Results 121 to 130 of about 52,407 (243)

Fractional fundamental lemma and fractional integration by parts formula -- Applications to critical points of Bolza functionals and to linear boundary value problems

open access: yes, 2015
In the first part of the paper, we prove a fractional fundamental (du Bois-Reymond) lemma and a fractional variant of the integration by parts formula. The proof of the second result is based on an integral representation of functions possessing Riemann ...
Bourdin, Loïc, Idczak, Dariusz
core   +1 more source

On a certain extension of the Riemann-Liouville fractional derivative operator [PDF]

open access: green, 2018
Nisar Sooppy Kottakkaran Sooppy   +2 more
openalex   +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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