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Some incomplete Riemann-Liouville fractional derivative operators

open access: yes, 2022
Several investigations were done by many researchers on extended fractional derivatives operators using different kinds of extended Beta functions (see, e.g.,([4],[7],[8],[18],[20]), and references therein). In this sequel, we develop some new properties on incomplete extended Riemann-Liouville fractional derivative operators with the help of new ...
Menon, Mudita   +2 more
openaire   +1 more source

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

open access: yesElectronic 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

open access: yesJournal 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  

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