro-differentiation operator in the boundary condition for an equation with a partial Riemann-Liouville fractional derivative. The unique solvability of the problem is proved.
Rakhimjon Zunnunov, Menglibay Ruziev
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On Generalized Composite Fractional Derivative

Walailak Journal of Science and Technology, 2014
In the present paper, we define a generalized composite fractional derivative and obtain results, which include the image of power function, Laplace transform and composition of Riemann-Liouville fractional integral with the generalized composite ...
Mridula GARG, Pratibha MANOHAR, Lata CHANCHALANI, Subhash ALHA   +3 more
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On the fractional derivatives at extrema points

Electronic Journal of Qualitative Theory of Differential Equations, 2012
We correct a recent result concerning the fractional derivative at extrema points. We then establish new results for the Caputo and Riemann-Liouville fractional derivatives at extrema points.
Mohammed Al-Refai
doaj   +1 more source

Leibniz rule for riemann-liouville fractional derivative

, 2017
Bu tez beş bölümden oluşmaktadır. Birinci bölümde yapılan çalışmalar ve tezin genel amacı hakkında bilgiler verilmiştir. İkinci bölümde ise Gamma fonksiyonu, Beta fonksiyonu gibi temel kavramlar açıklanmıştır.
Arslan, Sevilay
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A numeric-analytic method for time-fractional Swift-Hohenberg (S-H) equation with modified Riemann-Liouville derivative

, 2013
In this paper, the fractional variational iteration method (FVIM) was applied to obtain the approximate solutions of time-fractional Swift-Hohenberg (S-H) equation with modified Riemann-Liouville derivative.
Merdan, Mehmet
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