Results 111 to 120 of about 3,290 (179)

Extended Jacobi Functions via Riemann-Liouville Fractional Derivative [PDF]

, 2020
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.
Esra Erkug-Duman, Bayram Çekim
core  

A Survey on Semilinear Differential Equations and Inclusions Involving Riemann-Liouville Fractional Derivative

, 2009
We establish sufficient conditions for the existence of mild solutions for some densely defined semilinear functional differential equations and inclusions involving the Riemann-Liouville fractional derivative.
Belmekki, Mohammed, Ravi P. Agarwal, Mohammed Belmekki, Mouffak Benchohra, Agarwal, Ravi P., Benchohra, Mouffak   +5 more
core   +1 more source

Regularity of mild solutions to fractional Cauchy problems with Riemann-Liouville fractional derivative

, 2014
As an extension of the fact that a sectorial operator can determine an analytic semigroup, we first show that a sectorial operator can determine a real analytic alpha-order fractional resolvent which is defined in terms of Mittag-Leffler function and ...
Hong-Rui Sun, Ya-Ning Li
core  

Numerical solutions of time fractional degenerate parabolic equations by variational iteration method with Jumarie-modified Riemann-Liouville derivative

, 2011
In this article, the fractional variational iteration method is employed for computing the approximate analytical solutions of degenerate parabolic equations with fractional time derivative.
Roul, Pradip, Pradip Roul
core   +1 more source

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  

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  

Proposal for use of the fractional derivative of radial functions in interpolation problems

This paper presents the construction of a family of radial functions aimed at emulating the behavior of the radial basis function known as thin plate spline (TPS). Additionally, a method is proposed for applying fractional derivatives, both partially and
Brambila Paz, Fernando, Ramírez, Rafael, 1966-, Torres Hernandez, Anthony   +2 more
core   +1 more source

A Lyapunov inequality for a class of fractional boundary value problems with Riemann-Liouville derivative [PDF]

In this paper, a Lyapunov-type inequality is obtained for a class of fractional boundary value problems involving Riemann-Liouville fractional derivative of orders α ∈ (1, 2) and β ∈ (0, α − 1).
Silva, Anabela S.
core  

Boundary-value problem for differential equation with mixed Riemann-Liouville derivative of fractional order

, 2014
ВІТЮК O. H., Міхайленко A. B. Крайова задача для диференціального рівняння із змішаною похідною Рімана—Ліувілля дробового порядку. В роботі отримано достатні умови розв’язності крайовоі задачі для диференціального рівняння, що містить мішану похідну ...
Mykhailenko, Anastasia Vitalyevna, Vityuk, Alexander Nikonorovich   +1 more
core  

Stochastic fractional-order memristive fuzzy bam neural networks with time delays and leakage term for finite-time stability analysis. [PDF]

Sci Rep
Kumar J, Ali MS, Sanober S, Yar M, Alotaibi AM, Ibrahim TF.   +5 more
europepmc   +1 more source