Results 111 to 120 of about 599,088 (208)

A Modified Groundwater Flow Model Using the Space Time Riemann-Liouville Fractional Derivatives Approximation

Abstract and Applied Analysis, 2014
The notion of uncertainty in groundwater hydrology is of great importance as it is known to result in misleading output when neglected or not properly accounted for. In this paper we examine this effect in groundwater flow models.
Abdon Atangana, S. C. Oukouomi Noutchie
doaj   +1 more source

Numerical Algorithms for the Fractional Diffusion-Wave Equation with Reaction Term

Abstract and Applied Analysis, 2013
Two numerical algorithms are derived to compute the fractional diffusion-wave equation with a reaction term. Firstly, using the relations between Caputo and Riemann-Liouville derivatives, we get two equivalent forms of the original equation, where we ...
Hengfei Ding, Changpin Li
doaj   +1 more source

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., Sousa, Maria V. S., Pereira, Amália R. E., Sousa, J. Vanterler C., Costa, Felix S.   +4 more
core  

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
core  

Riemann-Liouville fractional cosine functions

, 2016
In this article, we present the notion of Riemann-Liouville fractional cosine function. we prove that a Riemann-Liouville alpha-order fractional cosine function is equivalent to the Riemann-Liouville alpha-order fractional resolvent introduced in [15]
Ji-Gen Peng, Zhan-Dong Mei
core  

A q-fractional approach to the regular Sturm-Liouville problems

Electronic Journal of Differential Equations, 2017
In this article, we study the regular $q$-fractional Sturm-Liouville problems that include the right-sided Caputo q-fractional derivative and the left-sided Riemann-Liouville q-fractional derivative of the same order, $\alpha \in (0,1)$.
Maryam A. AL-Towailb
doaj  

Generalized Extended Riemann-Liouville type fractional derivative operator

, 2019
In this paper, we aim to present new extensions of incomplete gamma, beta, Gauss hypergeometric, confluent hypergeometric function and Appell-Lauricella hypergeometric functions, by using the extended Bessel function due to Boudjelkha [4].
Abbas, Hafida, Azzouz, Abdelhalim, Zahaf, Mohammed Brahim, Belmekki, Mohamed   +3 more
core  

THE NEW SOLUTION OF TIME FRACTIONAL WAVE EQUATION WITH CONFORMABLE FRACTIONAL DERIVATIVE DEFINITION

Journal of New Theory, 2015
– In this paper, we used new fractional derivative definition, the conformable fractional derivative, for solving two and three dimensional time fractional wave equation.
Yücel Çenesiz, Ali Kurt
doaj  

Analytical approximate solutions of fractionel convection-diffusion equation with modified Riemann-Liouville derivative by means of fractional variational iteration method

, 2013
In this article, an analytical approximate solution of nonlinear fractional convection-diffusion with modified Riemann-Liouville derivative was obtained with the help of fractional variational iteration method (FVIM).
M Merdan
core   +1 more source

A novel grey system model with discrete Riemann-Liouville fractional derivative and its applications. [PDF]

Sci Prog
Xu Z, Peng R, Pang M, Jiang J, Zhang R, Liu C.   +5 more
europepmc   +1 more source