Results 131 to 140 of about 20,476 (286)

A further extension of the extended Riemann–Liouville fractional derivative operator

open access: yesTURKISH JOURNAL OF MATHEMATICS, 2018
Summary: The main objective of this paper is to establish the extension of an extended fractional derivative operator by using an extended beta function recently defined by Parmar et al. by considering the Bessel functions in its kernel. We also give some results related to the newly defined fractional operator, such as Mellin transform and relations ...
Martin BOHNER   +3 more
openaire   +2 more sources

Generalized fractional derivatives and fourier transforms in tempered distributions with applications

open access: yesNetworks and Heterogeneous Media
The purpose of this paper is to define and prove that the Riemann–Liouville and Caputo fractional derivatives can be computed for tempered distributions, such that the fractional derivative of a tempered distribution remains a tempered distribution.
Amin Benaissa Cherif   +5 more
doaj   +1 more source

On Generalized Composite Fractional Derivative

open access: yesWalailak 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   +3 more
doaj   +1 more source

Anti-periodic boundary value problems of fractional differential equations with the Riemann-Liouville fractional derivative

open access: yes, 2013
In this paper, the author puts forward a kind of anti-periodic boundary value problems of fractional equations with the Riemann-Liouville fractional derivative. More precisely, the author is concerned with the following fractional equation: D0+αu(t)=f(t,
G. Chai
semanticscholar   +1 more source

On the Qualitative Analysis of Solutions of Two Fractional Order Fractional Differential Equations

open access: yesMathematics
In applied sciences, besides the importance of obtaining the analytical solutions of differential equations with constant coefficients, the qualitative analysis of the solutions of such equations is also very important.
Yasar Bolat   +2 more
doaj   +1 more source

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