Results 41 to 50 of about 598,171 (126)
Hardy-Type Inequalities for an Extension of the Riemann-Liouville Fractional Derivative Operators
In this paper we present variety of Hardy-type inequalities and their refinements for an extension of Riemann-Liouville fractional derivative operators.
Kashuri A. +3 more
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, 2018 Here, the concept of a new and interesting Riemann–Liouville type fractional derivative operator is exploited. Treatment of a fractional derivative operator has been made associated with the extended Appell hypergeometric functions of two variables and ...
M. Faisal Khan +2 more
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Initial value problems for fractional differential equations involving Riemann–Liouville sequential fractional derivative [PDF]
, 2010 In this paper, we shall discuss the properties of the well-known Mittag–Leffler function, and consider the existence and uniqueness of solution of the initial value problem for fractional differential equation involving Riemann–Liouville sequential ...
Wei, Zhongli +5 more
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Laplace’s transform of fractional order via the Mittag–Leffler function and modified Riemann–Liouville derivative [PDF]
, 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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, 2014 In this paper, fractional variational iteration method (FVIM) is applied for finding approximate analytical solutions of nonlinear fractional Klein-Gordon equation. Time-fractional derivative is described in the Riemann-Liouville sense. A new application
Merdan, Mehmet
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Cauchy’s integral formula via the modified Riemann–Liouville derivative for analytic functions of fractional order [PDF]
, 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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, 2015 We discuss the approximate controllability of fractional evolution equations involving generalized Riemann-Liouville fractional derivative. The results are obtained with the help of the theory of fractional calculus, semigroup theory, and the Schauder ...
N. I. Mahmudov, M. A. McKibben
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General (k, p)-Riemann-Liouville fractional integrals [PDF]
The main motivation of this study is to establish a general version of the Riemann-Liouville fractional integrals with two exponential parameters k and p which is determined over the (k, p)-gamma function.
Budak, Hüseyin, Benaissa, Bouharket
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Lie symmetry analysis for fractional evolution equation with $\psi$-Riemann-Liouville derivative
, 2023 We present the applycation of theory of Lie group analysis with $\psi$-Riemann-Liouville fractional derivative detailing the construction of infinitesimal prolongation to obtain Lie symmetries. In additional, is addressed the invariance condition without
Soares, Junior C. A. +4 more
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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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